PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:A generic vanishing theorem in positive characteristic (joint work with Christopher Hacon)
Seminar:Algebra and Number Theory Seminar
Speaker:Zsolt Patakfalvi, Princeton University
Abstract:
I will present a generic vanishing type theorem in positive characteristic. I will also introduce a new invariant the S-Kodaira dimension which can be thought of as the Frobenius stable Kodaira dimension. Example applications of the above mentioned generic vanishing type theorems, that I will present, are: 1.) if the S-Kodaira dimension of a smooth variety  X over an algebraically closed field of positive characteristic is zero then the Albanese morphism of X is surjective. In particular, the first Betti number of X is at most the dimension of X 2.) a characteriztaion of smooth projective varieties birational to ordinary abelian varieties. 

Room Reservation Information

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