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