Francesco Morabito

Index

At the moment, I am interested in the interplay between low-dimensional topological properties of orbits of Hamiltonian systems, Hofer geometry and Floer Homology. Here is the slide I wrote for a lightning talk in Budapest about a result of mine. Methods I apply include Generating Functions homology, Hamiltonian and Lagrangian Floer homology, together with their filtered structures.

Publications & Preprints

Hamiltonian Braids via Generating Functions, arXiv:2410.06495
Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus Joint with Ibrahim Trifa, arXiv:2404.01052
Link Floer Homology and a Hofer Pseudometric on Braids, arxiv:2301.08105, to appear in the Journal of Symplectic Geometry

Unpublished

My doctoral dissertation: Braids in Low-Dimensional Hamiltonian Dynamics
My M2 thesis: Floer and Morse Homology via Generating Functions
My Bachelor's thesis: Fast-Slow Systems and Bifurcations in Neuroscience

Where I will be

Symplectic Dynamics and Topology, Cetraro, Italy, 16/06/2025-20/06/2025

Where I was

Symplectic Dynamics in Aachen, RWTH Aachen, Aachen, Germany, 16/09/2024-20/09/2024
From Hamiltonian Dynamics to Symplectic Topology and Beyond. A 2024 celebration of Claude Viterbo and his mathematics, Institut Henri Poincaré, Paris, France, 03/06/2024-07/06/2024
Floer Homotopy Theory Spring School, Grand-Varennes, Serbonnes, France, 29/04/2024-03/05/2024 (co-organised with Amanda Hirschi)
Symplectic Dynamics in Montevideo, UDELAR, Montevideo, Uruguay, 05/09/2024-09/02/2024
SFT X - Workshop on Symplectic Field Theory X, Humboldt Universität zu Berlin, Berlin, Germany, 26/08/2023-01/09/2023
From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications, CIRM, Marseille, France, 03/07/2023-07/07/2023
LP-60: Geometry and Dynamics. A Conference in Honour of Leonid Polterovich, ETH, Zürich, Switzerland, 26/06/2023-30/06/2023
Persistence Homology in Symplectic and Contact Topology, Institut National Universitaire Champollion, Albi, France, 12/06/2023-16/06/2023
Symplectic Dynamics-INdAM Meeting, Instituto Nazionale di Alta Matematica, Rome, Italy, 22/05/2023-26/05/2023
Winter school in singularities and low dimensional topology, Rényi Institute, Budapest, Hungary, 23/01/2023-27/01/2023
Two days in Symplectic Dynamics, ENS de Lyon, France, 29/09/2022-30/09/2022
Giroux60, IHP, Paris, France, 04/07/2022-08/07/2022
Frontiers of Quantitative Symplectic and Contact Geometry, Institut Mittag-Leffler, Djursholm, Sweden, 27/06/2022-01/07/2022
Braids in Low Dimensional Topology, ICERM, Providence, RI, 25/04/2022-29/04/2022
Braids in Symplectic and Algebraic Geometry, ICERM, Providence, RI, 21/03/2022-25/03/2022
Hyperbolic and Symplectic Dynamics, Rurh-Universität Bochum, Germany, 20/09/2021-24/09/2021
Symplectic 2021, Institut Henri Poincaré, Paris, France, 19/04/2021-21/05/2021