PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:The Strong CM Lifting Problem
Seminar:Algebra and Number Theory Seminar
Speaker:Taisong Jing, University of Pennsylvania
Abstract:
It is known that an abelian variety over a finite field may not admit a lifting to an abelian variety with complex multiplication in characteristic 0. The question of strong CM lifting (sCML) asks whether we can kill the obstructions to a CM lifting by requiring the whole ring of integers in the CM field act on the abelian variety. I will give counterexamples to question (sCML), and prove the answer to question (sCML) is affirmative under the following assumptions on the CM field L: for every place v above p in the maximal totally real subfield L_0 , either v is inert in L, or v is split in L with absolute ramification index e(v) < p − 1

Room Reservation Information

Room Number:MB106
Date:01 / 30 / 2014
Time:11:15am - 12:05pm