Teichmueller flow and complex geometry of Moduli Spaces

Vlad Markovic - Ordway Visitor
Caltech
Thursday, April 18, 2019 - 3:35pm to 4:35pm
Vincent Hall 16

I will explain why in general the Caratheodory and Teichmueller metrics do not agree on Teichmueller spaces and why this yields a proof of the convexity conjecture of Siu. Moreover, I will illustrate how deep theorems in Teichmueller dynamics play an important role in classifying Teichmueller discs where the two metrics agree.