|Date: Wednesday, November 20, 2019
Location: 4096 East Hall (4:00 PM to 5:20 PM)
Title: Kappa rings and boundary vanishing
Abstract: The moduli space of compact type curves of genus g is an open locus inside the moduli space of stable curves consisting of those curves with compact Jacobians. The full intersection theory of this compact type moduli space is not very well understood, but in 2009 Pandharipande determined the structure of the kappa ring, a small subring of its Chow ring. After reviewing this work, I'll explain how to use it to construct a nonzero class that restricts to zero on every boundary divisor of the moduli space. I'll conclude by giving a few conjectures related to a similar class on the moduli space of stable curves.
Speaker: Aaron Pixton
Institution: MIT/University of Michigan