29 nov 2023
Firenze
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Care, cari,
vi scriviamo per invitarvi all'iniziativa in ricordo di Paolo de Bartolomeis che si terrà
mercoledì 29 novembre 2023 alle ore 10:00 in aula Tricerri.
Dopo un saluto in apertura del nostro direttore, Luigi Barletti, i lavori proseguiranno con il seguente orario:
10.30 “Special metrics on hypercomplex manifolds” Dott. Giovanni Gentili, Università di Firenze
11.15 Presentazione del vincitore del settimo assegno di ricerca in memoria di Paolo de Bartolomeis finanziato dalla sua famiglia
11.30 “From symplectic capacities to periodic Hamiltonian flows” Prof. Gabriele Benedetti, Vrije Universiteit Amsterdam.
In calce abbiamo riportato gli abstract delle conferenze, in allegato la locandina dell'iniziativa.
Un caro saluto,
Antonella e Fiammetta
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Giovanni Gentili
"Special metrics on hypercomplex manifolds"
Abstract: In recent years there has been an increasing interest in the search of special metrics in complex non-Kähler geometry. We shall describe what is known in the hypercomplex setting and present some new results. In particular we will define an Einstein-type condition for hyperhermitian metrics and overview its consequences. The talk is based on a work in progress in collaboration with Elia Fusi.
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Gabriele Benedetti
"From symplectic capacities to periodic Hamiltonian flows"
Abstract: Symplectic diffeomorphisms constitute the group of symmetries of Hamiltonian systems in classical mechanics. For this reason, the geometry associated with these diffeomorphisms has been the subject of intense study in the last decades. One of the breakthroughs in the field was the construction of so-called capacities, that is, non-trivial symplectic invariants measuring the size of sets in phase space. Many natural questions arise in this context: Are symplectic capacities unique? Is there any relationship between the capacity of a set and its volume? In this talk, we will present a joint work with Alberto Abbondandolo and Oliver Edtmair, where we relate such questions to Hamiltonian systems having a fully periodic flow.