Chennai Mathematical Institute


3.00 pm, Lecture Hall 6
Rank-level duality and Conformal Blocks divisors on \bar{M}_{0,n}

Swarnava Mukhopadhyaya
University of Maryland.


Conformal blocks are vector bundles on moduli space of curves with marked points that arise naturally in rational conformal field theory. Recent work on Fakhruddin shows that conformal blocks give rise to a very interesting family of numerically effective divisors and hence relate to questions on nef cones of moduli spaces of genus zero curves with marked points. Rank-level duality connects a conformal block associated to one Lie algebra to a conformal block for a different Lie algebra. In this talk we discuss relations among conformal blocks divisors that arise from rank-level duality.