Toshiro Kuwabara

J-GLOBAL         Last updated: Jun 15, 2016 at 14:44
 
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Name
Toshiro Kuwabara
Affiliation
University of Tsukuba
Section
Graduate School of Pure and Applied Sciences
Job title
Associate/Assistant Professor (Dotsent)
Degree
Ph. D (Science)(Kyoto Univ.)

Academic & Professional Experience

 
Apr 2014
 - 
Oct 2015
Research Fellow, International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics
 
Nov 2011
 - 
Oct 2015
Associate/Assistant Professor (Dotsent), Higher School of Economics
 
Feb 2011
 - 
May 2011
Guest, Max-Planck Institute for Mathematics
 
Oct 2010
 - 
Oct 2011
Posdoctoral Fellow, Seoul National University
 
Apr 2010
 - 
Sep 2010
Research Fellow (GCOE), Kyoto University
 

Published Papers

 
Toshiro Kuwabara
Transformation Groups   20(2) 437-461   2015   [Refereed]
We study algebras constructed by quantum Hamiltonian reduction associated with symplectic quotients of symplectic vector spaces, including deformed preprojective algebras, symplectic reflection algebras (rational Cherednik algebras), and quantizat...
Gwyn Bellamy and Toshiro Kuwabara
Pacific Journal of Mathematics   260(1) 89-127   Sep 2012   [Refereed]
Based on a construction by Kashiwara and Rouquier, we present an ana- logue of the Beilinson–Bernstein localization theorem for hypertoric vari- eties. In this case, sheaves of differential operators are replaced by sheaves of W-algebras. As a spe...
Toshiro Kuwabara
Publ. RIMS   49(1) 87-110   2013   [Refereed]
Based on the methods developed in [Kashiwara-Rouquier], we consider
microlocalization of the rational Cherednik algebra of type Tex. Our goal
is to construct the irreducible modules and standard modules of the rational
Cherednik algebra by us...
T. Arakawa, T. Kuwabara and F. Malikov
Comm. Math. Phys.   335(1) 143-182   Apr 2015   [Refereed]
We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the intersection of the Slodowy slice with the nilpotent cone. We compu...
Characteristic cycles of standard modules for the rational Cherednik algebra of type Tex
Kuwabara, Toshiro
J. Math. Kyoto Univ.   48(no. 1) 167-217   2008   [Refereed]

Misc

 
Deformation quantization and localization of noncommutative algebras and vertex algebras
Toshiro Kuwabara
59    2014   [Invited]

Conference Activities & Talks

 
Constructing subregular W-algebras with microlocal differential operators
Toshiro Kuwabara
Workshop on Finite Groups, VOA, and algebraic combinatorics   22 Mar 2016   
Using chiral analogue of microlocal differential operators, we construct vertex algebras associated with some symplectic manifolds. Such a construction includes a new construction of the affine W-algebra of subregular type A. Moreover, from the co...
Toshiro Kuwabara
Perspectives from vertex algebras   21 Jul 2015   
In this talk, we discuss sheaves of (h-adic) vertex algebras on symplectic manifolds, which give quantization of vertex Poisson algebras of their Jet bundles. On each formal coordinate, these sheaves are isomorphic to the vertex algebra of a forma...
BRST cohomologies for rational Cherednik algebras [Invited]
Toshiro Kuwabara
RIMS Project 2014 Geometric Representation Theory   28 Jul 2014   
BRST cohomologies for rational Cherednik algebras [Invited]
Toshiro Kuwabara
Shanghai Workshop on Representation Theory 2013   5 Dec 2013   East China Normal University; Tongji University; Osaka University
Quantization of Kleinian singularities can be realized as two different quantum Hamilto- nian reductions. They are known as rational Cherednik algebras (symplectic reflection algebras) and finite W-algebras. Losev showed that these two quantizatio...
Toshiro Kuwabara
Infinite Analysis: Past, Present and Future   6 Mar 2013   
On microlocalization of the rational Cherednik algebras [Invited]
Toshiro Kuwabara
Seminar on Algebra and Representation theory   Aug 2012   Stephen Griffeth (Univ. of Talca, Chile)
Toshiro Kuwabara
Workshop “Integrable Systems, Random Matrices, Algebraic Geometry and Geometric Invariants”   21 Feb 2012   
The affine W -algebras are vertex algebras which generalize the Virasoro algebra and are constructed by Drinfeld-Sokolov reduction of affine vertex algebras. We construct a sheaf of vertex algebras on the arc space (the infinite-Jet sheme) of the ...
Localization of affine W-algebras at critical level
Toshiro Kuwabara
Japan Mathematical Society Conference   28 Sep 2011   Japan Mathematical Society
Localization of affine W-algebras at critical level
Toshiro Kuwabara
Seminar in Lie Theory of NTU   21 Aug 2011   National Taiwan University
Toshiro Kuwabara
HIM Trimester Program on On the Interaction of Representation Theory with Geometry and Combinatorics   18 Apr 2011   Hausdorff Research Institute for Mathematics
On localization of quantized hypertoric algebras and microlocal analysis
Toshiro Kuwabara
Oberseminar   10 Mar 2011   Max-Planck Institute for Mathematics
Starting from a well-known and easy example of the Beilinson-Bernstein
correspondence for the case of U(sl_2), I will explain how we consider
``localization'' for some noncommutative algebras, which I will call quantized
hypertoric algebras in t...
桑原敏郎
Introduction to Cherednik algebras   13 Jan 2011   Graduate School of Mathematics, Nagoya Univ.
In this talk, I will survey the new scheme for localization of some noncommutative algebras which is first established by Kashiwara and Rouquier. Both the rational Cherednik algebras and the finite W-algebras are algebras constructed as quantizati...
Microlocal Analysis and Representation Theory of the Rational Cherednik Algebras [Invited]
Toshiro Kuwabara
Mini Symposium on Representation Theory   Dec 2010   Prof. Kang, Seok-Jin
Some noncommutative algebras and their representation theory are closely related to
geometry of some important manifolds or varieties, such as flag varieties or quiver
varieties. These connections sometimes imply ``localization'' of the noncommu...
Toshiro Kuwabara
Representation Theory of Algebraic Groups and Quantum Groups '10   Aug 2010   Graduate School of Mathematics, Nagoya University
We will discuss the geometric representation theory for the rational Cherednik algebra of type Z/lZ.
The rational Cherednik algebra of type Z/lZ is defined as a quantization of the Kleinian singularities of type A. This algebra is also called the...
A rational Cherednik algebra as a noncommutative deformation of a quiver variety
Toshiro Kuwabara
Russia-Japan School of Young Mathematicians   Jan 2009   GCOE Program, Math. Dept. and RIMS, Kyoto University
Characteristic cycles of standard modules for the rational Cherednik algebra of type Tex
Toshiro Kuwabara
Workshop on Algebras in Lie theory   Sep 2008   RIMS, Kyoto Univ.
The rational Cherednik algebra as a noncommutative deformation of the quiver variety [Invited]
Toshiro Kuwabara
A workshop on micro-local analysis on symplectic manifolds   Sep 2008   IPMU, University of Tokyo
Symplectic reflection algebras and quiver varieties
Toshiro Kuwabara
Seoul National University and Kyoto University, Workshop for Young Mathematicians   Feb 2006   Math. Dept of Seoul National Univ., Math. Dept. and RIMS of Kyoto Univ.
Symplectic reflection algebras and quiver varieties
Toshiro Kuwabara
Infinite Analysis Seminar, Japan-Russia International Project   Mar 2005   
Symmmetric coinvariant algebras and local Weyl modules at a double point
Toshiro Kuwabara
Quantum Integrable Systems and Infinite Dimensional Algebras   Feb 2004   RIMS, Kyoto Univ.