[Dottorcomp] Seminari di Algebra e Geometria - mercoledì 20 marzo 2024

[Lidia Stoppino]

Il giorno mercoledì 20 marzo 2023 
alle 16,30 in aula Beltrami 

La Dott.ssa Carolina Tamborini (Universität Duisburg-Essen)
terrà un seminario dal titolo:

Tautological rings and non-tautological double cover cycles

Abstract: While the full cohomology ring H*(\bar{Mg,n}) of the moduli space of genus g, n-pointed stable curves is generally intractable to study, a distinguished subring RH*(\bar{Mg,n}), called the tautological ring, stands out. This subring admits an explicit set of generators and is rich enough to contain most cohomology classes arising from natural algebraic cycles.
In the seminar, we aim to address the natural question of whether the equality RH*=H* occurs.
 After an introduction on moduli spaces of curves and their tautological rings, I will discuss joint work together with V. Arena, S. Canning, E. Clader, R. Haburcak, A.Q. Li, and S.C. Mok on the construction of many new non-tautological algebraic cohomology classes arising from double cover cycles, generalising previous work by Graber-Pandharipande and van Zelm.

Tutti gli interessati sono cordialmente invitati a partecipare. 
Chi vuole venire a cena scriva tempestivamente a me, a filippo Favale <filippo.favale a unipv.it> e a Davide Bricalli <davide.bricalli a unipv.it>.

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Lidia Stoppino
Dipartimento di Matematica
Università di Pavia
Via Ferrata 5
27100 Pavia
Ufficio C.07 (primo piano)
Tel. +39 0382 985624
e-mail: lidia.stoppino a unipv.it 
pagina web: http://www.stoppino.it