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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. Conformal field theory in mathematics

  2. Congruences between modular forms

  3. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  4. Connes's Embedding Conjecture and its equivalent

  5. Conservation laws and differential geometry

  6. Contact Homology and Constructions of Contact Manifolds

  7. Contact instantons and entanglement of Legendrian links

  8. Contact topology of singularities and symplectic fillings

  9. Convex and non-convex optimization methods in image processing

  10. Counting circles in Apollonian circle packings and beyond

  11. Counting number fields and its applications

  12. Creation of concepts for prediction models and quantitative trading

  13. Deformation spaces of Kleinian groups and beyond

  14. Descent in derived algebraic geometry

  15. Diophantine equations and moduli spaces with nonlinear symmetry

  16. Elliptic equations with singular drifts in critical spaces

  17. Entropies on covers of compact manifolds

  18. Entropy of symplectic automorphisms

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

  20. 05Nov
    by 김수현
    in 수학강연회

    Essential dimension of simple algebras

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