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Settimana 29/01/2024 - 02/02/2024
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Geometry Seminar
Date: 30th January 2024
Schedule: 14:30 - Rome Time
Where: Conference Room 1101 "C. D'Antoni"
Title: " Hyperelliptic curves and differentials "
Speaker: Luca Battistella - Università di Bologna -
Abstract:
Strata of differentials have been studied from several
perspectives, from dynamics to geometry and topology. Algebraic geometers
need compactifications. One, which is a posteriori logarithmic, was
introduced by Bainbridge--Chen--Gendron--Grushevsky--Möller in terms of
multiscale (collections of) differentials (on reducible nodal curves). This
natural compactification is unfortunately not irreducible, but they were
able to single out the main component in terms of a condition on global
residues; their proof rests on transcendental methods. I will mention a
conjecturally equivalent condition which is purely algebraic. In joint work
with Sebastian Bozlee, we give a proof of concept of this conjecture in the
case of hyperelliptic differentials. The technical core of our work is a
flexible tool for constructing hyperelliptic Gorenstein contractions of
reducible nodal curves, given a hyperelliptic tropical differential, i.e. a
suitable piecewise-linear function, on the dual graph.
This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry
Organizing Committee:
Giulio Codogni (mail to contact)
Guido Maria Lido (mail to contact)
Further Info: Click here for Geometry Page
Streaming Link (MS Teams): This seminar will be held in person
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
DIFFERENTIAL EQUATIONS SEMINAR
Date: 30th January 2024
Schedule: 16:00 - Rome Time
Where: Conference Room "R. Dal Passo"
Title: " LMean field sparse optimal control of systems with additive white noise "
Speaker: Daniele Castorina - Università di Napoli Federico II -
Abstract:
Abstract: We analyze the problem of controlling a multi-agent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a controlled system with a SDE constraint, we introduce a rigorous limit process towards an infinite dimensional optimal control problem constrained by the coupling of a system of ODE for the leaders with a McKean-Vlasov-type SDE, governing the dynamics of the prototypical follower. The latter is, under some assumptions on the distribution of the initial data, equivalent with a (nonlinear parabolic) PDE-ODE system. The derivation of the limit mean-field optimal control problem is achieved by linking the mean-field limit of the governing equations together with the Γ-limit of the cost functionals for the finite dimensional problems.
Joint work with Giacomo Ascione (SSM Napoli) and Francesco Solombrino (Napoli Federico II).<(i>
Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MATH@TOV CUP E83C18000100006
Organizing Committee:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)
Further Info and Program: Click here
Streaming Link (MS Teams): This seminar will be held in person
Eventi
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
PhD Course
Computational Topology and Topological Data Analysis
Period: 16.01.24 - 15.02.24
Schedule:
| Day | Time and Room |
|---|---|
| 16.01.24 | h:14:30/16:30 Conference Room 1200 |
| 18.01.24 | h:14:30/16:30 Conference Room 1200 |
| 23.01.24 | h:14:30/16:30 Conference Room 1200 |
| 25.01.24 | h:14:30/16:30 Conference Room 1101 "C. D'Antoni" |
| 30.01.24 | h:14:30/16:30 Conference Room 1200 |
| 01.02.24 | h:14:30/16:30 Conference Room 1200 |
| 06.02.24 | h:14:30/16:30 Conference Room 1200 |
| 08.02.24 | h:14:30/16:30 Conference Room 1200 |
| 13.02.24 | h:14:30/16:30 Conference Room 1200 |
| 15.02.24 | h:14:30/16:30 Conference Room 1200 |
Organizing Committee:
Sara Scaramuccia (Contact Mail)
Further Information: Click here for Phd Course Page and
Streaming Link (MS Teams): This seminar will be held in person