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Extra Form
Lecturer Ken-ichi Yoshikawa
Dept. Kyoto University
date Nov 14, 2013

In the early 90's, physicists Bershadsky-Cecotti-Ooguri-Vafa conjectured that the analytic torsion was the counterpart in complex geometry of the counting problem of elliptic curves in Calabi-Yau threefolds. It seems that this conjecture is not as well known as the usual mirror symmetry conjecture on the counting of rational curves. In this talk, I will explain the BCOV conjecture and some of its expected consequences. If time permits, I will also explain the construction of an analytic torsion for Calabi-Yau orbifolds and an explicit formula as a function on the moduli space.

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  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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