We prove a conjecture of Viterbo from 2007 on the existence of a uniform bound on the
Lagrangian spectral norm of Hamiltonian deformations of the zero section in unit cotangent …

We develop sheaf-theoretic methods to deal with non-smooth objects in symplectic
geometry. We show the completeness of a derived category of sheaves with respect to the …

arXiv:2304.05628v1 [math.SG] 12 Apr 2023 Page 1 arXiv:2304.05628v1 [math.SG] 12 Apr 2023
BOUNDING THE LAGRANGIAN HOFER METRIC VIA BARCODES PATRICIA DIETZSCH …

We initiate the study of the $ C^ 0$ symplectic mapping class group, ie the group of isotopy
classes of symplectic homeomorphisms. We prove that none of the different powers of the …

We provide a $ C^ 0$ counterexample to the Lagrangian Arnold conjecture in the cotangent
bundle of a closed manifold. Additionally, we prove a quantitative $ h $-principle for …

In this note we discuss the collection of statements known as Arnold conjecture for
Hamiltonian diffeomorphisms of closed symplectic manifolds. We provide an overview of the …

This thesis consists of two independent parts. In the first part we study Floer cohomology of
the Dehn twist along a real Lagrangian sphere in a symplectic manifold endowed with an …

We study C0-symplectic geometry through the action of symplectic homeomorphisms on
Lagrangian submanifolds. More precisely, we initiate the study of the C0 symplectic …

The subject of this dissertation is the field of continuous, or C0, symplectic topology which
studies continuous analogues of smooth symplectic objects (eg symplectic/Hamiltonian …

Résumé Soit G un groupe p-adique se déployant sur une extension non-ramifiée. Nous
décomposons Rep0 Λ (G), la catégorie abélienne des représentations lisses de G de niveau …