School of Mathematics Seminars and Lectures

Rank-level duality and Conformal Blocks divisors on ${\bf \bar{M}_{0,n}}$

by Prof. Swarnava Mukhopadhyay (University of Maryland, USA)

Monday, July 28, 2014 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description Conformal blocks are vector bundles on moduli
space of curves with marked points that arise naturally
in rational conformal field theory.?? Recent work of N.
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.