Characteristic Cycles and Representation Theory

The project combines algebraic geometry with the theory of D-modules and perverse sheaves. Its main goal is to study subvarieties of abelian varieties via characteristic cycles, conic Lagrangian cycles on the cotangent bundle which encode subtle information about singularities. The Tannakian formalism leads to a relation between such cycles, Gauss maps and the representation theory of linear algebraic groups. The combination of these topics is likely to find applications both in algebraic geometry and in understanding the arising Tannakian groups.

Principal Investigators
Krämer, Thomas Prof. Dr. (Details) (Algebra and Number Theory)

Financer
DFG: Sachbeihilfe

Duration of Project
Start date: 10/2020
End date: 09/2023

Research Areas
Mathematics

Last updated on 2020-25-07 at 00:05