Notiziario Scientifico

Notiziario dei seminari di carattere matematico
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Settimana dal 14-02-2022 al 20-02-2022

Martedì 15 febbraio 2022
Ore 14:30, Aula Dal Passo, Dipartimento di Matematica, Universita' di Roma Tor Vergata
Seminario di Geometria
Luca De Feo (IBM Zurich)
Isogeny based cryptography
Le isogenie sono morfismi di varietà abeliane. La loro teoria algoritmica è sviluppata da oltre 30 anni, motivata in parte dall'algoritmo di Schoof-Elkies-Atkin per il conteggio di punti, algoritmo fondamentale in crittografia ellittica. I progressi algoritmici hanno portato negli ultimi 20 anni allo sviluppo di una nuova branca della crittografia, detta a base d'isogenie. L'oggetto centrale di questa disciplina non è più una curva ellittica isolata, bensì un grafo di curve ellittiche legate da isogenie. I grafi d'isogenie esibiscono diverse strutture combinatorie interessanti (foreste, grafi di Cayeley, grafi espansori), e offrono dei problemi computazionalmente difficili come la ricerca di cammini. Su queste basi, siamo oggi in misura di costruire un vasto spettro di primitive crittografiche: cifratura e firma digitale resistenti agli attacchi quantistici, crittografia a orologeria, sistemi a soglia, ecc. In questo talk, darò un'introduzione alla teoria delle isogenie di curve ellittiche su corpi finiti, e spiegherò come la crittografia è costruita a partire da esse.
Per informazioni, rivolgersi a: onorati@mat.uniroma2.it

Martedì 15 febbraio 2022
Ore 15:00, Sala Consiglio e via zoom ID riunione: 867 4440 2839 Passcode: MDN, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Modellistica Differenziale Numerica
Elisa Calzola (Dottorato in Matematica Sapienza e Università di Verona)
Semi-Lagrangian schemes for parabolic equations: second order accuracy and boundary conditions
Parabolic partial differential equations are used to describe a wide variety of time-dependent phenomena, arising in a number of important physical problems. The aim of this talk is to present some semi-Lagrangian methods to approximate their solutions in some specific settings. First, we introduce a second order semi-Lagrangian method for advection-diffusion-reaction systems of equations on bounded domains, with Dirichlet boundary conditions. Afterwards, we present a first order semi-Lagrangian technique for approximating the solution to Hamilton-Jacobi-Bellman equations on bounded domains, with Neumann-type boundary conditions. Finally, we present a Lagrange-Galerkin approximation of the Fokker-Planck equation, and we show how to apply such a method to obtain a second-order accurate solution to Mean Field Games.
Per informazioni, rivolgersi a: carlini@mat.uniroma1.it

Martedì 15 febbraio 2022
Ore 16:00, Aula "Dal Passo" and Online seminar on this link. , Dipartimento di Matematica, Università di Roma "Tor Vergata"
Seminario di Analisi Matematica
Nicolas Augier (CNRS-LAAS, Toulouse)
On the use of quasi-static controls and duplication of controls for quantum systems
In a first part of the talk, I will present some geometric techniques allowing to control quantum systems using slowly-varying controls, in the so-called adiabatic regime. The latter provides strong control results only when the system is driven by at least two controls, which is a strong requirement in practice. The second part of the talk will be dedicated to an averaging approximation (Rotating Wave Approximation) which allows to duplicate controls in this setting.
NB:This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006
Per informazioni, rivolgersi a: molle@mat.uniroma2.it

Mercoledì 16 febbraio 2022
Sala del chiostro, San Pietro in vincoli, Via Eudossiana 18, Roma
Workshop PDEs in presence in Rome 2022
Programma:

9.00-9.35 Maria Medina (Univ. Aut. de Madrid) Interacting helical traveling waves for the Gross-Pitaevskii equation
9.40-10.15 Matteo Cozzi (Univ. di Milano) An elliptic boundary value problem with fractional nonlinearity
10.20-10.55 Giovanni Eugenio Comi (Univ. di Pisa) Leibniz rules in distributional fractional spaces
Coffee Break
11.30-12.05 Alessandro Goffi (Univ. di Padova) Nonlinear Liouville theorems: old and new
12.10-12.45 Claudia García (Univ. de Barcelona) Time periodic solutions for the 3D quasi-geostrophic system
14.15-14.50 Luigi Montoro (Univ. della Calabria) Monotonicity of solutions to \(-\Delta_p u = f(u)\) in half-spaces with changing-sign nonlinearity
14.55-15.30 Salvador López Martínez (Univ. Aut. de Madrid) Dark solitons for the nonlocal Gross-Pitaevskii equation
15.35-16.10 Martina Magliocca (Éc. Nor. Sup. Paris-Saclay) The regularizing effect of superlinear terms in Elliptic and Parabolic Equations
Coffee Break
16.40-17.15 Stefano Buccheri (Univ. of Vienna) Some nonlocal operators coming from the hydrodynamic limit of a kinetic model
17.20-17.55 Alessia Nota (Univ. dell’Aquila) Stationary non-equilibrium solutions for coagulation equations

Per maggiori informazioni: https://sites.google.com/view/pdesinrome2022/

Mercoledì 16 febbraio 2022
Ore 14:30, Canale Youtube dell'IAC https://www.youtube.com/watch?v=v8J0C5lO4dc, Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche
Seminari generali IAC 2022
Pierluigi Contucci (Dipartimento di Matematica - Università di Bologna)
Disorder and fluctuations: from coin tossing to Parisi's complexity theory
Parisi's theory of complexity, for which the author was recently awarded the Nobel Prize in physics, is based on his prodigious solution of the Sherrington and Kirkpatrick model. From his birth, more than forty years ago, up to the present day, that theory has been progressively placed on a mathematically rigorous basis. The conference, aimed at the hard science scholars, will present its main results with a mathematical-physics language emphasizing how it has identified a new paradigm within the critical collective phenomena of complex systems.
Per informazioni, rivolgersi a: briani@iac.rm.cnr.it

Mercoledì 16 febbraio 2022
Ore 15:00 (attenzione al cambio eccezionale di orario!), Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Algebra e Geometria
Ariyan Javanpeykar (Johannes Gutenberg-Universität)
The conjectures of Lang and Vojta
Why do some polynomial equations have only finitely many solutions in the integers? Lang-Vojta's conjecture provides a conjectural answer and relates this number-theoretic question to complex geometry. Indeed, conjecturally, a variety has only finitely many rational points if and only if it is hyperbolic. I will start out this talk explaining the Lang-Vojta conjectures, and will then present new results on dynamical systems of hyperbolic varieties, rational points on ramified covers of abelian varieties, the fundamental group of a variety covered by many pointed curves, and rigidity results for families of canonically polarized varieties. These results are mathematically independent, but all guided by the conjectures of Lang-Vojta.
Per informazioni, rivolgersi a: diverio@mat.uniroma1.it

Giovedì 17 febbraio 2022
Sala del chiostro, San Pietro in vincoli, Via Eudossiana 18, Roma
Workshop PDEs in presence in Rome 2022
Programma:

9.00-9.35 Marco Cirant (Univ. di Padova) Holder and maximal regularity for Hamilton-Jacobi equations
9.40-10.15 Xavier Fernández Real (EPFL) Optimal regularity for the fully nonlinear thin obstacle problem
10.20-10.55 Francesca Colasuonno (Univ. di Bologna) Two solutions on a Nehari set to a supercritical Neumann problem
Coffee Break
11.30-12.05 Giulia Meglioli (Politecnico di Milano) Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds
12.10-12.45 Alejandro Ortega García (Univ. Carlos III de Madrid) Some results on fractional PDEs with mixed Dirichlet-Neumann boundary conditions
14.15-14.50 Francesco Della Pietra (Univ. degli studi di Napoli “Federico II”) On the behaviour of the first eigenvalue of the p-Laplacian with Robin boundary conditions as p goes to 1
14.55-15.30 Diego Alonso (Univ. of Bonn) Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data
15.35-16.10 Riccardo Durastanti (Univ. degli studi di Napoli “Federico II”) Spreading equilibria under mildly singular potentials: pancakes versus droplets
Coffee Break
16.40-17.15 Felix Del Teso (Univ. Aut. de Madrid) On asymptotic expansions and approximation schemes for the p-Laplacian
17.20-17.55 Iwona Chlebicka (Univ. of Warsaw) Potential estimates for scalar and vectorial problems with general growth

Per maggiori informazioni: https://sites.google.com/view/pdesinrome2022/

Giovedì 17 febbraio 2022
Ore 10:00, Aula M2, Dipartimento di Matematica, Università Roma Tre
Seminario di Geometria
Ariyan Javapeykar (Mainz)
The conjectures of Lang and Vojta
Why do some polynomial equations have only finitely many solutions in the integers? Lang-Vojta's conjecture provides a conjectural answer and relates this number-theoretic question to complex geometry. Indeed, conjecturally, a variety has only finitely many rational points if and only if it is hyperbolic. I will start out this talk explaining the Lang-Vojta conjectures, and will then present new results on dynamical systems of hyperbolic varieties, rational points on ramified covers of abelian varieties, the fundamental group of a variety covered by many pointed curves, and rigidity results for families of canonically polarised varieties. These results are mathematically independent, but all guided by the conjectures of Lang-Vojta.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it

Venerdì 18 febbraio 2022
Sala del chiostro, San Pietro in vincoli, Via Eudossiana 18, Roma
Workshop PDEs in presence in Rome 2022
Programma:

9.00-9.35 Xavier Ros-Oton (ICREA) Optimal regularity for supercritical parabolic obstacle problems
9.40-10.15 Flavia Smarrazzo (Campus Biomedico-Roma) First order scalar conservation laws with singular initial data
10.20-10.55 Antonio J. Fernández Sanchez (ICMAT) Desingularization of vortices for the generalized SQG equations
Coffee Break
11.30-12.05 Gloria Paoli (Univ. degli studi di Napoli “Federico II”) Sharp and quantitative estimates for the p-Torsion of convex sets
12.10-12.45 Marcos Solera (Univ. de Valencia) Nonlinear diffusion problems in random walk spaces
Lunch
14.15-14.50 Cristiana De Filippis (Univ. di Parma) Perturbations beyond Schauder
14.55-15.30 Nicola Soave (Politecnico di Milano) On unique continuation principles for some elliptic systems
Closing Coffee Break

Per maggiori informazioni: https://sites.google.com/view/pdesinrome2022/

Venerdì 18 febbraio 2022 *** SEMINARIO ANNULLATO ***
Ore 12:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario MoMA
Francisco Facchinei (Sapienza Università di Roma)
Newton's method: past, present and a bit of future
We review recent developments in Newton's method. Newton's method for the solution of systems of equations has a long and glorious history; after reviewing it we describe the latest advancements aimed at dealing with nonsmooth functions and non-isolated solutions. These developments are at the core of many successful applications of the method in a wide range of interesting contemporary problems which, in turn, offered the motivation for studying new methods expanding the range of applicability of Newton's basic algorithm.

Venerdì 18 febbraio 2022
Ore 16:30, Il seminario sarà tenuto in modalità telematica, Chi è interessato a partecipare può rivolgersi a alessandro.gambini@uniroma1.it
Seminari PLS per insegnanti
Giovanni Organtini (Sapienza Università di Roma)
Laboratorio di matematica (e fisica) con Arduino

Le comunicazioni relative a seminari da includere in questo notiziario devono pervenire esclusivamente mediante apposita form da compilare online, entro le ore 24 del giovedì precedente la settimana interessata. Le comunicazioni pervenute in ritardo saranno ignorate. Per informazioni, rivolgersi all'indirizzo di posta elettronica seminari@mat.uniroma1.it.
Coloro che desiderano ricevere questo notiziario via e-mail sono pregati di comunicare il proprio indirizzo di posta elettronica a seminari@mat.uniroma1.it.