p-adic L-functions for GSp(4) x GL(2) in the non-ordinary case

"p-adic L-functions for GSp(4) x GL(2) in the non-ordinary case", organizado polo CITMAga en formato presencial. Será impartido por Andrew Graham (University of Oxford).

Data: 30 de maio de 2025

Hora: 09.30-11.30h  

Duración: 2 horas

Lugar: Aula 10 da Facultade de Matemáticas (USC)

Abstract:

I will discuss the construction of a p-adic L-function associated with the convolution of a cuspidal Siegel modular form F of genus 2 and a cuspidal modular form g, when both F and g are non-critical at p (but not necessarily ordinary). This extends previous work of Loeffler--Pilloni--Skinner--Zerbes, and involves a suitable notion of nearly overconvergent forms in higher degrees of coherent cohomology ("nearly higher Coleman theory"). I will also mention applications to the Bloch--Kato conjecture. Joint work with Rob Rockwood.