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Extra Form
Lecturer Kenichi Ohshika
Dept. Osaka University
date Oct 02, 2014

From 1980’s, the study of Kleinian groups has been carried out in the framework of the paradigm of “Thurston’s problems”.
Now they are all solved, and we can tackle deeper problems; for instance to determine the topological types of the deformation spaces or to study what lie outside the deformation spaces.
In this talk, I will survey how Thurston’s problems were solved and then recent progresses in studying the deformation spaces and the “spaces outside the deformation spaces”, including my own work with several collaborators.

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  1. Hybrid discontinuous Galerkin methods in computational science and engineering

  2. The phase retrieval problem

  3. Theory and applications of partial differential equations

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

  5. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

  6. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

  7. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

  8. Quasi-homomorphisms into non-commutative groups

  9. Entropies on covers of compact manifolds

  10. Iwahori-Hecke algebras and beyond

  11. On the resolution of the Gibbs phenomenon

  12. <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

  13. The process of mathematical modelling for complex and stochastic biological systems

  14. Random walks in spaces of negative curvature

  15. Solver friendly finite element methods

  16. Brownian motion and energy minimizing measure in negative curvature

  17. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

  18. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  19. Weyl character formula and Kac-Wakimoto conjecture

  20. Nonlocal generators of jump type Markov processes

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