| Lecturer | Masaki Kashiwara |
|---|---|
| Dept. | Kyoto University/서울대학교 |
| date | May 17, 2012 |
Representation theory is to study the actions of groups or algebras on vector spaces. Recently, its categorical version, categorical representation theory, attracts researchers in representation theory. In this theory we replace "vector space" with additive categories. Khovanov-Lauda-Rouquier algebras, or quiver Hecke algebras are introduced for the categorification of quantum algebras. We will give a survey of recent developements in the categorical representation theory.
An introduction to hyperplane arrangements
Analysis and computations of stochastic optimal control problems for stochastic PDEs
Analytic torsion and mirror symmetry
Anomalous diffusions and fractional order differential equations
Arithmetic of elliptic curves
Averaging formula for Nielsen numbers
Birational Geometry of varieties with effective anti-canonical divisors
Brownian motion and energy minimizing measure in negative curvature
Brownian motion with darning and conformal mappings
Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras
Categorification of Donaldson-Thomas invariants
Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds
Circular maximal functions on the Heisenberg group
Class field theory for 3-dimensional foliated dynamical systems
Classical and Quantum Probability Theory
Cloaking via Change of Variables
Codimension Three Conjecture
Combinatorial Laplacians on Acyclic Complexes
Compressible viscous Navier-Stokes flows: Corner singularity, regularity
Conformal field theory and noncommutative geometry
