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Extra Form
강연자 Narutaka Ozawa
소속 RIMS
date 2013-10-31

I will talk on Cannes's Embedding Conjecture, which is considered as one of the most important open problems in the field of operator algebras. It asserts that every finite von Neumann algebra is approximable by matrix algebras in suitable sense. It turns out, most notably by Kirchberg, that Cannes's Embedding Conjecture is equivalent to surprisingly
many other important conjectures which touches almost all the subfields of operator algebras and also to other branches of mathematics such as quantum information theory and noncommutative real algebraic geometry.

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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. 07Nov
    by Editor
    in 수학강연회

    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. Essential dimension of simple algebras

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