Extra Form
강연자 오용근
소속 IBS, 포항공과대학교
date 2014-12-04

Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields.

We survey how the techniques of pseudoholomorphic curves have evolved from the construction of numerical invariants of Gromov-Witten invariants, via the homological invariant of Floer homology and to its categorification of Fukaya category as the basic homological algebra of symplectic algebraic topology.

If time permits, we will also mention a few applications of the machinery to problems of symplectic topology.

첨부 '1'
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  2. Nonlocal generators of jump type Markov processes

  3. Regularity of solutions of Hamilton-Jacobi equation on a domain

  4. What is Weak KAM Theory?

  5. 정년퇴임 기념강연: 회고

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

  7. The classification of fusion categories and operator algebras

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

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

  10. On the distributions of partition ranks and cranks

  11. Q-curvature in conformal geometry

  12. Zeros of the derivatives of the Riemann zeta function

  13. Geometry, algebra and computation in moduli theory

  14. 09Dec
    by 김수현
    in 수학강연회

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

  15. High dimensional nonlinear dynamics

  16. What is model theory?

  17. Essential dimension of simple algebras

  18. Restriction theorems for real and complex curves

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

  20. Deformation spaces of Kleinian groups and beyond

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