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. Iwasawa main conjecture and p-adic L-functions

  3. Iwahori-Hecke algebras and beyond

  4. It all started with Moser

  5. Irreducible Plane Curve Singularities

  6. Introduction to Non-Positively Curved Groups

  7. Integer partitions, q-series, and Modular forms

  8. Infinite order rationally slice knots

  9. Ill-posedness for incompressible Euler equations at critical regularit

  10. Idempotents and topologies

  11. Hybrid discontinuous Galerkin methods in computational science and engineering

  12. How to solve linear systems in practice

  13. High dimensional nonlinear dynamics

  14. Heavy-tailed large deviations and deep learning's generalization mystery

  15. Harmonic bundles and Toda lattices with opposite sign

  16. Hamiltonian dynamics, Floer theory and symplectic topology

  17. 09Dec
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    Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

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

  19. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  20. Geometry, algebra and computation in moduli theory

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