PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ae Ja Yee, Robert Vaughan, Mihran Papikian.

Title:Branched covers and linear series
Seminar:Algebra and Number Theory Seminar
Speaker:Ryan Eberhart, Penn State
Abstract:
I will discuss how considering linear series on a curve X suggests a natural equivalence relation on covers, different from the usual equivalence given on covers of a fixed base. In the usual equivalence, since the tame ├ętale fundamental group is finitely generated, there are no non-trivial families of tame covers of fixed degree and branch locus. However, as noted by Osserman, under the equivalence suggested by linear series there do exist tame families of fixed degree and ramification locus. In the non-Galois case I will present some results towards classifying when such families can exist. In the Galois case, I will provide a complete classification.

Room Reservation Information

Room Number:MB106
Date:09 / 12 / 2013
Time:11:15am - 12:05pm