Séminaire Analyse
organisé par l'équipe Analyse
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Antide Durrafour
Bohr-Sommerfeld quantization conditions with exponentially sharp precision
4 décembre 2025 - 11:00Salle de conférences IRMA
In this presentation I will analyze the spectrum of 1D pseudodifferential operators in a region where each energy curve is diffeomorphic to a circle. Under holomorphic assumptions on the symbol, I will use some techniques of analytic microlocal analysis to approach the spectrum up to an exponentially small error. If time allows, I will briefly present a generalization of this result for some non selfadjoint pseudodifferential operators. This work has been realized under the kind supervision of San Vu Ngoc et Yannick Guedes Bonthonneau. -
Joe Thomas
Spectral gap for random hyperbolic surfaces
11 décembre 2025 - 11:00Salle de conférences IRMA
The first non-zero eigenvalue, or spectral gap, of the Laplacian on a closed hyperbolic surface encodes important geometric and dynamical information about a surface. In this talk, I will discuss the typical size of the spectral gap for a random surface with large genus sampled with respect to the Weil-Petersson probability measure. In particular, I will explain joint work with Will Hide and Davide Macera where we obtain a spectral gap with a polynomial error rate. Our result uses a fusion of the polynomial method used in recent breakthroughs on the strong convergence of group representations with the trace formula for hyperbolic surfaces. -
Annalaura Stingo
TBA
29 janvier 2026 - 11:00Salle de conférences IRMA
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Théo Fradin
TBA
5 février 2026 - 11:00Salle de conférences IRMA
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Baptiste Louf
TBA
12 février 2026 - 11:00Salle de conférences IRMA
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Jacques-Arthur Weil
TBA
12 mars 2026 - 11:00Salle de conférences IRMA
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András Vasy
TBA
26 mars 2026 - 11:00Salle de conférences IRMA