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Extra Form
Lecturer 국웅
Dept. 서울대학교
date Oct 10, 2013
The main topic of the talk is a determinantal formula for high dimensional tree numbers of acyclic complexes via combinatorial Laplace operators . This result is a generalization of Temperley's tree number formula for graphs, motivated by a simple (but not well-known) observation that Temperley's method uses combinatorial Laplacian  in dimension zero. The talk will begin with a brief survey of properties and applications of including network theory and topological data analysis. Towards the end, we will discuss a logarithmic version of the main formula of the talk and demonstrate intriguing applications of its generating function to various complexes that arise naturally in combinatorics.
Atachment
Attachment '1'
  1. Regularity of solutions of Hamilton-Jacobi equation on a domain

  2. What is Weak KAM Theory?

  3. 정년퇴임 기념강연: 회고

  4. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

  5. The classification of fusion categories and operator algebras

  6. Green’s function for initial-boundary value problem

  7. Mechanization of proof: from 4-Color theorem to compiler verification

  8. On the distributions of partition ranks and cranks

  9. Q-curvature in conformal geometry

  10. Zeros of the derivatives of the Riemann zeta function

  11. Geometry, algebra and computation in moduli theory

  12. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

  13. High dimensional nonlinear dynamics

  14. What is model theory?

  15. Essential dimension of simple algebras

  16. Restriction theorems for real and complex curves

  17. Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

  18. Deformation spaces of Kleinian groups and beyond

  19. Idempotents and topologies

  20. Recent progress on the Brascamp-Lieb inequality and applications

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