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Extra Form
Lecturer 백상훈
Dept. KAIST
date Oct 30, 2014

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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  1. Existence of positive solutions for φ-Laplacian systems

  2. 05Nov
    by 김수현
    in Math Colloquia

    Essential dimension of simple algebras

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

  4. Entropy of symplectic automorphisms

  5. Entropies on covers of compact manifolds

  6. Elliptic equations with singular drifts in critical spaces

  7. Diophantine equations and moduli spaces with nonlinear symmetry

  8. Descent in derived algebraic geometry

  9. Deformation spaces of Kleinian groups and beyond

  10. Creation of concepts for prediction models and quantitative trading

  11. Counting number fields and its applications

  12. Counting circles in Apollonian circle packings and beyond

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

  14. Contact topology of singularities and symplectic fillings

  15. Contact instantons and entanglement of Legendrian links

  16. Contact Homology and Constructions of Contact Manifolds

  17. Conservation laws and differential geometry

  18. Connes's Embedding Conjecture and its equivalent

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

  20. Congruences between modular forms

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