Moduli spaces of Riemann surfaces

Speaker:

Carl-Friedrich Bödigheimer

Affiliation:

Bonn University

Date:

Mon, 14/11/2011 - 16:30 - 17:15

Location:

MPIM Lecture Hall [2]

Parent event:

Geometric Topology Seminar [3]

The moduli spaces of Riemann surfaces with one (or more) boundary curves and possible
punctures is considered. We describe first a cell decomposition (of a compactification) and
study a filtration of the moduli spaces. Then we define some homology operations and present
some calculations of homology groups for genus 1, 2 and 3.