researchseminars.org

Robert Crumplin (Universität Heidelberg)
2025-02-07 15:00 - 16:00 UTC | https://researchseminars.org/talk/TGiZ/67/
Title: Moduli spaces of twisted maps to smooth pairs (https://researchseminars.org/talk/TGiZ/67/)
by Robert Crumplin (Universität Heidelberg) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z

Abstract
The question of counting maps from marked curves with fixed tangency conditions to a divisor in the target has been studied extensively over the past 15 years. One way of formulating these enumerative problems is via twisted maps to a root stack. I will describe the geometry of moduli spaces of twisted maps using tropical techniques, in particular giving new understanding to universal structural results of orbifold Gromov–Witten invariants. If time permits, I will talk about upcoming work with Sam Johnston which relates these moduli spaces to their logarithmic counterparts and provides a splitting of the virtual class in terms of the aforementioned tropical data.
