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Extra Form
Lecturer 강남규
Dept. 고등과학원
date Apr 05, 2018

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. Fixed points of symplectic/Hamiltonian circle actions

  2. A modified separation method to solve a heat-transfer boundary value problem

  3. Arithmetic of elliptic curves

  4. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

  5. Trends to equilibrium in collisional rarefied gas theory

  6. The Lagrange and Markov Spectra of Pythagorean triples

  7. A-infinity functor and topological field theory

  8. Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients

  9. Alice and Bob meet Banach and von Neumann

  10. Congruences between modular forms

  11. W-algebras and related topics

  12. On function field and smooth specialization of a hypersurface in the projective space

  13. <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

  14. 1 is big enough to understand 3

  15. Mathemaics & Hedge Fund

  16. Unique ergodicity for foliations

  17. 06Apr
    by 김수현
    in Math Colloquia

    Conformal field theory in mathematics

  18. <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system

  19. Anomalous diffusions and fractional order differential equations

  20. Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition

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