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강연자 김상현
소속 서울대학교
date 2014-03-13

The mapping class group of a surface S is the component group of orientation-preserving homeomorphisms on S. We survey geometric and algebraic aspects of this group, and introduce a technique of using right-angled Artin groups to find geometrically significant subgroups of this group. We briefly discuss related groups such as braid groups and area-preserving diffeomorphism groups of surfaces.


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첨부 '1'
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  2. Green’s function for initial-boundary value problem

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

  4. On the distributions of partition ranks and cranks

  5. Q-curvature in conformal geometry

  6. Zeros of the derivatives of the Riemann zeta function

  7. Geometry, algebra and computation in moduli theory

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

  9. High dimensional nonlinear dynamics

  10. What is model theory?

  11. Essential dimension of simple algebras

  12. Restriction theorems for real and complex curves

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

  14. Deformation spaces of Kleinian groups and beyond

  15. Idempotents and topologies

  16. Recent progress on the Brascamp-Lieb inequality and applications

  17. Existence of positive solutions for φ-Laplacian systems

  18. Riemann-Hilbert correspondence for irregular holonomic D-modules

  19. Normal form reduction for unconditional well-posedness of canonical dispersive equations

  20. Random conformal geometry of Coulomb gas formalism

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