EVENT DETAILS AND ABSTRACT

Title: Teichmueller Discs with Completely Degenerate Kontsevich-Zorich Spectrum
Speaker: David Aulicino
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

I will introduce the Lyapunov exponents of the Teichmueller geodesic flow on the moduli space of Abelian differentials and give some background on what is known about them. Then I will consider the problem of classifying all SL(2,R) orbits with the property that they have the maximal number of zero Lyapunov exponents with respect to the Kontsevich-Zorich cocycle. It is known that there are two surfaces, one in genus three and one in genus four, whose SL(2,R) orbits have this property. Recent progress toward showing that these are the only two such orbits will be presented.