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Mercredi 31 Mai
| Heure: |
13:30 - 15:00 |
| Lieu: |
Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
Théorie Ergodique et Systèmes Dynamiques - Estimates on the dimension of self-similar measures with overlaps - |
| Description: |
De-Jun Feng
In this talk we will present some algorithms for the computation
of the lower and upper bounds for the dimension of self-similar measures
with overlaps. As examples, we provide some numerical estimates on the
dimension of Bernoulli convolutions.  This is joint work with Zhou Feng. |
Vendredi 2 Juin
| Heure: |
09:45 - 10:30 |
| Lieu: |
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
Géométrie Arithmétique et Motivique - On the p-adic interpolation of Asai L-values - |
| Description: |
Pak-Hin LeeOne theme of the relative Langlands program is that period integrals of
an automorphic representation of G over a subgroup H often detect
functorial transfer from some other group G'; moreover, such period
integrals often compute special L-values. It is natural to expect p-adic
L-functions interpolating these period integrals as the automorphic
representation varies in p-adic families, which should encode geometric
information about the eigenvariety of G. In this talk, we consider the
Flicker--Rallis periods, for which G =GL_n(K) and H = GL_n(Q) for an
imaginary quadratic field K and outline the construction of a p-adic
L-function on the eigenvariety of G interpolating certain non-critical
Asai L-values. We discuss the case n=2 in some detail before moving on
to general n, which is work in progress with Daniel Barrera Salazar and
Chris Williams. |
| Heure: |
11:00 - 12:00 |
| Lieu: |
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
Géométrie Arithmétique et Motivique - Galois representation of partially classical Hilbert modular forms - |
| Description: |
Chi-Yun HsuLet F be a totally real field. A Hilbert modular form is a section of a
modular sheaf, defined over the whole Hilbert modular variety associated
to F, while a p-adic overconvergent form is defined only over a strict
neighborhood of the ordinary locus. For each subset I of the primes of F
above p, one has the intermediate notion of I-classical Hilbert modular
forms by replacing ordinary by I-ordinary. Given an overconvergent
Hecke eigenform f, we have the associated Galois representation rho,
which is well-known to be de Rham at p when f is classical. We prove
that rho is I-de Rham when f is I-classical. The idea is to p-adically
deform f in the weight direction of the complement of I, and knowing
that classical points are dense and I-de Rham points are closed when the
I-Hodge Tate weights are fixed. |
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