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Extra Form
Lecturer Jens Hoppe
Dept. 서강대학교
date Apr 03, 2014

Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one can define discrete curvature, and a noncommutative Gauss-Bonnet theorem. After giving a general introduction to the Poisson-algebraic reformulation for surfaces, as well as explaining a method to associate sequences of finite dimensional matrices to them, I will focus on concrete examples, including noncommutative analogues of minimal surfaces (that play a central role in one of the more promising attempts to unify the known physical interactions)


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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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