Abstract Johannes Schmitt

Johannes Schmitt will speak on

Strata of k-differentials and double ramification cycles

Abstract: Inside the moduli space of stable curves we have the strata of k-differentials, the closures of loci of smooth pointed curves admitting a meromorphic k-differential form with zeros and poles of specified orders at the marked points. A conjecture relating the fundamental classes of these strata to Pixton's formula for the (generalized) double ramification cycle was proposed by Janda, Pandharipande, Pixton, Zvonkine (for k=1) and myself (for k>1). I will recall the conjecture and explain how it can now be proved using joint work with Bae, Holmes, Pandharipande and Schwarz on double ramification cycles in the universal Picard stack.