Algebraic cobordism in geometric Langlands (B07)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

This project investigates the geometry of moduli spaces, such as the affine Grassmannian, within the Langlands program using motivic methods. We aim to extend the motivic Satake equivalence established in the first funding period to generalized cohomology theories such as K-theory, Morava E-theory, and algebraic cobordism. Key goals include advancing foundations in equivariant motivic homotopy theory, establishing a spectrally enriched Satake equivalence, and exploring applications in representation theory, particularly connections between chromatic homotopy theory and modular representation theory.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Dr. Tom Bachmann; Dr. Jens Niklas Eberhardt; Professor Dr. Timo Richarz