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Vendredi 10 Mars
| Heure: |
10:30 - 12:00 |
| Lieu: |
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
Géométrie Arithmétique et Motivique - Fourth moments of automorphic forms and an application to diameters of hyperbolic surfaces - |
| Description: |
Raphael SteinerIn joint work with Ilya Khayutin and Paul Nelson, we demonstrate how
theta functions may be used to derive geometric expressions for fourth
moments of automorphic forms on hyperbolic surfaces. By carefully
estimating a second moment matrix count, we obtain a sharp pointwise
bound on the fourth moment in the weight and level aspect. As a
consequence, we significantly improve the sup-norm bounds in these
aspects and give an unconditional upper bound on the diameter of
hyperbolic surfaces of the same strength as if one were to assume the
Selberg eigenvalue conjecture. |
| Heure: |
14:00 - 15:00 |
| Lieu: |
Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13 |
| Résumé: |
MB - Modélisation probabiliste de maladie génétique basée sur un grand nombre de gènes - |
| Description: |
Élie Cerf |
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