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강연자 Masaki Kashiwara
소속 Kyoto University/서울대학교
date 2012-05-17

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.

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첨부 '1'
  1. An introduction to hyperplane arrangements

  2. Analysis and computations of stochastic optimal control problems for stochastic PDEs

  3. Analytic torsion and mirror symmetry

  4. Anomalous diffusions and fractional order differential equations

  5. Arithmetic of elliptic curves

  6. Averaging formula for Nielsen numbers

  7. Birational Geometry of varieties with effective anti-canonical divisors

  8. Brownian motion and energy minimizing measure in negative curvature

  9. Brownian motion with darning and conformal mappings

  10. 07Nov
    by Editor
    in 수학강연회

    Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

  11. Categorification of Donaldson-Thomas invariants

  12. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

  13. Circular maximal functions on the Heisenberg group

  14. Class field theory for 3-dimensional foliated dynamical systems

  15. Classical and Quantum Probability Theory

  16. Cloaking via Change of Variables

  17. Codimension Three Conjecture

  18. Combinatorial Laplacians on Acyclic Complexes

  19. Compressible viscous Navier-Stokes flows: Corner singularity, regularity

  20. Conformal field theory and noncommutative geometry

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