Algebraic Geometry Seminar

Rational Curves on Bi-Disc Quotients

Speaker: Michael McQuillan, IHES

Location: Warren Weaver Hall 201

Date: Thursday, May 19, 2016, 4:45 p.m.

Synopsis:

I'll prove and discuss the consequences of the existence of rational curves on bi-disc quotients in positive characteristic. The main article is here, although it doesn't contain a further interesting consequence: failure of smooth base change in ├ętale homotopy (notwithstanding that this is a theorem in ├ętale co-homology) that I will probably discuss.