PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:The Strong CM Lifting Problem
Seminar:Algebra and Number Theory Seminar
Speaker:Taisong Jing, Penn State University
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), prove the answer to question (sCML) is affirmative under certain assumptions on the CM field, and explain some follow-up problems that I have been working on.

Room Reservation Information

Room Number:MB106
Date:09 / 11 / 2014
Time:11:15am - 12:05pm