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강연자 강남규
소속 고등과학원
date 2018-04-05

Since Belavin, Polyakov, and Zamolodchikov introduced conformal field theory as an operator algebra formalism which relates some conformally invariant critical clusters in two-dimensional lattice models to the representation theory of Virasoro algebra, it has been applied in string theory and condensed matter physics. In mathematics, it inspired development of algebraic theories such as Virasoro representation theory and the theory of vertex algebras. After reviewing its development and presenting its rigorous model in the context of probability theory and complex analysis, I discuss its application to the theory of Schramm-Loewner evolution. 


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  1. 06Apr
    by 김수현
    in 수학강연회

    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. Essential dimension of simple algebras

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