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|
|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
|Date:||09 / 11 / 2014|
|Time:||11:15am - 12:05pm|