Hyperbolicity of moduli stacks by reduction to positive characteristic
Date
Thursday, March 8, 2018 13:00 - 15:00
Speaker
Yohan Brunebarbe (University of Zurich)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Tamas Hausel
Contact
Url
Many moduli stacks of complex algebraic varieties are known to enjoy hyperbolic properties. The best results have so far been proven using sophisticated analytic tools. Though the situation is very different in positive characteristic (e.g. the moduli stack of principally polarized abelian varieties of dimension at least 2 contains rational curves), I will explain how one can reprove many hyperbolicity results by reduction to positive characteristic, using the nonabelian Hodge theory in positive characteristic developed by Ogus and Vologodsky.