https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 오용근
Dept. University of Wisconsin
date Nov 26, 2009
In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed string version') extracts some Morse theoretic invariants, so called `spectral invariants' of Hamiltonian flows which in turn leads to Entov-Polterovich's construction of partial symplectic quasi-states which detect intersection property of certain coisotropic objects. We then relate this study to the study of intersection property of Lagrangian fibers of toric manifolds and its Landau-Ginzburg-type potential carried out by Fukaya, Ohta, Ono and myself via Lagrangian Floer theory (`open string version'). If time permits, I will mention some implication of this study on the simpleness question of the area-preserving homeomorphism group of the two-sphere (and of the two-disc) in dynamical systems.
Atachment
Attachment '1'
  1. Topology and number theory

    We will review a number of topological themes in number theory, starting with homology and ending with a discussion arithmetic homotopy.
    CategoryMath Colloquia Dept.Univ. College London/포항공대 Lecturer김민형
    Read More
  2. Conservation laws and differential geometry

    A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold M2 which can be realized as isometric immersions into R3. This problem can be formulated as initial and/or boundary ...
    CategoryMath Colloquia Dept.Univ. of Wisconsin LecturerMarshall Slemrod
    Read More
  3. 학부학생을 위한 강연회: 기하학과 우주론

    우리의 직관에 의하면 우주는 4차원으로 이루어져있다. 달리 말하면 우리가 어떤 사건을 기술 할 때 네 개의 숫자(공간3 + 시간1) 이면 충분하다는 것 이다. 세상에 다른 여분의 차원이 더 있다고 가정 여러 물리 법칙을 통일적으로 기술할 수 있음이 알려졌다...
    CategoryMath Colloquia Dept.홍익대학교 Lecturer이남훈
    Read More
  4. Zeros of linear combinations of zeta functions

    We will introduce the behavior of zeros of linear combinations of zeta functions. Those linear combinations are related to the Riemann zeta function, the Eisenstein series, Periods, etc.
    CategoryMath Colloquia Dept.연세대학교 Lecturer기하서
    Read More
  5. Counting circles in Apollonian circle packings and beyond

    Counting circles in Apollonian circle packings and beyond
    CategoryMath Colloquia Dept.Brown Univ. Lecturer오희
    Read More
  6. Sheaf quantization of Hamiltonian isotopies and non-displacability problems

    Sheaf quantization of Hamiltonian isotopies and non-displacability problems
    CategoryMath Colloquia Dept.Kyoto Univ./서울대학교 LecturerMasaki Kashiwara
    Read More
  7. Limit computations in algebraic geometry and their complexity

    Given a one-parameter family of algebraic varieties, its point-wise limit is usually too small whereas its algebraic limit is usually too big. I will introduce a notion of meaningful geometric limit and explain how it can be effectively comp...
    CategoryMath Colloquia Dept.POSTECH Lecturer현동훈
    Read More
  8. 학부생을 위한 강연: Introduction to partial differential equations

    We discuss on why we study partial differential equations.
    CategoryMath Colloquia Dept.서울대학교 Lecturer변순식
    Read More
  9. Symmetry Breaking in Quasi-1D Coulomb Systems

    Symmetry Breaking in Quasi-1D Coulomb Systems
    CategoryMath Colloquia Dept.서강대학교 LecturerPaul Jung
    Read More
  10. Partial differential equations with applications to biology

    Partial differential equations with applications to biology
    CategoryMath Colloquia Dept.POSTECH Lecturer황형주
    Read More
  11. 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK

    A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK
    CategoryMath Colloquia Dept.Univ. of Rhode Island/서울대학교 Lecturer국웅
    Read More
  12. Gaussian free field and conformal field theory

    Ward's identities and the related concept of the stress-energy tensor are standard tools in conformal field theory. I will present a mathematical overview of these concepts and outline relations between conformal field theory and Schramm-Loe...
    CategoryMath Colloquia Dept.서울대학교 Lecturer강남규
    Read More
  13. Hamiltonian dynamics, Floer theory and symplectic topology

    In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed str...
    CategoryMath Colloquia Dept.University of Wisconsin Lecturer오용근
    Read More
  14. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

    Global result for multiple positive radial solutions of p-Laplacian system on exterior domain In this talk, we consider p-Laplacian systems with singular indefinite weights. Exploiting Amann type three solutions theorem for the singular syst...
    CategoryMath Colloquia Dept.부산대학교 Lecturer이용훈
    Read More
  15. Seoul ICM 2014 유치과정 개요 및 준비전략

    국제수학자대회(ICM, International Congress of Mathematicians)는 1897년 쮜리히에서 처음 개최되었고, 매 4년마다 개최된다. 100여국 4천여 명 정도의 규모로 9일 동안 계속된다. 우리시대 최고의 수학자들이 참여하며, 필즈상(Fields Medal)을 개막식에서 ...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer박형주
    Read More
  16. Averaging formula for Nielsen numbers

    We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
    CategoryMath Colloquia Dept.서강대학교 Lecturer이종범
    Read More
  17. Structures of Formal Proofs

    Fitch is a formal proof system recently gaining momentum in logic education due to its structural similarity to human reasoning. We introduce Fitch via its web-implementation at http://www.proofmood.com. Then we compare Fitch with more well-...
    CategoryMath Colloquia Dept.경북대학교 Lecturer정주희
    Read More
  18. Contact Homology and Constructions of Contact Manifolds

    .
    CategoryMath Colloquia Dept.서울대 LecturerOtto van Koert
    Read More
  19. Unprojection

    Unprojection or "constructing bigger Gorenstein ideals from smaller one" is an algebraic device for constructing Gorenstein varieties in codimension 4, 5, ..., beyond the range of standard structure theorems; it has a large number of fairly ...
    CategoryMath Colloquia Dept.University of Warwick / 서강대 LecturerMiles Reid
    Read More
  20. Volume entropy of hyperbolic buildings

    Volume entropy of a compact manifold is the exponential growth rate of balls in the universal cover. This seemingly coarse invariant contains a lot of geometric information of the manifold. We will discuss some relations to other invariants,...
    CategoryMath Colloquia Dept.서울대 Lecturer임선희
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 Next
/ 11