KAWAHIGASHI Yasuyuki

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Name
KAWAHIGASHI Yasuyuki
E-mail
yasuyukims.u-tokyo.ac.jp
URL
http://www.ms.u-tokyo.ac.jp/~yasuyuki/index-e.html
Affiliation
The University of Tokyo
Section
Graduate School of Mathematical Sciences
Job title
Professor
Degree
Dr. Sci.(The University of Tokyo), Ph. D. in Mathematics(University of California, Los Angeles)
Other affiliation
The University of Tokyo

Research Areas

 
 

Academic & Professional Experience

 
1989
 - 
1991
University of Tokyo, Research Associate
 
Jun 1989
 - 
Mar 1991
Research Associate, Department of Mathematics, the University of Tokyo
 
1991
 - 
1992
University of Tokyo, Lecturer
 
Apr 1991
 - 
Mar 1992
Lecturer, Department of Mathematics, the University of Tokyo
 
Aug 1991
 - 
Jul 1992
Miller Research Fellow, University of California, Berkeley
 
1992
 - 
1999
University of Tokyo, Associate Professor
 
Apr 1992
 - 
Sep 1999
Associate Professor, Department of Mathematical Sciences, the University of Tokyo
 
Oct 1999
 - 
Today
Professor, Department of Mathematical Sciences, the University of Tokyo
 
Apr 2011
 - 
Mar 2012
Visiting Professor, RIMS, Kyoto University
 
Apr 2011
 - 
Today
Senior Scientist, Kavli IPMU, the University of Tokyo
 

Education

 
Apr 1981
 - 
Mar 1985
Department of Mathematics, Faculty of Science, the University of Tokyo
 
Apr 1985
 - 
Mar 1987
Department of Mathematics, Faculty of Science, the University of Tokyo
 
Sep 1985
 - 
Jun 1989
Department of Mathematics, University of California, Los Angeles
 

Awards & Honors

 
2002
Spring Prize, Mathematical Society of Japan
 
Aug 2018
Invited Lecture, ICM 2018
 

Published Papers

 
Carpi Sebastiano, Kawahigashi Yasuyuki, Longo Roberto, Weiner Mihaly
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY   254(1213) I-+   Jul 2018   [Refereed]
Kawahigashi Yasuyuki
LETTERS IN MATHEMATICAL PHYSICS   107(11) 1963-1970   Nov 2017   [Refereed]
Marcel Bischoff, Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo, Karl Henning Rehren
Communications in Mathematical Physics   342 1-45   Feb 2016   [Refereed]
? 2016, Springer-Verlag Berlin Heidelberg.We study the structure of local algebras in relativistic conformal quantum field theory with phase boundaries. Phase boundaries are instances of a more general notion of boundaries that give rise to a vari...
Yasuyuki Kawahigashi
Journal of Physics A: Mathematical and Theoretical   48    Jul 2015   [Refereed]
? 2015 IOP Publishing Ltd.This is a set of lecture notes on the operator algebraic approach to 2-dimensional conformal field theory. Representation theoretic aspects and connections to vertex operator algebras are emphasized. No knowledge on opera...
Yasuyuki Kawahigashi
Letters in Mathematical Physics   105 893-899   Jul 2015   [Refereed]
? 2015, Springer Science+Business Media Dordrecht.We give a mathematical definition of a gapped domain wall between topological phases and a gapped boundary of a topological phase. We then provide answers to some recent questions studied by Lan, W...
Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo, Feng Xu
Communications in Mathematical Physics   336 1285-1328   Jan 2015   [Refereed]
? 2014, Springer-Verlag Berlin Heidelberg.We provide an Operator Algebraic approach to N?=?2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N?=?1 case, the structure here is much richer. There are ...
Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo
Documenta Mathematica   20 1137-1184   Jan 2015   [Refereed]
Let A be a completely rational local M?bius covariant net on S1, which describes a set of chiral observables. We show that local M?bius covariant nets B2 on 2D Minkowski space which contains A as chiral left-right symmetry are in one-to-one corres...
Yasuyuki Kawahigashi, Yoshiko Ogata, Erling St?rmer
Pacific Journal of Mathematics   267 131-139   Feb 2014   [Refereed]
Let M be a factor of type III with separable predual and with normal states φ1,...,φk ω with ω faithful. Let A be a finite-dimensional C*-subalgebra of M. Then it is shown that there is a unitary operator u ε M such that φi o Ad u=ω on A for i = 1...
Yasuyuki Kawahigashi, Noppakhun Suthichitranont
International Mathematics Research Notices   2014 2924-2943   Jan 2014   [Refereed]
We construct holomorphic local conformal framed nets extended from a tensor power of the Virasoro net with with a pair of binary codes (C,D) satisfying the conditions given by Lam and Yamauchi for holomorphic framed vertex operator algebras. Our r...
CARPI Sebastiano, KAWAHIGASHI Yasuyuki, LONGO Roberto
Commun Math Phys   322(1) 149-166   Aug 2013   [Refereed]
Given a conformal QFT local net of von Neumann algebras B2 on the two-dimensional Minkowski spacetime with irreducible subnet A ? A}, where A is a completely rational net on the left/right light-ray, we show how to consistently add a boundary to B...
Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
Letters in Mathematical Physics   92 99-108   May 2010   [Refereed]
We consider the smallest values taken by the Jones index for an inclusion of local conformal nets of von Neumann algebras on S1 and show that these values are quite more restricted than for an arbitrary inclusion of factors. Below 4, the only non-...
CARPI Sebastiano, HILLIER Robin, KAWAHIGASHI Yasuyuki, LONGO Roberto
Commun Math Phys   295(1) 71-97   Apr 2010   [Refereed]
We construct infinite dimensional spectral triples associated with representations of the super-Virasoro algebra. In particular the irreducible, unitary positive energy representation of the Ramond algebra with central charge c and minimal lowest ...
KAWAHIGASHI Yasuyuki
J Math Phys   51(1) 15209   Jan 2010   [Refereed]
We survey operator algebraic approach to (super)conformal field theory. We discuss representation theory, classification results, full and boundary conformal field theories, relations to supervertex operator algebras and Moonshine, connections to ...
Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
Annales Henri Poincare   8 1069-1121   Oct 2008   [Refereed]
We study the general structure of Fermi conformal nets of von Neumann algebras on S 1 and consider a class of topological representations, the general representations, that we characterize as Neveu-Schwarz or Ramond representations, in particular ...
Yasuyuki Kawahigashi, Roberto Longo, Ulrich Pennig, Karl Henning Rehren
Communications in Mathematical Physics   271 375-385   Apr 2007   [Refereed]
All non-local but relatively local irreducible extensions of Virasoro chiral CFTs with c < 1 are classified. The classification, which is a prerequisite for the classification of local c < 1 boundary CFTs on a two-dimensional half-space, turns out...
Yasuyuki Kawahigashi, Roberto Longo
Advances in Mathematics   206 729-751   Nov 2006   [Refereed]
We apply an idea of framed vertex operator algebras to a construction of local conformal nets of (injective type III1) factors on the circle corresponding to various lattice vertex operator algebras and their twisted orbifolds. In particular, we g...
Yasuyuki Kawahigashi, Nobuya Sato, Michihisa Wakui
Advances in Mathematics   195, 165-204 165-204   Aug 2005   [Refereed]
In this paper, we establish the general theory of (2 + 1)-dimensional topological quantum field theory (in short, TQFT) with a Verlinde basis. It is a consequence that we have a Dehn surgery formula for 3-manifold invariants for this kind of TQFT'...
Yasuyuki Kawahigashi, Roberto Longo
Communications in Mathematical Physics   257, 193-225 193-225   May 2005   [Refereed]
We consider an intrinsic entropy associated with a local conformal net [InlineMediaObject not available: see fulltext.] by the coefficients in the expansion of the logarithm of the trace of the "heat kernel" semigroup. In analogy with Weyl theorem...
Yasuyuki Kawahigashi, Roberto Longo
Annals of Mathematics   160 493-522   Sep 2004   [Refereed]
We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge c less than 1. The irreducible ones are in bijective correspondence with the pairs of A-D2n-E 6,8 Dynkin diagrams such that the di...
Yasuyuki Kawahigashi, Roberto Longo
Communications in Mathematical Physics   244 63-97   Jan 2004
We classify two-dimensional local conformal nets with parity symmetry and central charge less than 1, up to isomorphism. The maximal ones are in a bijective correspondence with the pairs of A-D-E Dynkin diagrams with the difference of their Coxete...
Yasuyuki Kawahigashi
Acta Mathematica Sinica, English Series   19, 557-566. 557-566   Dec 2003
We survey a recent progress on algebraic quantum field theory in connection with subfactor theory. We mainly concentrate on one-dimensional conformal quantum field theory. ? Springer-Verlag 2003.
Yasuyuki Kawahigashi
Communications in Mathematical Physics   226 269-287   Mar 2002
We study the recent construction of subfactors by Rehren which generalizes the Longo-Rehren subfactors. We prove that if we apply this construction to a non-degenerately braided subfactor N ⊂ M and α±-induction, then the resulting subfactor is dua...
Yasuyuki Kawahigashi, Roberto Longo, Michael M?ger, Michael M?ger
Communications in Mathematical Physics   219,631-669 631-669   Jun 2001   [Refereed]
We describe the structure of the inclusions of factors A(E) ⊂ A(E′)′ associated with multi-intervals E ⊂ ? for a local irreducible net A of von Neumann algebras on the real line satisfying the split property and Haag duality. In particular, if the...
Jens B?ckenhauer, David E. Evans, Yasuyuki Kawahigashi
Communications in Mathematical Physics   210,733-784 733-784   Apr 2000   [Refereed]
In this paper we further analyze modular invariants for subfactors, in particular the structure of the chiral induced systems of M-M morphisms. The relative braiding between the chiral systems restricts to a proper braiding on their "ambichiral" i...
Jens B?ckenhauer, David E. Evans, Yasuyuki Kawahigashi
Communications in Mathematical Physics   208 429-487   Dec 1999   [Refereed]
We consider a type III subfactor N ⊂ M of finite index with a finite system of braided N-N morphisms which includes the irreducible constituents of the dual canonical endomorphism. We apply α-induction and, developing further some ideas of Ocneanu...
Yasuyuki Kawahigashi
Journal of Functional Analysis   167,481-497 481-497   Oct 1999   [Refereed]
Ocneanu has obtained a certain type of quantized Galois correspondence for the Jones subfactors of type An and his arguments are quite general. By making use of them in a more general context, we define a notion of a subequivalent paragroup and es...
David E. Evans, Yasuyuki Kawahigashi
Communications in Mathematical Physics   196 331-361   Dec 1998
A. Ocneanu has observed that a mysterious orbifold phenomenon occurs in the system of the M∞-M∞ bimodules of the asymptotic inclusion, a subfactor analogue of the quantum double, of the Jones subfactor of type A2n+1. We show that this is a general...
Yasuyuki Kawahigashi
Mathematische Annalen   308 425-438   Jul 1997
Y. Kawahigashi
Journal of Functional Analysis   127,63-107 63-107   Jan 1995   [Refereed]
We will give a proof of Ocneanu′s announced classification of subfactors of the AFD type II1 factor with the principal graphs An, Dn, E7, the Dynkin diagrams, and give a single explicit of exp π √ -1/24 and exp π √-1/60 for each of E6 and E8 such ...
Yasuyuki Kawahigashi
Publications of the Research Institute for Mathematical Sciences   31 481-517   Jan 1995   [Refereed]
We define “a crossed product by a paragroup action on a subfactor” as a certain commuting square of type II factors and give their complete classification in a strongly amenable case (in the sense of S. Popa) in terms of a new combinatorial object...
Yasuyuki Kawahigashi
International Mathematics Research Notices   1995 129-140   Jan 1995   [Refereed]
David E. Evans, Yasuyuki Kawahigashi
Communications in Mathematical Physics   165 445-484   Oct 1994
We apply the notion of orbifold models of SU(N) solvable lattice models to the Hecke algebra subfactors of Wenzl and get a new series of subfactors. In order to distinguish our subfactors from those of Wenzl, we compute the principal graphs for bo...
M. Izumi, Y. Kawahigashi
Journal of Functional Analysis   112 257-286   Mar 1993   [Refereed]
We show that the number of the conjugacy classes of the AFD type II1 subfactors with the principal graph D1n is n - 2. This gives the last missing number in the complete classfication list of subfactors with index 4 by S. Popa. This also disproves...
Yasuyuki Kawahigashi
Duke Mathematical Journal   71 93-118   Jan 1993   [Refereed]
Y. Kawahigashi, C. E. Sutherland, M. Takesaki
Acta Mathematica   169 105-130   Dec 1992   [Refereed]
Yasuyuki Kawahigashi, Masamichi Takesaki
Journal of Functional Analysis   105 112-128   Jan 1992   [Refereed]
We classify compact abelian group actions on injective type III factors up to conjugacy, which completes the final step of classification of compact abelian group actions on injective factors. ? 1992.
Yasuyuki Kawahigashi
Pacific Journal of Mathematics   149 303-317   Jan 1991   [Refereed]
We study 1-cohomology of discrete group actions on factors of type II1 Characterizations of Kazhdan’s property T and amenability for discrete groups in terms of cocycles and coboundaries are given, and we show that each of SL(n, Z), n ? 3, and Sp(...

Misc

 
Yasnyuki Kawahigashi
Journal of Mathematical Sciences (Japan)   22    Jan 2015
Yasuyuki Kawahigashi, David Pérez García, Mary Beth Ruskai
Journal of Mathematical Physics   57    Jan 2016
河東泰之
数理科学   51(10) 5-6   Oct 2013
河東泰之
数理科学   45(7) 5-10   Jul 2007
河東泰之
数理科学   46(6) 39-43   Jun 2008
河東泰之
数理科学   44(4) 44-49   Apr 2006
Yasuyuki Kawahigashi
XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003   476-485   Jan 2006
? 2005 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.We formulate conformal field theory in the setting of algebraic quantum field theory as Haag-Kastler nets of local observable algebras with diffeomorphism covariance on the tw...
河東泰之
数理科学   42(4) 5-11   Apr 2004
河東泰之
数理科学   42(9) 14-20   Sep 2004
河東泰之
数理科学   34(8) 54-61   Aug 1996
Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras
Mathematica Scandinavica   64, 285-299    1989
One-parameter automorphism groups of the hyper finite type II1 factor
Journal of Operator Theory   25,37-59    1991
One-parameter automorphism groups of the injective II1 factor arising from the irational rotation C*-algebra
American Journal of Mathematics   112, 499-524    1990
One-parameter automorphism groups of the injective II1 factor with Connes spectrum zero
Canadian Journal of Mathematics   43, 108-118    1991
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions(共著)
Acta Mathematica   169,105-130    1992
Cohomology of actions of discrete groups on factors of type II1
Pacific Journal of Mathematics   149, 303-317    1991
Compact abelian group actions on injective factors(共著)
Journal of Functional Analysis   105, 112-128    1992
Automorphisms commuting with a conditional expectation onto a subfactor with finite index
Journal of Operator Theory   28,127-145    1992
Group actions on injective factors
Current topics in Operator Algebras   2-12    1991
Classification of subfactors with the principal graph D(n)1(共著)
Journal of Functional Analysis   112,257-286    1993
Exactly solvable orbifold models and subfactors
Functional Analysis and Related Topics   127-147 
Communications in Mathemation Physics   165,445-484    1994
Centrally trivial automorphisms and an analogue of Connes's chi(M) for subfactors
Duke Mathematical Journal   71,93-118    1993
From subfactors to 3-dimensional topological quantum field theories and back-a detailed account of Ocneanu's theory-
International Journal of Mathematics   6,537-558    1995
Subfactors and conformal field theory
Quantum and non-commutative analysis   341-369    1993
The E7 commuting squares produce D10 as principal graph (共著)
Publications of RIMS, Kyoto University   30,151-166    1994
Classification of paragroup actions on subfactors
Publications of RIMS, Kyoto Univ.   31,481-517    1995
Paragroups and their actions on subfactors
"Subfactors"   64-84    1994
Paragroups as quantized Galois groups of subfactors
Sugaku Expositions   9,21-35    1996
On Ocneanu's theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles (共著)
International Journal of Mathematics   6,205-228    1995
Orbifold subfactors, central sequences, and the relative Jones invariant kappa
International Mathematical Research Notices   129-140    1995
Clussitication of approximately inner automorphisms of subfactors
Mathematische Annalen   308,425-438    1997
Communications in Mathematical Physics   196,331-361    1998
Quantum doubles and orbifold subfactors
Operator algebras and quantum field theory   271-283    1997
Subfactors and Paragroup theory
Contemporary Mathematics   228,179-188    1998
On alpha-induction, chiral generators and modular invariants for subfactors
Communications in Mathematical Physics   208,429-487    1999
Longo-Rehren subfactors arising from alpha-induction
Publications of RIMS, Kyoto University   37,1-35    2001
Braiding and nets of factors on the circle
Operator Algebras and Applications   219-228    2004
Braiding and extensions of endomorphisms of subfactors
Mathematical Physics in Mathematics and Physics   261-269    2001
Communications in Mathematical Physics   226, 269-287    2002
Classification of local conformal nets: Case c < 1
Annals of Mathematics   160, 493-522    2004
Classification of operator algebraic conformal field theories
Advances in Quantum Dynamics   183-193    2003
Topological quantum field theories and operator algebras
Quantum Field Theory and Noncommutative Geometry   241-253    2005

Books etc

 
Quantum Symmetries on operator algebras
Oxford University Press   1998   

Conference Activities & Talks

 
The relative Drinfeld commutants and the relative Verlinde formula [Invited]
KAWAHIGASHI Yasuyuki
Fusion Categories and Subfactors (Banff)   Oct 2018   
Topological phases of matter, modular tensor categories and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Quantum Computing Materials Challenges (UCLA)   Aug 2018   
Conformal field theory, vertex operator algebras and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
ICM 2018 (Rio de Janeiro)   Aug 2018   
Conformal field theory, operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
XXXVII Workshop on Geometric Methods in Physics (Białowieża)   Jul 2018   
The relative Drinfeld commutant of a fusion category, orbifold subfactrors and alpha-induction [Invited]
KAWAHIGASHI Yasuyuki
18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications (Będlewo)   Jul 2018   
The relative Drinfeld commutant of a fusion category, orbifold subfactors and alpha-induction [Invited]
KAWAHIGASHI Yasuyuki
AQFT: Where Operator Algebra Meets Microlocal Analysis (Cortona)   Jun 2018   
Algebraic quantum field theory and subfactors [Invited]
KAWAHIGASHI Yasuyuki
The 14th Korean Operator Algebras Seminar (Pusan)   Jun 2018   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Noncommutative Geometry and Representation Theory (Chengdu)   May 2018   
Operator algebras and vertex operator algebras in conformal field theo [Invited]
KAWAHIGASHI Yasuyuki
10th CFT Seminar: A Conference on Vertex Algebras and Related Topics (Kyoto)   Apr 2018   
Conformal field theory, vertex operator algebras and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Operator Algebras at UCLA: A celebration of Masamichi Takesaki (UCLA)   Apr 2018   
Moonshine, conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
East Asian Core Doctoral Forum on Mathematics 2018 (Beijing)   Jan 2018   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Reflection Positivity (Oberwolfach)   Nov 2017   
The relative Drinfeld commutant of a fusion category and alpha-induction [Invited]
KAWAHIGASHI Yasuyuki
Sep 2017   
Conformal field theory, operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Advances in Mathematics and Theoretical Physics (Rome)   Sep 2017   
The relative Drinfeld commutant and alpha-induction [Invited]
KAWAHIGASHI Yasuyuki
Subfactors, K-theory and conformal field theory (Cambridge)   Jun 2017   
Subfactors, tensor categories and conformal field theory [Invited]
KAWAHIGASHI Yasuyuki
Primer on subfactors and applications (Cambridge)   Jan 2017   
Topological phases and subfactors [Invited]
KAWAHIGASHI Yasuyuki
Subfactors and Mathematical Physics (Sanya)   Dec 2016   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Statistics, Quantum Information and Gravity (IPMU)   Sep 2016   
Subfactors, conformal field theory and modular tensor categories [Invited]
KAWAHIGASHI Yasuyuki
Modular Categories--Their Representations, Classification, and Applications (Oaxaca)   Aug 2016   
Relative tensor products of heterotic full conformal field theories [Invited]
KAWAHIGASHI Yasuyuki
Recent Mathematical Developments in Quantum Field Theory (Oberwolfach)   Jul 2016   
A relative tensor product of subfactors over a modular tensor category [Invited]
KAWAHIGASHI Yasuyuki
Operator Algebras and Quantum Field Theory (Frascati)   Jun 2016   
Subfactors and gapped domain walls between topological phases [Invited]
KAWAHIGASHI Yasuyuki
Noncommutative Geometry and Operator Algebras Spring Institute 2016 (Bonn)   May 2016   
From vertex operator algebras to operator algebras and back [Invited]
KAWAHIGASHI Yasuyuki
Lie Algebras, Vertex Operator Algebras, and Related Topics (Notre Dame)   Aug 2015   
From vertex operator algebras to local conformal nets and back [Invited]
KAWAHIGASHI Yasuyuki
International Conference on Subfactor Theory in Mathematics and Physics (Qinhuangdao)   Jul 2015   
Boundary conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
RIKKYO MathPhys 2015 --- Gauge Theory, CFT and Integrability --- (Tokyo)   Jan 2015   
Boundary conformal field theory and subfactors [Invited]
KAWAHIGASHI Yasuyuki
4th Conference of Settat on Operator Algebras and Applications (Marrakech)   Jan 2015   
Full and boundary conformal field theories and subfactors [Invited]
KAWAHIGASHI Yasuyuki
Operator and Geometric Analysis on Quantum Theory (Levico Terme)   Sep 2014   
Boundary conformal field theory and subfactors [Invited]
KAWAHIGASHI Yasuyuki
ICM Satellite Conference on Operator Algebras and Applications (Cheongpung)   Aug 2014   
Boundary conformal field theory and subfactors [Invited]
KAWAHIGASHI Yasuyuki
The 25th International Conference on Operator Theory (Timisoara)   Jul 2014   
Subfactors, tensor categories and boundary conformal field theory [Invited]
KAWAHIGASHI Yasuyuki
16th Workshop: Non-commutative harmonic analysis: Random Matrices, representation theory and free probability, with applications (Będlewo)   Jul 2014   
Subfactos and phase boundaries in conformal field theory [Invited]
KAWAHIGASHI Yasuyuki
Subfactor Theory in Mathematics and Physics (Maui)   Jul 2014   
Full and boundary conformal field theory from operator algebras [Invited]
KAWAHIGASHI Yasuyuki
NCGOA Spring Institute 2014: Subfactors, CFT, and VOA (Nashville)   Jun 2014   
Full conformal field theories, tensor categories and subfactors [Invited]
KAWAHIGASHI Yasuyuki
Subfactors and Fusion Categories (Banff)   Apr 2014   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
JSPS-DST Asian Academic Seminar 2013 "Discrete Mathematics & its Applications" (Tokyo)   Nov 2013   
Boundary conformal field theory, operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Majorana Theory, the Monster and Beyond (London)   Sep 2013   
Conformal field theory, operator algebras and tensor categories [Invited]
KAWAHIGASHI Yasuyuki
Mathematics and Quantum Physics (Rome)   Jul 2013   
Local conformal nets with trivial representation theory [Invited]
KAWAHIGASHI Yasuyuki
Subfactors in Maui (Maui)   Jul 2013   
Operator algebras and conformal field theory [Invited]
KAWAHIGASHI Yasuyuki
Mathematical Statisitical Physics (Kyoto)   Jul 2013   
Superconformal field theory, boundary conformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
China-Japan Conference on Noncommutative Geometry and K-Theory (Changchun)   Jun 2013   
Trivial representation theory in conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society (Alba Iulia)   Jun 2013   
Framed local conformal nets [Invited]
KAWAHIGASHI Yasuyuki
Essays in Low Dimensional Quantum Field Theory (Rome)   Oct 2012   
Operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Conference on Groups, VOAs and Related Structures in Honor of Masahiko Miyamoto (Tsukuba)   Sep 2012   
Superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
The 24th International Conference on Operator Theory (Timisoara)   Jul 2012   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
XXth Oporto Meeting on Geometry, Topology and Physics (Oporto)   Jul 2012   
Superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
The Tenth Spring Institute on Noncommutative Geometry and Operator Algebras (Nashville)   May 2012   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Noncommutative Geometry (Cardiff)   Apr 2012   
Symmetries in conformal field theory, operator algebras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Todai Forum 2011 -- Geometry and Dynamics (Lyon)   Nov 2011   
Superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Operator Algebras & Quantum Groups (Warsaw)   Sep 2011   
N=2 superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
14th Workshop: Non-commutative harmonic analysis (Będlewo)   Sep 2011   
N=2 superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
NITheP Workshop 2011 "Constructive and Perturbative Aspects of Quantum Field Theory" (Durban)   Aug 2011   
N=2 superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Conformal field theories and tensor categories (Beijing)   Jun 2011   
Conformal field theory, von Neumann alegbras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
The Special Week on Operator Algebras (Shanghai)   Jun 2011   
N=2 superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
II_1 factors: rigidity, symmetries and classification (Paris)   May 2011   
N=2 superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
EU-NCG 4th Annual Meeting (Bucharest)   Apr 2011   
Superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
NCTS (Taiwan)-CPT(France) Joint Workshop on Symplectic Geometry and Quantum Symmetries in Mathematical Physics (Hsinchu)   Feb 2011   
Superconformal field theory, operator algebras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Geometry and Physics VIII (Scalea)   Sep 2010   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Seminal Interactions between Mathematics and Physics (Rome)   Sep 2010   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
ICM Satellite Conference on Operator Algebras (Chenna)   Aug 2010   
N=2 superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
13th Workshop: Non-commutative harmonic analysis (Będlewo)   Jul 2010   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
The 23rd International Conference on Operator Theory (Timisoara)   Jun 2010   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
The Eighth Spring Institute on Noncommutative Geometry and Operator Algebras (Nashville)   May 2010   
Superconformal field theory, operator algebras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Jan 2010   
Superconformal field theory, operator algebras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Special Session of Operator Theory and Operator Algebras, Joint Meeting of KMS-AMS (Seoul)   Dec 2009   
Superconformal field theory and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Nov 2009   
Superconformal field theory, operator algebras and noncommutative geometry [Invited]
KAWAHIGASHI Yasuyuki
Mathematical Quantum Field Theory and Renormalization Theory (Fukuoka)   Nov 2009   
Subfactors and representation theory for von Neumann algebras [Invited]
KAWAHIGASHI Yasuyuki
12th Workshop: Non-commutative harmonic analysis (Będlewo)   Aug 2009   
Superconformal field theory, Moonshine and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
12th Workshop: Non-commutative harmonic analysis (Będlewo)   Aug 2009   
Quantum field theory and operator algebra [Invited]
KAWAHIGASHI Yasuyuki
5th Asian Mathematical Conference (Kuala Lumpur)   Jun 2009   
Moonshine, pariah groups and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Von Neumann Algebras and Ergodic Theory of Group Actions (Oberwolfach)   Oct 2008   
Super moonshine and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
C*-Algebras (Oberwolfach)   Aug 2008   
Super moonshine and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
The 22nd International Conference on Operator Theory (Timisoara)   Jul 2008   
Superconformal field theory, super moonshine and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Shanks Workshop on Subfactors and Planar Algebras (Nashville)   Apr 2008   
Super moonshine and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Topics in von Neumann algebras (Banff)   Mar 2008   
Supersymmetry in operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Oct 2007   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Workshop on von Neumann algebras (Toronto)   Oct 2007   
Supersymmetry in operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Sep 2007   
Classification of superconformal nets of factors [Invited]
KAWAHIGASHI Yasuyuki
Conference on Free Probability/Operator Spaces/von Neumann algebras (Sibiu)   Jun 2007   
Superconformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Operator Algebras and Related Fields (Honolulu)   Jan 2007   
Operator algebraic approach to boundary CFT and classification results [Invited]
KAWAHIGASHI Yasuyuki
Dec 2006   
Superconformal nets of factors and their classification [Invited]
KAWAHIGASHI Yasuyuki
Recent advances in operator algebras (Rome)   Nov 2006   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
MSJ-IHES Joint Workshop on Noncommutativity (Paris)   Nov 2006   
Superconformal nets of factors and their classification [Invited]
KAWAHIGASHI Yasuyuki
Topics in von Neumann algebras (Banff)   Sep 2006   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
International Congress on Mathematical Physics - ICMP 2006 (Rio de Janeiro)   Aug 2006   
Boundary conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
The 21st International Conference on Operator Theory (Timisoara)   Jul 2006   
Operator algebras and conformal field theory
KAWAHIGASHI Yasuyuki
The XVth International Colloquium on Integrable Systems and Quantum Symmetries (Prague)   Jun 2006   
Local conformal nets and their representation theory [Invited]
KAWAHIGASHI Yasuyuki
Infinite Dimensional Lie Algebras and Local von Neumann Algebras in CFT (Banff)   May 2006   
Conformal field theory and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Generalized McKay correspondences and representation theory (Berkeley)   Mar 2006   
Operator algebras and Moonshine [Invited]
KAWAHIGASHI Yasuyuki
International Conference on Operator Algebras and their connections to Mathematical Physics (Settat)   Nov 2005   
Operator algebras and conformal field theory [Invited]
KAWAHIGASHI Yasuyuki
Sep 2005   
Classification of conformal field theories with operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Asian Mathematical Conference 2005 (Singapore)   Jul 2005   
Conformal nets of operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Summer School "Vertex Algebras and Related Topics" (Vienna)   Jun 2005   
Classification of extensions in algebraic quantum field theory and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Third Spring Institute on Noncommutative Geometry and Operator Algebras (Nashville)   May 2005   
Extensions of operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Symposium honoring the memory of Gert K. Pedersen (Copenhagen)   Apr 2005   
Vertex operator algebras and operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Topics in Operator Algebras (Rome)   Mar 2005   
Operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Perspectives arising from vertex algebra theory (Osaka)   Nov 2004   
Operator algebras and vertex operator algebras [Invited]
KAWAHIGASHI Yasuyuki
Quantum Groups (Haifa)   Jul 2004   
Operator algebras and vertex operator algebras in quantum field theory [Invited]
KAWAHIGASHI Yasuyuki
Tensor Categories in Mathematics and Physics (Vienna)   Jun 2004   
Classification of 2-dimensional conformal field theories [Invited]
KAWAHIGASHI Yasuyuki
Mini-Workshop on Operator Algebras and Quantum Physics (Rome)   Mar 2004   
Classification of operator algebraic conformal field theories
KAWAHIGASHI Yasuyuki
Sep 2003   
Classification of 2-dimensional conformal field theories and 2-cohomology vanishing for tensor categories [Invited]
KAWAHIGASHI Yasuyuki
Operator Algebras and Mathematical Physics (Sinaia)   Jul 2003   

Research Grants & Projects

 
JSPS: Kakenhi
Project Year: Apr 2015 - Mar 2019    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2015 - Mar 2017    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2011 - Mar 2016    Investigator(s): KAWAHIGASHI Yasuyuki
Integrated Studies of Operator Algebras
Mitsubishi Foundation: 
Project Year: Sep 2011 - Aug 2012    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2007 - Mar 2011    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2007 - Mar 2009    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2004 - Mar 2007    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2004 - Mar 2006    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2003 - Mar 2004    Investigator(s): KAWAHIGASHI Yasuyuki
JSPS: Kakenhi
Project Year: Apr 2001 - Mar 2004    Investigator(s): KAWAHIGASHI Yasuyuki