PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact John Roe, Dmitri Burago.

Title:Variation on a theme of Luroth
Seminar:Geometry Luncheon Seminar
Speaker:Yuri Zarhin, Penn State
Abstract:
Let X -> Y be a finite covering of compact Riemann surfaces. It is well known that if X is the Riemann sphere then Y is also the Riemann sphere. (An algebraic version of this result is called a theorem of Luroth.) It turns out that for a given g>1 a natural generalization of Luroth's theorem holds true only for ``almost all" X of genus g . We discuss explicit examples (and counterexamples).

Room Reservation Information

Room Number:MB114
Date:10 / 07 / 2009
Time:12:15pm - 01:15pm