Mathematics Colloquia and Seminars
Generalizing the Strange Duality for K3 surfacesAlgebraic Geometry
|Speaker:||Svetlana Makarova, MIT|
|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.