Generalised Eigenvalues via Flach Classes

Generalised Eigenvalues via Flach Classes

Explore the intricate relationship between generalized eigenvalues for mod p cusp forms of weight 2 and Galois cohomology classes in this advanced mathematics lecture. Delve into the action of Hecke algebras on mod p modular forms, examining cases where semisimplicity may not hold. Discover a formula connecting these generalized eigenvalues to geometrically constructed Galois cohomology classes, as developed by Matthias Flach. Gain insights into ongoing research in algebraic number theory and modular forms, presented as a joint work in progress with Henri Darmon.