Wednesday, January 19, 2022 4:30 PM

Using a construction of Godeaux, Serre showed that every finite group can be realized as the etale fundamental group of a smooth proper variety. In fact, the same construction can be used to construct smooth proper varieties with a number of other interesting properties, including failure of Hodge symmetry in characteristic p. We will discuss these Godeaux-Serre varieties and prove a few applications.