20–22 Sept 2023
Argiletum
Europe/Rome timezone

Rational cohomology of moduli spaces of curves

21 Sept 2023, 16:00
1h
Argiletum

Argiletum

via della Madonna dei Monti 40, Roma

Speaker

Angelina Zheng (Università degli studi di Roma Tre)

Description

In this talk we will discuss two different methods to study the rational cohomology of moduli spaces of curves. The first one is Gorinov-Vassiliev's method, which is a topological method that computes the cohomology of complements of discriminants. Similar information on the cohomology of a moduli space can be obtained through a different method, namely by counting its points over finite fields. The two methods will be presented by going through a basic example. Various results on the cohomology of moduli spaces of curves obtained using such methods will also be mentioned.

Primary author

Angelina Zheng (Università degli studi di Roma Tre)

Presentation materials

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