Vorträge in der Woche 20.10.2025 bis 26.10.2025

Mittwoch, 22.10.2025: Tropical Tevelev degrees

Erin Dawson (Tuebingen)

Tropical Hurwitz spaces parameterize genus g, degree d covers of a tropical rational curve with fixed branch profiles. Since tropical curves are metric graphs, this gives us a combinatorial way to study Hurwitz spaces. Tevelev degrees are the degrees of a natural finite map from the Hurwitz space to a product \Mgnbar{g,n} \times \Mgnbar{0,n}. In 2021, Cela, Pandharipande and Schmitt presented this interpretation of Tevelev degrees in terms of moduli spaces of Hurwitz covers. In this talk I will define tropical Tevelev degrees and as well as explore a method to perform this calculation of Tevelev degrees of P^1 using the moduli spaces of tropical Hurwitz covers.

Donnerstag, 23.10.2025: Refined invariants in tropical geometry

Uriel Sinichkin (Tel Aviv)

Refined invariants were introduced into tropical geometry by Block and Gottsche in 2016. Since then various authors have investigated their properties and considered several generalizations of them. In this talk I will explore some of the approaches to investigating refined invariants and present a version of refined invariants in positive genus introduced jointly with Eugenii Shustin.

Donnerstag, 23.10.2025: TBA

Dr. Matthew de Courcy-Ireland (Stockholm University)