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Generalizing the Strange Duality for K3 surfaces

Algebraic Geometry

Speaker: Svetlana Makarova, MIT
Related Webpage: https://murmuno.mit.edu/
Location: 2112 MSB
Start time: Wed, Jan 22 2020, 12:10PM

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.