| 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.
Codimension Three Conjecture
Cloaking via Change of Variables
Classification of simple amenable operator algebras
Classical and Quantum Probability Theory
Class field theory for 3-dimensional foliated dynamical systems
Circular maximal functions on the Heisenberg group
Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds
Categorification of Donaldson-Thomas invariants
Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras
Brownian motion with darning and conformal mappings
Brownian motion and energy minimizing measure in negative curvature
Birational Geometry of varieties with effective anti-canonical divisors
Averaging formula for Nielsen numbers
Arithmetic of elliptic curves
Anomalous diffusions and fractional order differential equations
Analytic torsion and mirror symmetry
Analysis and computations of stochastic optimal control problems for stochastic PDEs
An introduction to hyperplane arrangements
An equivalent condition to Bohr's for Dirichlet series
Alice and Bob meet Banach and von Neumann
