Planning
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Tuesday, May 24, 2022 ›
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09:00
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16:00
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›10:30 (1h)
Talk
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.
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