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Capacities as a complete symplectic invariant

mardi 24 février 2026
16:30 - 17:30
En ligne

 

Abstract

This talk is about joint work with Yann Guggisberg. The main result is that the set of generalized symplectic capacities is a complete invariant for every symplectic category whose objects are of the form (M, ω), such that M is compact and 1-connected, ω is exact, and there exists a boundary component of M with negative helicity. This answers a question of Cieliebak, Hofer, Latschev, and Schlenk. It appears to be the first result concerning this question, except for results for manifolds of dimension 2, ellipsoids, and polydiscs in R4.

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Speaker

Fabian Ziltener is a mathematician specializing in symplectic geometry and related areas of geometry and topology. He earned his Ph.D. in mathematics from ETH Zurich, where he has also been active as a lecturer and researcher within the group for symplectic, algebraic geometry, and topology. His research focuses on topics such as symplectic vortices, Hamiltonian group actions, and coisotropic submanifolds, and his work has been published in international peer-reviewed journals. He maintains an active academic profile with contributions widely cited in the mathematical research community.

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