# Meeting Details

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

Title: Variation on a theme of Luroth Geometry Luncheon Seminar Yuri Zarhin, Penn State 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 10 / 07 / 2009 12:15pm - 01:15pm