PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Subtle invariants and Traverso's conjectures for p-divisible groups
Seminar:Algebra and Number Theory Seminar
Speaker:Adrian Vasiu, Binghamton University
Abstract:
Let D be a p-divisible group over an algebraically closed field k of positive characteristic p. We will first define several subtle invariants of D which have been introduced recently and which are crucial for any strong classification of D. Then we will present our results on them. For instance, two deep conjectures of Traverso from mid 1970's pertain to the smallest truncations D[pm] of D which determine either the Newton polygon of D or even the isomorphism class of D. We report on joint work with Marc-Hubert Nicole and Eike Lau which proves refined versions of these two conjectures. Applications of our results and their proofs will be as well mentioned. The talk will be accessible to graduate students that have some familiarity with the ring of Witt vectors of k.

Room Reservation Information

Room Number:MB106
Date:09 / 16 / 2010
Time:11:15am - 12:05pm