100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

The global geometry of the moduli space of curves

星期四, 30 四月, 2009 - 18:30
Prénom de l'orateur: 
Nom de l'orateur: 
The moduli space of curves M_g is the universal parameter space for
Riemann surfaces of given genus. Its study has been initiated by Riemann
in 1857 and it has been a long-standing problem to describe the nature of
the moduli space as an algebraic variety. I will survey the history of the
problem starting with Severi's conjecture from 1915 predicting that M_g is
always unirational, continuing with the work of Harris and Mumford
spectacularly disproving Severi's conjecture and finally discussing a
recent result which settles this problem in one of the most interesting
remaining cases, that of genus 22.
Humboldt Universität -- Berlin
logo uga logo cnrs