Department of Mathematics

Indian Institute of Science

Bangalore 560 012






Swarnava Mukhopadhyay
Affiliation : Univ of Maryland, College Park

Subject Area






Department of Mathematics, Lecture Hall I




03:30 pm.




July 25, 2016 (Monday)



"Rank-level duality of Conformal Blocks"


Classical invariants for representations of one Lie group can often be related to invariants of some other Lie group. Physics suggests that the right objects to consider for these questions are certain refinements of classical invariants known as conformal blocks. Conformal blocks appear in algebraic geometry as spaces of global sections of line bundles on the moduli stack of parabolic bundles on a smooth curve. 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 will first discuss rank-level duality for the pair orthogonal and spin groups on the projective line and then for the pair (G_2, F_4) over a smooth curve of genus g. If time permits, we will discuss rank-level duality for odd orthogonal groups over curves of positive genus. The later is joint with Richard Wentworth.