TRINO

Speaker: George Politopoulos (Univ. Leiden, NL and Univ. Cergy-Pointoise, FR)

Title: Computation of strata of differentials with spin parity

When: October 22 @ 14h30

Where: Aula Seminari, 3rd floor of H2bis building (mid corridor on the right), MIGe Department, Univ. Trieste, via Valerio 12/1, 34133 Trieste.

Abstract: The strata of k-differentials are subspaces of the moduli space of curves parametrizing stable curves with n markings having a k-log-differential with prescribed zeroes and poles. A natural question to ask is whether there is an explicit formula in the Chow ring of M_{g,n}(bar) of the chow class of these spaces. When k and all the zeroes and poles are odd numbers we can define the so-called "spin refinement" of this problem. In this talk we will investigate the approach via (spin) Double ramification cycles on the aforementioned problems and demonstrate how they can be used to give formulas for the classes of strata of k differentials and their spin refinements.

This talk is based on joint work with Adrien Sauvaget and David Holmes.