Title: Analysis, geometry and topology of moduli spaces of Riemann surfaces

Speaker: Professor Lizhen Ji (University of Michigan)

Venue: Room 09 at Quan-Zhai (全斋), Beijing International Center for Mathematical Research, Peking University

Time: July 12, 2012, Thursday, 2:00-4:00pm

Abstract: One important method to study moduli spaces of Riemann surfaces is to realize them as quotients of Teichmuller spaces under the action of mapping class groups. In this talk, I will describe some results on moduli spaces of Riemann surfaces, Teichmuller spaces and mapping class groups from the perspectives of the spectral theory, differential geometry, and geometric and algebraic topology. The fruitful analogy and interaction between moduli spaces of Riemann surfaces and locally symmetric spaces will play an important role.