MIT Combinatorics Seminar
Counting covers of elliptic curves
Dawei Chen
(Harvard University)
Friday, April 20, 2007
4:15 pm Room 2-136
ABSTRACT
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Many algebro-geometric problems about moduli spaces eventually
boil down to deep combinatorial problems. In this talk I will show,
by using symmetric groups, how combinatorics natually arises
when we study the loci of certain branched covers of elliptic curves in
the moduli space of genus g curves. Most of the results and open
problems will be stated in a purely combinatorial setting. I will also
mention a geometric interpretation that provides
surprisingly neat proofs for some equalities from enumerative combinatorics.
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