Extra Form
Lecturer Kenji Fukaya
Dept. Simons Center for Geometry and Physics
date Nov 01, 2018

Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself various other people. A conjecture by Atiyah and Floer is based on this relation. One motivation of introducing A infinity category associated to a Symplectic manifold is to study Atiyah-Floer conjecture and related problems. In this talk, based on a joint work with A. Daemi, I want to explain some of the recent progress in this problem. 

  1. Circular maximal functions on the Heisenberg group

  2. Fixed points of symplectic/Hamiltonian circle actions

  3. A modified separation method to solve a heat-transfer boundary value problem

  4. Arithmetic of elliptic curves

  5. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

  6. Trends to equilibrium in collisional rarefied gas theory

  7. The Lagrange and Markov Spectra of Pythagorean triples

  8. 05Nov
    by 김수현
    in Math Colloquia

    A-infinity functor and topological field theory

  9. Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients

  10. Alice and Bob meet Banach and von Neumann

  11. Congruences between modular forms

  12. W-algebras and related topics

  13. On function field and smooth specialization of a hypersurface in the projective space

  14. <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

  15. 1 is big enough to understand 3

  16. Mathemaics & Hedge Fund

  17. Unique ergodicity for foliations

  18. Conformal field theory in mathematics

  19. <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system

  20. Anomalous diffusions and fractional order differential equations

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