Seminari

Topology of Tropical Moduli Spaces of weighted stable curves in higher genus

Stefano Serpente

14-10-2021 - 14:15
Largo San Leonardo Murialdo, 1

 

Given integers g≥0, n≥1, and a vector w∈(Q∩(0, 1])^n such that 2g −2 + ∑w_i > 0, we study the topology of the moduli space ?g,w of w-stable tropical curves of genus g with volume 1. The space ?g,w is the dual complex of the divisor of singular curves in Hassett’s moduli space of w-stable genus gcurves Mg,w. When g≥1, we show that ?g,w is simply connected for all possible w. We also give a formula for the Euler characteristic of ?g,w in terms of the combinatorics of w.

Il seminario sarà presentato in presenza nell'aula M1. Tutti gli afferenti all'università Roma Tre potranno accedere previa esibizione del greenpass. Gli esterni che fossero interessati a partecipare possono contattare gli organizzatori all'email amos.turchet@uniroma3.it.

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org: Turchet Amos

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