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Moduli spaces of twisted maps to smooth pairs

February 7 at 16:0017:00 CET

TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2024/25)

Robert Crumplin (Universität Heidelberg)
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.

Details

Date:
February 7
Time:
16:00 – 17:00 CET
Website:
https://www.uni-frankfurt.de/115627094/Lehre#a_79e0c850-94d78d12

Venue

Frankfurt, Robert-Mayer-Str. 10, Raum 711 groß

Organizers

Martin Ulirsch
Andreas Gross
Dante Luber