Speaker: Sergey Galkin

Title: Curve counting on varieties with special holonomy

Date: Jan 26, 2016, 11:00 - 12:00


I will show some computations with Jacobians of hyper-elliptic curves, varieties of lines on cubic fourfolds, and some other varieties with special holonomy, that provide evidence that hyperkahler manifolds with large Picard group should be isogeneous to Cartesian powers of elliptic curves. The computations have two interpretations - in B setting one computes periods of a universal 1-parameter family of varieties, and in A setting interpretations the coefficients of the respective periods should have some enumerative invariants, however we don't know what objects they do actually count.