Number Theory Seminar by Helge Ruddat

Helge Ruddat (Univ. of Mainz) will give a Number Theory Seminar on Friday, February 26 in Aud 8 from 14:15-15:15.

Title: Tropical descendent log Gromov-Witten invariants

Abstract: Descendent Gromov-Witten invariants play a central role in canonical deformations of Landau-Ginzburg models as well as the multiplication rules of generalized theta functions, both relevant for (homological) mirror symmetry. In a joint work with Travis Mandel, I prove that tropical Gromov-Witten invariants with psi class conditions coincide with descendent log Gromov Witten invariants for smooth toric varieties whenever non-superabundance is given. We use toric degenerations a la facon de Siebert-Nishinou and we expect that our approach will be generalizable to Mumford or Gross-Siebert type degenerations.