| Talk_id | Date | Speaker | Title |
|
26862
|
Wednesday 9/23
4:00 PM
|
Igor Rapinchuk, MSU
|
Algebraic groups with good reduction. Zoom https://msu.zoom.us/j/97573873209
- Igor Rapinchuk, MSU
- Algebraic groups with good reduction. Zoom https://msu.zoom.us/j/97573873209
- 09/23/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
Techniques involving reduction are very common in number theory and arithmetic geometry. In particular, elliptic curves and general abelian varieties having good reduction have been the subject of very intensive investigations over the years. The purpose of this talk is to report on recent work that focuses on good reduction in the context of reductive linear algebraic groups over finitely generated fields. In addition, we will highlight some applications to the study of local-global principles and the analysis of algebraic groups having the same maximal tori. (Parts of this work are joint with V. Chernousov and A. Rapinchuk.)
|
|
26873
|
Wednesday 10/14
4:00 PM
|
Lennart Gehrmann, Universität Duisburg-Essen
|
Gelfand's trick for the spherical derived Hecke algebra
- Lennart Gehrmann, Universität Duisburg-Essen
- Gelfand's trick for the spherical derived Hecke algebra
- 10/14/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Preston Wake (wakepres@msu.edu)
Gelfand’s trick shows that the spherical Hecke algebra of a
p-adic split reductive group such as $\mathrm{GL}_n(\mathbf{Q}_p)$ is commutative.
In this talk I will present a generalization of this result to the
setting of derived Hecke algebras as introduced by Venkatesh, i.e. I
show that the spherical derived Hecke algebra is graded-commutative
under mild assumptions on the coefficient ring.
|
|
26892
|
Wednesday 10/21
4:00 PM
|
Patrick Daniels, University of Michigan
|
Displays and p-divisible groups with G-structure
- Patrick Daniels, University of Michigan
- Displays and p-divisible groups with G-structure
- 10/21/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Georgios Pappas (pappasg@msu.edu)
Rapoport-Zink formal schemes are moduli spaces of p-divisible groups equipped with additional structures coming from an algebraic group. In order to define these formal schemes in general, one is led to search for the "right" way to endow a p-divisible group with the structure of an arbitrary algebraic group. We discuss a Tannakian approach to this problem using Zink's theory of displays, and we explain how it recovers another approach using crystalline Tate tensors in the Hodge-type case.
|
|
26900
|
Wednesday 10/28
4:00 PM
|
Xiaolei Zhao, UC Santa Barbara
|
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
- Xiaolei Zhao, UC Santa Barbara
- Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
- 10/28/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Laure Flapan (flapanla@msu.edu)
We will show how to construct hyperkähler manifolds of O'Grady 10 type out of smooth cubic fourfolds. Applications to classical algebraic geometry questions on intermediate jacobian fibrations of families of cubic threefolds, and quintic elliptic curves on cubic fourfolds will be explained. This is based on joint work with Chunyi Li and Laura Pertusi.
|
|
26902
|
Wednesday 11/11
4:00 PM
|
Joshua Lam, Harvard
|
TBA
- Joshua Lam, Harvard
- TBA
- 11/11/2020
- 4:00 PM - 4:05 PM
- Online (virtual meeting)
- Laure Flapan (flapanla@msu.edu)
TBA
|
|
26888
|
Wednesday 11/18
4:00 PM
|
Anna Medvedovsky, Boston University
|
TBA
- Anna Medvedovsky, Boston University
- TBA
- 11/18/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Preston Wake (wakepres@msu.edu)
No abstract available.
|
|
26898
|
Wednesday 12/2
4:00 PM
|
Skip Garibaldi, CCR La Jolla
|
TBA
- Skip Garibaldi, CCR La Jolla
- TBA
- 12/02/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Igor Rapinchuk (rapinchu@msu.edu)
No abstract available.
|
