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Notiziario Scientifico
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma
Settimana dal 02-06-2025 al 08-06-2025
Martedì 3 giugno 2025
Ore 9:00, Aula videoconferenze, Dipartimento di Ingegneria Meccanica e Aerospaziale (DIMA), via Eudossiana 18
PhD Course - First Lecture
Claude Boutin (École Nationale des Travaux Publics de l'État (ENTPE), Université de Lyon)
Homogenisation
Introduction to asymptotic methods: general, example: from continuum mechanics to beam theory. Methods of change of scale: general information on heterogeneous media, representative elementary volume and separation of scale, overview of methods, periodic homogenisation method, mathematical formulation of the change of scale, physical analysis and dimensionless formulation. Diffusion in heterogeneous media: determination of the effective heat transfer parameter, comparison/discussion on self-consistent approach. Elastic composites: determination of effective elastic parameters, dynamics of composites, strong contrasted composites. Darcy's law in porous media: assumptions and dimensioning, from Navier-Stokes to Darcy, extensions of Darcy's law, application to acoustics. Homogenization of discrete media: principle, 2D-beam array, effective beam models. Synthesis and supplements: large deformations, beyond scale separation.
Per informazioni, rivolgersi a: alberto.bersani@sbai.uniroma1.it
Martedì 3 giugno 2025
Ore 10:30, sala conferenze. INdAM Piazzale Aldo Moro 5, Roma
LYSeMinar
Guido Carlet (Institut de Mathématiques de Bourgogne, Dijon, France)
From the Givental descendent potential for Hurwitz-Frobenius manifolds to Hirota and Lax equations: looking for the Dubrovin-Zhang hierarchies
We review some topics in the quest for the integrable hierarchies governing the generating functions of certain enumerative invariants: from the seminal result of Witten-Kontsevich, to the Givental quantization formula for the total descendent potential, to the Givental-Milanov-Tseng scheme to derive the associated Hirota equations. We will focus on some recent results concerning the total descendent potential of a class of genus-zero Hurwitz-Frobenius manifolds.
Per informazioni: https://www.altamatematica.it/lysm/lyseminar/
Martedì 3 giugno 2025
Ore 11:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
corso di Dottorato
Tomaž Prosen (University of Ljubljana)
Chaos and integrability in open and driven quantum many-body systems
The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. First lecture. I will discuss empirical diagnostics of quantum chaos of open quantum systems and present tenfold way of symmetry classification of the corresponding Liouvillians.
Per informazioni, rivolgersi a: basile@mat.uniroma1.it, carlo.presilla@uniroma1.it
Martedì 3 giugno 2025
Ore 14:00, Sala Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di calcolo delle probabilità
Giorgio Cipolloni (University of Arizona)
Logarithmically correlated fields from non-Hermitian random matrices
We study the Brownian evolution of large non-Hermitian matrices and show that their log-determinant converges to a 2+1 dimensional Gaussian field in the Edwards-Wilkinson regularity class, i.e. logarithmically correlated for the parabolic distance. This gives a dynamical extension of the celebrated result by Rider and Virag (2006) proving that the fluctuations of the eigenvalues of Gaussian non-Hermitian matrices converge to a 2 dimensional log-correlated field. Our result, previously not known even in the Gaussian case, holds out of equilibrium for general matrices with i.i.d. entries. We also study the extremal values of these fields and demonstrate their logarithmic dependence on the matrix dimension.
Martedì 3 giugno 2025
Ore 14:30, aula d'Antoni, Dipartimento di Matematica, Università di Roma Tor Vergata
Geometry and Number Theory seminar
Navid Nabijou (Queen Mary University of London)
Logarithms, orbifolds, negative tangencies
Logarithmic and orbifold structures provide two different paths to the enumeration of algebraic curves with fixed tangencies along a normal crossings divisor. Simple examples demonstrate that the resulting systems of invariants differ, but a more structural explanation of this defect has remained elusive. I will explain how the two systems of invariants can be identified by passing to an appropriate blowup. This identifies "birational invariance" as the key property distinguishing the two theories. Our proof hinges on a technique – rank reduction – for reducing questions about normal crossings divisors to questions about smooth divisors. Time permitting, I will discuss extensions of this result to the setting of negative tangencies, where the pathological geometry of the moduli space is controlled using tropical geometry. This is joint work with Luca Battistella and Dhruv Ranganathan.
Per informazioni, rivolgersi a: guidomaria.lido@gmail.com
Mercoledì 4 giugno 2025
Ore 11:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
corso di Dottorato
Tomaž Prosen (University of Ljubljana)
Chaos and integrability in open and driven quantum many-body systems
The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Second lecture. I will discuss Yang-Baxter integrability of open quantum systems and present some simple examples.
Mercoledì 4 giugno 2025
Ore 13:00, Aula Picone, Dipartimento di Matematica, Sapienza Università di Roma
Seminario del ciclo MATHtalks
Riccardo Colucci (Sapienza Università di Roma)
Geometria iperbolica e superfici
Cosa succede se rimuoviamo l'assioma delle parallele dalla geometria euclidea? Scopriamo un nuovo ricchissimo mondo in cui tante cose amene accadono: rette parallele divergono all'infinito, i triangoli sono completamente determinati dall'ampiezza dei loro angoli e le omotetie non cambiano l'area delle figure. Nella prima parte di questo seminario introdurremo il modello del piano iperbolico impiegando un approccio sintetico e ne illustreremo le principali proprietà. Nella seconda parte illustreremo come l'interazione tra topologia e geometria sia eccezionalmente ricca in geometria iperbolica. Ripasseremo la classificazione topologica delle superfici chiuse orientabili in base al genere e ne studieremo la geometrizzazione: vedremo quali di esse, e perché, ammettono una cosiddetta metrica iperbolica e scopriremo come "contare" tali metriche introducendo rudimentalmente lo spazio di Teichmuller di una superficie chiusa orientabile.
Per informazioni, rivolgersi a: MATHtalks@uniroma1.it
Mercoledì 4 giugno 2025
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Andrea Appel (Università di Parma)
The R-matrix for affine Yangians
The theory of Yangians was introduced by Drinfeld in the 1980s as a systematic approach to solving the Yang-Baxter equation: every irreducible finite-dimensional representation is equipped with a rational R-matrix obtained by normalising the action of a universal R-matrix. In this talk, I will provide a generalisation of this result for Yangians of affine type and their representations in category O. - This seminar is part of the activities of the Project PRIN 2022S8SSW2 funded by the European Union – Next Generation EU.
Mercoledì 4 giugno 2025
Ore 16:00, Aula 1B1, Dipartimento SBAI, Sapienza Università di Roma
Seminario di Geometria
Dong-Hwi Seo (Universita' dell'Aquila)
Free boundary minimal surfaces in a ball and eigenvalue problems
Eigenvalue problems have played a pivotal role in the study of minimal surface theory. In this talk, I will provide an overview, starting with basic concepts and progressing to recent developments. Specifically, I will explain free boundary minimal surfaces in the unit ball and their connection to the Steklov eigenvalue problem. Key conjectures in this area will be highlighted, along with a discussion of my recent contribution.
Per informazioni, rivolgersi a: alessandro.savo@uniroma1.it
Mercoledì 4 giugno 2025
Ore 16:00, Aula dal Passo, Dipartimento di Matematica, Università di Roma Tor Vergata
Colloquium CMTP
Antti Knowles (Université de Genève)
Euclidean field theories and interacting Bose gases
Euclidean field theories have been extensively studied in the mathematical literature since the sixties, motivated by high-energy physics and statistical mechanics. Formally, such a theory is given by a Gibbs measure associated with a Euclidean action functional over a space of distributions. In this talk I explain how some such theories arise as high-density limits of interacting Bose gases at positive temperature. This provides a rigorous derivation of them starting from a realistic microscopic model of statistical mechanics. I focus on field theories with a quartic, local or nonlocal, interaction in dimensions ≤ 3. Owing to the singularity of the Gaussian free field in dimensions higher than one, the interaction is ill-defined and has to be renormalized by infinite mass and energy counterterms. The proof is based on a functional integral
representation of the interacting Bose gas. Based on joint work with Cristina Caraci, Jurg Fröhlich, Alessio Ranallo, Benjamin Schlein, Vedran Sohinger, and Pedro Torres Giesteira. Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006)
Mercoledì 4 giugno 2025
Ore 17:30, aula Picone, Dipartimento di Matematica, Sapienza Università di Roma
LYSMimpactΦ
Claudio Procesi (Dipartimento di Matematica, Sapienza Università di Roma)
The spirit of Algebra
A personal very elementary excursion through the developments of Algebra from The 16^th century Italian algebraists to present days.
Per informazioni: https://www.altamatematica.it/lysm/lys%ce%bcmimpact%cf%86/
Giovedì 5 giugno 2025
Aula 116 (primo piano), IAC-CNR, via dei Taurini 19
Meeting su traffico e leggi di conservazione
Programma:
- 9:30 Welcome coffee
- 10:00 Maya Briani
- 10:45 Lucas Coeuret
- 11:30 Giuseppe Visconti
- 12:15 Project Meeting
- 13:00 Lunch
- 14:20 Elisa Paparelli
- 15:05 Laura Spinolo
- 15:50 Goodbye coffee
Per informazioni, rivolgersi a: Roberta.bianchini@cnr.it
Giovedì 5 giugno 2025
Ore 11:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
corso di Dottorato
Tomaž Prosen (University of Ljubljana)
Chaos and integrability in open and driven quantum many-body systems
The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Third lecture. I will focus on exactly solvable steady states of boundary driven open spin chains and algebraic aspects of the underlying matrix product states.
Giovedì 5 giugno 2025
Ore 14:00, Aula B, Dipartimento di Matematica, Università Roma Tre
Seminario di Geometria
Julie Wang (Academia Sinica)
On Campana's conjecture for covering of toric varieties
In joint work with Guo, Nguyen, and Sun, we extend results of Corvaja–Zannier, Turchet and Capuano-Turchet to establish cases of the Lang-Vojta Conjecture for varieties of log general type that arise as ramified covers of algebraic tori over function fields. The central technical result involves proving a version of Vojta’s generalized abc conjecture for algebraic tori over function fields, with explicitly computable exceptional sets. This is achieved through a GCD theorem for multivariable polynomials evaluated at S-unit arguments. In this talk, I will discuss how these results can be further extended to derive Campana’s orbifold conjecture for toric varieties with high multiplicities along the boundary, both over function fields and for entire curves. This part of the work is in collaboration with Carlo Gasbarri in the function field case and with Min Ru in the complex analytic setting.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it
Giovedì 5 giugno 2025
Ore 14:30, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario P(n) Problemi Differenziali Non Lineari
Pieralberto Sicbaldi (University of Granada)
Rigidity results for the capillary overdetermined problem
In this talk we will discuss some rigidity results for bounded positive solutions of the general capillary overdetermined problem: \(div\left(\frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right)+f(u)=0\) in \(\Omega\), \(u=0\) on \(\partial\Omega\), \(\partial_{\nu}u=const\) on \(\partial\Omega\). Our main theorem states that in dimension 2, under some natural assumptions on the function f and the boundedness of \(|\nabla u|\), the existence of a solution of the previous problem in a domain di eomorphic to a half-space implies that is a half-space and u is a one dimensional function. We also prove the boundedness of the gradient of the solution when \(f'(u) < 0\). With this, our results have an interesting physical application to the classical capillary overdetermined problem, i.e., the case where f is linear. This is a joint work with Y. Lian.
Per informazioni, rivolgersi a: galise@mat.uniroma1.it
Giovedì 5 giugno 2025
Ore 14:30, Aula 1B, Dipartimento SBAI, Sapienza
Seminario di Matematica Applicata
Giuseppe Tomassetti (Università di Roma 3)
Modeling the Effect of Strain Amplitude on Orientation Spreading in Cell Ensembles Subjected to Cyclic Stretch
Endothelial cells in the cardiovascular system experience cyclic stretching due to pulsatile blood flow, leading to orientation changes that are crucial in vascular remodeling and related pathologies, such as hypertension. Traditional models often describe cell alignment as a deterministic drift toward energy-minimizing configurations. However, experimental observations reveal non-sharp distributions of orientations, with reduced spreading under increased strain amplitude. In recent work by Loy and Preziosi (Bull. Math. Biol., 2023) such spreading is modeled by augmenting the deterministic evolution equation with a noise term. This approach leads to a Fokker–Planck equation whose stationary solutions show qualitative agreement with experimental data. Building on that work, in this talk I adopt the framework of Stochastic Thermodynamics with Internal Variables (Leadbetter et al., PNAS Nexus, 2023) to derive a two-dimensional dynamical system governing the mean orientation and degree of alignment of the cells. Phase-plane analysis confirms that the effect of strain amplitude on the experimentally observed spreading phenomenon stems from the interplay between drift and noise.
Per informazioni, rivolgersi a: lorenzo.giacomelli@uniroma1.it
Giovedì 5 giugno 2025
Ore 14:30, Aula 1200, Dipartimento di Matematica, Università di Roma Tor Vergata
Joint Topology & Algebra and Representation Theory Seminar (T-ARTS)
Wacław Marzantowicz (U Poznań)
Reeb graphs and description of homomorphisms onto the free groups
The Reeb graph R(f) of a C^1-function f from M to the real numbers with isolated critical points is a quotient object by the identification of connected components of function levels which has a natural structure of graph. The quotient map p from M to R(f) induces a homomorphism p* from the fundamental group of M to the fundamental group of R(f) which is equal to F_r, the free group of r generators. This leads to the natural question whether every epimorphism from a finitely presented group G to F_r can be represented as the Reeb epimorphism p* for a suitable Reeb (or even Morse) function f. We present a positive answer to this question. This is done by use of a construction of correspondence between epimorphisms from the fundamental group of M to F_r and systems of r framed non-separating hypersurfaces in M, which induces a bijection onto their framed cobordism classes. As applications we provide new purely geometrical-topological proofs of some algebraic facts.
Giovedì 5 giugno 2025
Ore 15:00, Aula B, Dipartimento di Matematica, Università Roma Tre
Seminario di Geometria
Carlo Gasbarri (Université de Strasbourg)
Rational points on expanding domains
If X is a projective variety defined over a number field and M is a complex relatively compact Riemann surface contained in it, Bombieri and Pila estimate the number of rational points contained in M in terms of their height. In this talk we will present some similar estimate when we consider the set of rational points in the image of a Zariski dense holomorphic map from the complex plane in a variety.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it
Venerdì 6 giugno 2025
Ore 11:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
corso di Dottorato
Tomaž Prosen (University of Ljubljana)
Chaos and integrability in open and driven quantum many-body systems
The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Fourth lecture. I will introduce integrable spin lattice models in discrete space-time (integrable quantum circuits) with the corresponding unitary integrability structures in discrete time domain, and present some interesting conjectures on anomalous transport and anomalous fluctuations in these systems.
Venerdì 6 giugno 2025
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Teoria delle Rappresentazioni e Sistemi Integrabili
Guido Carlet (Institut de Mathématiques de Bourgogne)
Structure, cohomology and deformations of local homogeneous Poisson brackets of arbitrary degree
Dubrovin and Novikov initiated the study of local homogeneous differential-geometric Poisson brackets of arbitrary degree k in their seminal 1984 paper. Despite many efforts, and several results in low degree, very little is known about their structure for arbitrary k. After an introduction to the topic, we first report on our recent results on the structure of DN brackets of degree k. By applying homological algebra methods to the computation of their Poisson cohomology (or rather of an associated differential complex) we show that certain linear combinations of the coefficients of a degree k DN bracket define k flat connections. Moreover we show that the Poisson cohomology of such brackets is related with the Chevalley-Eilenberg cohomology of an associate finite-dimensional Lie algebra. In collaboration with M. Casati.
Per informazioni, rivolgersi a: daniele.valeri@uniroma1.it
Venerdì 6 giugno 2025
Ore 14:30, Aula D'Antoni, Dipartimento di Matematica, Università di Roma Tor Vergata
DocTorV Seminar
Paolo Grossi (Università di Pavia)
An explicit class of Lagrangian surfaces
Given a 2n-dimensional smooth complex variety equipped with a non-degenerate holomorphic 2-form, an n-dimensional subvariety is called Lagrangian if the form vanishes identically on it. Lagrangian varieties often provide interesting counterexamples and give rise to subtle geometric phenomena. One way to construct such varieties is by considering the Galois closure of a rational map between smooth varieties, which can be embedded in its Albanese variety as a Lagrangian subvariety. In this talk, we will discuss some geometric properties of a class of surfaces obtained in this way.
Per informazioni, rivolgersi a: doctorv.uniroma2@gmail.com
Venerdì 6 giugno 2025
Ore 15:00, Aula Roberta Dal Passo, Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata"
May12: Celebrating Women in Mathematics
Elena Giorgi (Columbia University), Opening address by Adriana Garroni (Università di Roma Sapienza)
Shedding light on black holes
Black holes are the most striking predictions of General Relativity and are by now understood to be fundamental objects in our universe. In this talk, I will provide an overview of their mathematical properties, in particular concerning their stability as solutions to the Einstein equation, and give a bird's-eye view of the recent proof of the nonlinear stability of the slowly rotating Kerr black holes (joint with Klainerman-Szeftel). Sponsored by the MUR Excellence Department Project awarded to the Department of Mathematics of the University of Rome Tor Vergata
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