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University of Massachusetts Amherst
Department of Mathematics and Statistics
 
Colloquium


Effective divisors on moduli spaces of curves


Abstract: The main theme will be an interplay between global birational geometry of moduli spaces of curves and existence of special line bundles on individual curves, the so-called "Brill-Noether loci". I will review the classical Harris-Mumford story in high genus and then explain my recent results (joint with Ana-Maria Castravet) which turn this theory on its head for curves of genus zero with punctures. The talk is intended for a general audience and will be accessible to graduate students.


Jenia Tevelev
UMass-Amherst

Thursday, November 19, 2009

4:00pm-5:00pm

Refreshments at 3:45

LGRT 1634