Geometry Seminar

Totally geodesic varieties in moduli space

Ronen, Mukamel

Thursday, April 27th, 2017
12:00 PM - 1:00 PM
Hylan 1106A

An important challenge in Teichmuller theory is to classify the special subvarieties of the moduli space of Riemann surfaces which are totally geodesic for the Teichmuller metric. These totally geodesic varieties are rare, and their origins remain a mystery. Until recently, the only known non-elementary examples were curves. I will discuss the first surprising example of a totally geodesic algebraic surface. This work is joint with Curt McMullen and Alex Wright.

Event contact: skleene at ur dot rochester dot edu