Notiziario Scientifico

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

Settimana dal 24-02-2025 al 02-03-2025

Lunedì 24 febbraio 2025
Aula Picone, Dipartimento di Matematica, Sapienza Università di Roma
Scuola del periodo tematico: Statistical Mechanics and Non Equilibrium Processes
Statistical Mechanics, Nonequilibrium Processes and Probability
All information available at https://sites.google.com/view/winterschoolsapienza/home. The school is part of the activities of the Dipartimento di Eccellenza 2023-27, Project B83C23001390001 and it is co-funded by the European Union - Next Generation EU through ERC CoG KiLiM 101125162, PRIN 2022 77WX43, and by INdAM.
Per informazioni, rivolgersi a: sergio.simonella@uniroma1.it

Lunedì 24 febbraio 2025
Sala Convegni, Consiglio Nazionale delle Ricerche, sede Centrale, entrata via dei Marrucini
Giornate IAC 2025
Programma:

09.30 Welcome coffee
10:30 Introduzione ai lavori Direttore Roberto Natalini. Saluto del Direttore di Dipartimento DIITET Emilio Campana.
11:00 AdR Analisi qualitativa e numerica di modelli differenziali e stocastici per le applicazioni (Introduce: Emiliano Cristiani). Veronica Tora: Dynamics on graphs to model Alzheimer's disease. Gianluca Torrisi: Probabilistic analysis of a nonlinear Poisson autoregressive model
11:45 AdR Ottimizzazione, matematica discreta e scienza delle decisioni (Introduce: Andrea Raiconi). Nicola Apollonio: "Moments" of graphs...with homomorphisms. Andrea Raiconi: Bi-Objective Knapsack Problem with Conflicts
12:30 AdR Scienza dei dati e intelligenza artificiale per segnali e immagini (Introduce: Giuliana Ramella). Daniela De Canditiis: Fully connected neural networks in supervised machine learning. Woula Themistoclakis: A new family of polynomial wavelets for image compression
13:15 Lunch catering
14:15 AdR Modelli matematici e simulazione numerica della materia fluida, classica e quanto-relativistica (Introduce: Marco Lauricella). Isidoro González-Adalid Pemartín: Spin glasses: thinking optimization through physics. Francesca Pelusi: Thermal Convection in Emulsions: Heat Transfer Properties and Role of Droplets
15:00 Tavola rotonda "Science Diplomacy" (Modera Christine Nardini. Intervengono: Luca Galantucci, Luca Senni, Roberto Natalini, Annalisa Pascarella)
16:00 Coffee break

Info e programma finale: https://www.iac.cnr.it/giornate-iac-2025
Per informazioni, rivolgersi a: roberto.natalini@cnr.it

Lunedì 24 febbraio 2025
Ore 10:30, Online https://meet.google.com/pfr-ybhb-omd
Difesa della tesi di dottorato
Chetan Vuppulury (Dipartimento di Matematica, Sapienza Università di Roma)
Projective 2-representations and 2d TQFTs
The Thesis revolves around the interaction between projective 2-representations of 2-categories and 2-dimensional topological quantum field theories with defects. On the one hand, the language of projective 2-representations precisely encodes the notion of anomalous TQFT. On the other hand, the language of 2d TQFT with defects allows one to efficiently perform constructions valid for projective 2- representations of arbitrary 2-categories.
Per informazioni, rivolgersi a: domenico.fiorenza@uniroma1.it

Lunedì 24 febbraio 2025
Ore 14:30, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Analisi Matematica
Annalisa Cesaroni (Università di Padova)
Self-organizing equilibria in a Kuramoto mean field game
I will discuss a mean field game model on the synchronization of coupled oscillators, initially proposed by Yin, Mehta, Meyn, and Shanbhag, and recently examined by Carmona, Cormier, and Soner. This model aims to study phase transitions in non-cooperative dynamic games involving a large number of agents. I will present a recent result obtained on this model in collaboration with Marco Cirant (University of Padova). Our work focuses on characterizing synchronized equilibria and their local dynamic stability. This seminar is part of the activities of the Excellence Department Project CUP B83C23001390001 and it is funded by the European Union – Next Generation EU.
Per informazioni, rivolgersi a: azahara.delatorrepedraza@uniroma1.it

Martedì 25 febbraio 2025
Aula Picone, Dipartimento di Matematica, Sapienza Università di Roma
Scuola del periodo tematico: Statistical Mechanics and Non Equilibrium Processes
Statistical Mechanics, Nonequilibrium Processes and Probability
All information available at https://sites.google.com/view/winterschoolsapienza/home. The school is part of the activities of the Dipartimento di Eccellenza 2023-27, Project B83C23001390001 and it is co-funded by the European Union - Next Generation EU through ERC CoG KiLiM 101125162, PRIN 2022 77WX43, and by INdAM.
Per informazioni, rivolgersi a: sergio.simonella@uniroma1.it

Martedì 25 febbraio 2025
Sala Convegni, Consiglio Nazionale delle Ricerche, sede Centrale, entrata via dei Marrucini
Giornate IAC 2025
Programma:

09:00 AdR Matematica per l'ambiente (Introduce: Fasma Diele). Andrea Scagliarini: Multiscale approach to sea ice thermodynamics: new insights for melt pond parametrisation in climate models. Maria Francesca Carfora: Preprocessing of PRISMA hyperspectral images: noise characterization and reduction, cloud detection, preliminary land classification
09:45 AdR Matematica per la salute e le scienze biomediche (Introduce: Christine Nardini). Italia De Feis: Survival analysis: high dimensionality and data integration. Alessandro Ravoni: Simulating cancer therapy in an agent-based model of the immune response: the case of hepatoblastoma
10:30 Coffee break
11:00 AdR Metodi matematici per la diagnosi e la salvaguardia dei beni culturali (Introduce: Gabriella Bretti). Elia Onofri: Models and Methods in Cultural Heritage: The Open-Science StoneVerse platform. Mario Pezzella: Mathematical and Numerical Modeling of Photochemical Degradation in Paintings
11:45 AdR Modelli, algoritmi e software per data analytics, HPC e cybersecurity (Introduce: Flavio Lombardi). Alessandro Celestini: Searching for critical nodes in digraphs. Stefano Guarino: Communities, behaviour and epidemic spread: insights from the CODE project
12:30 Tavola rotonda "Reproducibility, explicability and epistemology in the age of AI: a new paradigm for scientific research?" (Moderano Flavio Lombardi e Giuliana Ramella. Intervengono: Giovanni Franzina, Clara Punzi, Mario Santoro)
13:30 Lunch catering
14:30 AdR Attività di comunicazione, supporto alla ricerca, valorizzazione e valutazione dei risultati (Introduce: Stefania Giuffrida). Stefania Giuffrida: Promotion and evaluation of research activities of CNR IAC. Maria Francesca Carfora: The dissemination activities of the IAC Naples
15:15 Ricordo di Maurizio Ceseri
16:00 Conclusioni

Info e programma finale: https://www.iac.cnr.it/giornate-iac-2025
Per informazioni, rivolgersi a: roberto.natalini@cnr.it

Martedì 25 febbraio 2025
Ore 10:00, Aula Seminari RM004, Via A. Scarpa 16, Dipartimento SBAI, Sapienza
PhD Course
Davide Buoso (U. Piemonte Orientale) - Luigi Provenzano (Sapienza) (U. Piemonte Orientale - Sapienza)
Spectral Geometry
In the first part of the course we will provide a brief introduction to the spectrum of the Laplacian on Euclidean domains and Riemannian manifolds, along with a few basic examples, and their relations with physical phenomena (waves and vibrations). Then, we will focus on some classical problems in spectral geometry, such as eigenvalue bounds and isoperimetric inequalities for the eigenvalues. The questions that we will address are the following: how does the geometry and the topology of the ambient space influence the spectrum (the eigenvalues)? On the other hand, what information can give the knowledge of the spectrum on the geometry and topology of the ambient space? We will present a few classical techniques which have been adopted throughout the years to address these questions. In the final part of the course (if time allows) we will consider some recent developments on old and new problems, and we will present some open questions.
Per informazioni, rivolgersi a: luigi.provenzano@uniroma1.it

Martedì 25 febbraio 2025
Ore 14:30, Aula Dal Passo, Dipartimento di Matematica, Università di Roma "Tor Vergata"
Seminario di Analisi Matematica
Dimitri Mugnai (Università della Tuscia)
Mixed operators in peridynamics
We present some recent results concerning elliptic and evolution problems driven by mixed operators, which are the sum of local and nonlocal ones under a peridynamical approach, as introduced by Silling few years ago.
NB: This talk is part of the activity of the MUR Excellence Department Project MATH@TOV CUP E83C23000330006
Per informazioni, rivolgersi a: molle@mat.uniroma2.it

Martedì 25 febbraio 2025
Ore 14:30, aula d'Antoni, Dipartimento di Matematica, Università di Roma Tor Vergata
seminario di Geometria
Pim Spelier (Utrecht University)
Gluing tropical curves and logarithmic curves, and logarithmic Gromov-Witten invariants
The gluing maps on the moduli space of curves are integral to much of the enumerative geometry of curves. For example, Gromov-Witten invariants satisfy recursive relations with respect to the gluing maps. For log Gromov-Witten invariants, counting curves with tangency conditions, this fails at the very first step as logarithmic curves cannot be glued, by a simple tropical obstruction. I will describe a certain logarithmic enhancement of M_{g,n} from joint work with David Holmes that does admit gluing maps. With this enhancement, we can geometrically see a recursive structure appearing in log Gromov-Witten invariants. I will present how this leads to a pullback formula for the log double ramification cycle (roughly a log Gromov-Witten invariant of P^1). Time permitting, I will sketch how this extends to general log Gromov-Witten invariants (joint work with Leo Herr and David Holmes). This story tropicalises by replacing log curves with tropical curves (metrised dual graphs) and algebraic geometry by polyhedral geometry. In this language both the logarithmic enhancement and the recursive structure admit a simpler formulation. I will keep this tropical story central throughout.
Per informazioni, rivolgersi a: guidomaria.lido@gmail.com

Martedì 25 febbraio 2025
Ore 16:00, Aula B, Dipartimento di Matematica e Fisica, Università di Roma Tre, Via della Vasca Navale 84
seminario di Fisica della Materia
Lorenzo del Re (Università di Wuerzburg)
Collective Modes and Correlation Effects in Magnetic Phases of the Hubbard Model
Spontaneous symmetry breaking in interacting fermionic systems leads to a proliferation of independent scattering channels, making the treatment of many-body effects particularly challenging. In this talk, I present two complementary studies addressing the interplay between magnetism, strong correlations, and emergent spectral features in broken symmetry phases of the Hubbard model. First, I introduce an extension of the Two-Particle-Self-Consistent approach (TPSC) to efficiently describe SU(2)-broken magnetic phases. Applied to the antiferromagnetic phase of the Hubbard model, this framework enforces sum rules while preserving Goldstone modes and incorporating vertex corrections. These corrections play a crucial role in renormalizing the Higgs resonance, which we identify as a well-defined excitation in the spin-longitudinal susceptibility. Next, I turn to a variant of the Hubbard model that hosts altermagnetic states—magnetic phases that exhibit Dirac-like band structures. Using a combination of Hartree-Fock and Dynamical Mean Field Theory (DMFT), we show that interaction effects can induce unexpected spectral features, including the re-emergence of Dirac points at high energies near Mott insulating regimes. Additionally, we explore how perturbations can drive topological phase transitions, offering a route to engineer non-trivial electronic states.

Mercoledì 26 febbraio 2025
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Scuola del periodo tematico: Statistical Mechanics and Non Equilibrium Processes
Statistical Mechanics, Nonequilibrium Processes and Probability
All information available at https://sites.google.com/view/winterschoolsapienza/home. The school is part of the activities of the Dipartimento di Eccellenza 2023-27, Project B83C23001390001 and it is co-funded by the European Union - Next Generation EU through ERC CoG KiLiM 101125162, PRIN 2022 77WX43, and by INdAM.
Per informazioni, rivolgersi a: sergio.simonella@uniroma1.it

Mercoledì 26 febbraio 2025
Ore 10:00, Aula Seminari, RM004, Via A. Scarpa 16, Dipartimento SBAI
PhD Course
Davide Buoso (U. Piemonte Orientale) - Luigi Provenzano (Sapienza) (U. Piemonte Orientale - Sapienza)
Spectral Geometry - Lecture 2
In the first part of the course we will provide a brief introduction to the spectrum of the Laplacian on Euclidean domains and Riemannian manifolds, along with a few basic examples, and their relations with physical phenomena (waves and vibrations). Then, we will focus on some classical problems in spectral geometry, such as eigenvalue bounds and isoperimetric inequalities for the eigenvalues. The questions that we will address are the following: how does the geometry and the topology of the ambient space influence the spectrum (the eigenvalues)? On the other hand, what information can give the knowledge of the spectrum on the geometry and topology of the ambient space? We will present a few classical techniques which have been adopted throughout the years to address these questions. In the final part of the course (if time allows) we will consider some recent developments on old and new problems, and we will present some open questions (next lectures: Feb 27 and Feb 28, 10 AM, Aula Seminari).
Per informazioni, rivolgersi a: luigi.provenzano@uniroma1.it

Mercoledì 26 febbraio 2025
Ore 14:00, Aula F, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Nicola Cavallucci (EPFL Lausanne)
Rigidity theorems for CAT(0) spaces
I will present some rigidity theorems about cocompact CAT(0)-spaces. For instance, I will show that if a cocompact CAT(0) space is close enough to a Euclidean space, then it is isometric to it. In the first part of the talk I will define all the objects and I will provide examples. In the second part I will sketch some proof, using a careful analysis of converging sequences of cocompact CAT(0) spaces and of the groups acting on them. The talk is partially based on joint works with Andrea Sambusetti.

Giovedì 27 febbraio 2025
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Scuola del periodo tematico: Statistical Mechanics and Non Equilibrium Processes
Statistical Mechanics, Nonequilibrium Processes and Probability
All information available at https://sites.google.com/view/winterschoolsapienza/home. The school is part of the activities of the Dipartimento di Eccellenza 2023-27, Project B83C23001390001 and it is co-funded by the European Union - Next Generation EU through ERC CoG KiLiM 101125162, PRIN 2022 77WX43, and by INdAM.
Per informazioni, rivolgersi a: sergio.simonella@uniroma1.it

Giovedì 27 febbraio 2025
Ore 14:15, Aula B, Dipartimento di Matematica e Fisica, Università Roma Tre
Seminario di Geometria
Massimiliano Pontecorvo (Roma Tre)
Bi-Hermitian surfaces
We will discuss a classification of four-dimensional Riemannian manifolds \( (M^4,g)\) admitting two or more complex structures which are \(g\)-orthogonal, inducing the same orientation.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it

Venerdì 28 febbraio 2025
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Scuola del periodo tematico: Statistical Mechanics and Non Equilibrium Processes
Statistical Mechanics, Nonequilibrium Processes and Probability
All information available at https://sites.google.com/view/winterschoolsapienza/home. The school is part of the activities of the Dipartimento di Eccellenza 2023-27, Project B83C23001390001 and it is co-funded by the European Union - Next Generation EU through ERC CoG KiLiM 101125162, PRIN 2022 77WX43, and by INdAM.
Per informazioni, rivolgersi a: sergio.simonella@uniroma1.it

Venerdì 28 febbraio 2025
Ore 14:30, Aula Dal Passo, Dipartimento di Matematica, U Roma Tor Vergata
Joint Topology & Algebra and Representation Theory Seminar (T-ARTS)
Andrea Pizzi (U Roma Tor Vergata)
(Multi-)Simplicial methods for Configuration Space Recognition
The goal of this talk is to algebraically model the S_r-equivariant homotopy type of the configuration space of r labeled and distinct points in d-dimensional Euclidean space. I will present and compare two models: the Barratt-Eccles simplicial set and the multisimplicial set of 'surjections'. I will introduce multisimplicial sets and discuss their connection to more well-known simplicial sets. Multisimplicial sets can model homotopy types using fewer cells, making them a highly useful tool. Following this, we will explore in detail how to recognize configuration spaces in the aforementioned models by playing with a graph poset. An explicit relationship between the models will also be presented. This is a joint work with Anibal M. Medina-Mardones and Paolo Salvatore.

Venerdì 28 febbraio 2025
Ore 16:00, Aula Dal Passo, Dipartimento di Matematica, U Roma Tor Vergata
Algebra and Representation Theory Seminar (ARTS)
Damien Simon (U Paris Saclay)
Chiral differential operators on a reductive group and representation theory
Vertex algebras of chiral differential operators on a complex reductive group G are "Kac-Moody" versions of the usual algebra of differential operators on G. Their categories of modules are especially interesting because they are related to the theory of D-modules on the loop group of G. That allows one to reformulate some conjectures of the (quantum) geometric Langlands program in the language of vertex algebras. For instance, in view of the geometric Satake equivalence, one may expect the appearance of the category of representations of the Langlands dual group of G. In this talk, I will define this family of vertex algebras and we will see that they are classified by a certain parameter called level. Then, for generic levels, we will see that "to find" the Langlands dual group, it is necessary to perform a quantum Hamiltonian reduction. Finally, I will build simple modules on the closely related equivariant W-algebra that match the combinatorics of the Langlands dual group.

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