|Date: Tuesday, October 10, 2017
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Teichmueller theorems and generalizations
Abstract: How well do we understand 2-dimensional manifolds? Every topologist knows that we can classify surfaces up to homeomorphism, but what can we say about their geometries? In higher dimension, Moscow Rigidity states that the geometry of a complete, finite volume hyperbolic manifold is unique and determined by its fundamental group. However, Moscow Rigidity fails for surfaces, which gives rise to Teichmueller theory, which is the study of all these geometries. One of the early results of the theory was to determine "how far" two geometries of a given surface are from each other. In this talk, we will try to give basic intuition of this notion of distance and generalize it to branched covers. This talk will be aimed for everyone who knows basic complex analysis and topology. Instead of trying to prove theorems precisely, we will go over the intuition behind them.
Speaker: Maxime Scott
Institution: Indiana University