REMINDER: ICTP Mathematics Seminar - Thursday 23 January, at 14:30 - Gavril Farkas - VENUE: Luigi Stasi Seminar Room

[ICTP Math Section]

_ICTP MATHEMATICS SEMINARS 2025_


Thursday 23 January 2025, at 14:30


VENUE: ICTP Leonardo Da Vinci Building, Luigi Stasi Room


Speaker: Gavril Farkas (Humboldt University, Berlin)


Title: The birational geometry of M_g: new developments via non-abelian 
Brill-Noether theory and tropical geometry


Abstract: I will discuss how novel ideas from non-abelian Brill-Noether 
theory can be used to prove that the moduli space of genus 16 curves is 
uniruled and that the moduli space of Prym varieties of genus 13 is of 
general type. For the much studied question of determining the Kodaira 
dimension of moduli spaces, both these cases were long understood to be 
crucial in order to make further progress. I will also explain the use 
of tropical geometry in order to establish the Strong Maximal Rank 
Conjecture, necessary to carry out this program.

https://indico.ictp.it/event/10936/

All are welcome to attend.