Joint IAS/Princeton University Algebraic Geometry Seminar

Topic: An example of liftings with different Hodge numbers

Speaker: Shizhang Li

Affiliation: Columbia University

Date & Time: Monday February 18th, 2019, 5:00pm - 6:00pm

Location: 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.