09:00
10:00
11:00
12:00
13:00
14:00
15:00
16:00
›9:00 (1h)
›10:00 (30min)
›10:30 (1h)
Exposé
A. Pozzi : "Higher Elliptic Elements and a tame analogue of a conjecture of Perrin-Riou". A conjecture proposed by Harris and Venkatesh relates the derived Hecke algebra of weight one modular forms to a certain Stark unit. This conjecture can be formulated in terms of a pairing involving with the Shimura class, a class in the first etale cohomology group of the modular curve. Instances of this conjecture have recently been proved by Darmon, Harris, Rotger and Venkatesh. A key ingredient is the study of a generalised Eisenstein eigenspace for mod p modular forms. In this talk, I will discuss an analogue construction for generalised “elliptic" eigenspaces, which can be viewed as a tame refinement of a conjecture of Perrin-Riou. This is joint work in progress with Henri Darmon.
A. Pozzi : "Higher Elliptic Elements and a tame analogue of a conjecture of Perrin-Riou". A conjecture proposed by Harris and Venkatesh relates the derived Hecke algebra of weight one modular forms to a certain Stark unit. This conjecture can be formulated in terms of a pairing involving with the Shimura class, a class in the first etale cohomology group of the modular curve. Instances of this conjecture have recently been proved by Darmon, Harris, Rotger and Venkatesh. A key ingredient is the study of a generalised Eisenstein eigenspace for mod p modular forms. In this talk, I will discuss an analogue construction for generalised “elliptic" eigenspaces, which can be viewed as a tame refinement of a conjecture of Perrin-Riou. This is joint work in progress with Henri Darmon.
›11:30 (1h30)
›13:00 (1h30)
›14:30 (30min)
›15:00 (1h30)
