Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
Components of Hurwitz spacesGeometry/Topology
|Speaker: ||Brian Osserman, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Wed, Feb 6 2008, 4:10PM|
Hurwitz studied branched covers of the Riemann sphere, which can be
described equivalently in either geometric or group-theoretic terms.
Moduli spaces of such covers are now known as Hurwitz spaces, and a
fundamental question has been to understand the connected components
of Hurwitz spaces. This question has fundamental applications in
algebraic geometry and number theory. I will discuss some recent
work on the topic, as well as directions for further research.