Séminaire Analyse
organisé par l'équipe Analyse
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Florent Dupont
Chern classes of the multilayer fractional quantum Hall bundle on Riemann surfaces
19 mars 2026 - 11:00Salle de conférences IRMA
The so-called multilayer wave functions are an ansatz proposed by physicists to study strongly interacting charged particles distributed on multiple layers in a material. When each layer is a copy of a complex curve of genus g, these functions give rise to a vector bundle over the Picard group of the curve. Its geometric properties such as rank, Chern character, and projective flatness determine measurable physical characteristics. In this talk, we will show how to construct such a vector bundle and compute its Chern character for arbitrary genus using the Grothendieck-Riemann-Roch formula, as well as combinatorial techniques, namely Berezin integration and Wick’s formula for exterior algebras. This is joint work with Maria Abad Aldonza. -
András Vasy
Spectral theory for Dirac type operators on asymptotically Minkowski spaces and the spectral action principle in Lorentzian signature
26 mars 2026 - 11:00Salle de conférences IRMA
I will discuss a microlocal analysis approach to spectral theory on asymptotically Minkowski spaces both for scalar wave operators and also for Dirac type operators. This in turn gives rise to complex powers of the operators, allowing for the analysis of a spectral zeta function, relating its residues to geometric information. This is joint work with Nguyen Viet Dang and Michal Wrochna, with ongoing work on extensions also with Mikhail Molodyk. -
Palmirotta Gwenda
TBA
2 avril 2026 - 11:00Salle de conférences IRMA
TBA -
Stéphane Mischler
TBA
9 avril 2026 - 11:00Salle de conférences IRMA
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Victor Le Guilloux
TBA
30 avril 2026 - 11:00Salle de conférences IRMA
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Anatole Gaudin
TBA
11 juin 2026 - 11:00Salle de conférences IRMA