An example of liftings with different Hodge numbers

Joint IAS/Princeton University Algebraic Geometry Seminar
Topic:An example of liftings with different Hodge numbers
Speaker:Shizhang Li
Affiliation:Columbia University
Date:Monday, February 18
Time/Room:5:00pm - 6:00pm/Princeton University, Fine Hall 314

Does a smooth proper variety in positive characteristic know the Hodge number of its liftings? The answer is "of course not". However, it's not that easy to come up with a counter-example. In this talk, I will first introduce the background of this problem. Then I shall discuss some obvious constraints of constructing a counter-example. Lastly I will present such a counter-example and state a further question.