Department of Mathematics
Mathematics Colloquium - Spring 2014
Thursday, March 6th, 2014
11:00am - 12:00pm, in Science 2-063
11:00am - 12:00pm, in Science 2-063
Alberto Lopez
Tufts UniversityNew compactifications of moduli stacks and the GJV conjecture
Abstract:
Moduli spaces in algebraic geometry parametrize objects
varying in families. The compactifications of the moduli spaces of
curves and maps were constructed last century and helped give answer
to enumerative questions that had been open for decades by means of
Gromov-Witten theory. In this talk I will discuss these
compactifications and the enumerative significance of Gromov-Witten
invariants in some cases. I will also discuss work in progress with
Barbara Fantechi toward the construction of a new compactification of
the Picard stack over the moduli space of stable pointed curves.
 |
Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
||
