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Math-Physics Joint Seminar

Thursday, March 26, 2020 - 4:30pm

Svetlana Makarova



University of Pennsylvania

DRL 4c2

The Strange Duality conjecture suggests that there should be a natural duality between cohomologies of certain tautological bundles on a pair of   moduli spaces of stable sheaves coming from two orthogonal Chern  characters. In this talk, I will formulate the conjecture more precisely,   briefly review the recent result of Marian-Oprea establishing the Strange   Duality over elliptic K3 surfaces, and formulate our pointwise  generalization. Time permitting, I will outline the formulation of the   result in moduli (over the moduli stack of (quasi)polarized K3s) and   explain how to extend the result from the elliptic locus.