星期四, 30 四月, 2009 - 18:30
Prénom de l'orateur:
Gavril
Nom de l'orateur:
FARKAS
Résumé:
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.
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.
Institution:
Humboldt Universität -- Berlin
Salle:
04