Event Type
Seminar
Tuesday, October 15, 2019 4:00 PM
Aaron Landesman

After discussing background on valuative criteria in algebraic geometry, I'll present the little-known valuative criterion for locally closed immersions. Time permitting, I'll discuss the following applications of this criterion: 

1. The moduli stack of hyperelliptic genus g curves is a locally closed substack of the the moduli stack of principally polarized abelian varieties when g is at least 2 and 2 is invertible on the base.

2. The moduli stack of degree d plane curves is a locally closed substack of moduli stack of curves for d at least 4. 

Also come if you want to find out what the valuative criterion for locally closed immersions has to do with Brian Conrad's passion for libraries.