For more information about this meeting, contact Ae Ja Yee, Karl Schwede, Robert Vaughan, Mihran Papikian.
|Title:||Branched covers and linear series|
|Seminar:||Algebra and Number Theory Seminar|
|Speaker:||Ryan Eberhart, Penn State|
|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 étale 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
|Date:||09 / 12 / 2013|
|Time:||11:15am - 12:05pm|