An example of liftings with different Hodge numbers
An example of liftings with different Hodge numbers

Shizhang Li, Columbia 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 counterexample. In this talk, I will first introduce the background of this problem. Then I shall discuss some obvious constraints of constructing a counterexample. Lastly I will present such a counterexample and state a further question.