Next: Peter Zvengrowski - Diagonal Up: Low Dimensional Topology / Previous: Nabil Sayari - The
Denis Sjerve - Genus actions on Riemann surfaces and spherical space forms
DENIS SJERVE, Mathematics Department, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada | |
Genus actions on Riemann surfaces and spherical space forms |
In this lecture we address the problem of which finite groups G admit effective analytic actions on some connected compact Riemann surface S so that all quotient surfaces S/H have genus , where H is any non-trivial subgroup of G. We relate this problem to the spherical space form problem through the associated action of G on the vector space V of holomorphic differentials on S.
eo@camel.math.ca