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강연자 백상훈
소속 KAIST
date 2014-10-30

The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the object. In this talk, we introduce the notion of essential dimension of an algebraic structure and discuss its meaning with various examples. In particular, we explain some recent results on the essential dimension of central simple algebras.


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첨부 '1'
  1. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  2. Geometry, algebra and computation in moduli theory

  3. Geometric structures and representation spaces

  4. Geometric Langlands theory: A bridge between number theory and physics

  5. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  6. Gaussian free field and conformal field theory

  7. From mirror symmetry to enumerative geometry

  8. Freudenthal medal, Klein medal 수상자의 수학교육이론

  9. Free boundary problems arising from mathematical finance

  10. Fixed points of symplectic/Hamiltonian circle actions

  11. Fermat´s last theorem

  12. Fefferman's program and Green functions in conformal geometry

  13. Fano manifolds of Calabi-Yau Type

  14. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

  15. Existence of positive solutions for φ-Laplacian systems

  16. 05Nov
    by 김수현
    in 수학강연회

    Essential dimension of simple algebras

  17. Equations defining algebraic curves and their tangent and secant varieties

  18. Entropy of symplectic automorphisms

  19. Entropies on covers of compact manifolds

  20. Elliptic equations with singular drifts in critical spaces

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