# Number Theory Seminar

This seminar is held on Tuesdays at 10am in 104 Deady Hall unless otherwise stated.

### Winter Quarter, 2019

- January 15,
**Maria Fox** (Boston College)

The GL(4) Rapoport-Zink Space
**Abstract**: The GL(2n) Rapoport-Zink space is a moduli space of supersingular p-divisible groups of dimension n and height 2n, with a quasi-isogeny to a fixed basepoint. After the GL(2) Rapoport-Zink space, which is zero-dimensional, the GL(4) Rapoport-Zink space has the most fundamental moduli description, yet relatively little of its specific geometry has been explored. In this talk, I will give a description of the geometry of the GL(4) Rapoport-Zink space, including the connected components, irreducible components, and intersection behavior of the irreducible components. As an application of the main result, I will also give a description of the supersingular locus of the Shimura variety for the group GU(2,2) over a prime split in the relevant imaginary quadratic field.

- February 26,
**John Bergdall** (Bryn Mawr College)

### Spring Quarter, 2019

- April 16,
**Matt Baker** (Georgia Tech)
- May 14,
**Lillian Pierce** (Duke University)

**Previous years**: 2018 2017 2016