Weekly Bulletin (it)
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma
Settimana dal 11-12-2023 al 17-12-2023
Lunedì 11 dicembre 2023
Istituto Nazionale di Alta Matematica, Roma
Indam Workshop
Vertex algebras, infinite dimensional Lie algebras and related topics
Programma:
- 9:30- 10:30 C. Dong: Coset constructions and Kac-Wakimoto Hypothesis
- 10:30-11:30 D. Adamović: On the representation theory of affine VOAs and W-algebras via inverse QHR
- 12:00-13:00 A. De Sole: Cohomology of vertex algebras and Poisson vertex algebras
- 15:00-16:00 J. Van Ekeren: Isomorphisms of W-algebras
- 16:30-17:30 A. D'Andrea: Lie super-pseudoalgebras
Lunedì 11 dicembre 2023
Ore 14:30, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Analisi Matematica
Benedetta Pellacci (Università degli Studi della Campania Luigi Vanvitelli)
Spectral optimization problems arising in logistic models: A singular limit.
We will discuss some recent results concerning weighted eigenvalue problems in bounded Lipschitz domains, under Neumann boundary conditions. The optimization of the distribution of resources leads to minimize a principal eigenvalue with respect to the sign-changing weight. Important qualitative properties of the positivity set of the optimal weight, such as being connected, as well as its location, are still not known in general. We will present some asymptotical results in the case of Neumann boundary conditions. Joint works with Dario Mazzoleni (Università di Pavia) and Gianmaria Verzini (Politecnico di Milano). This seminar is part of the activities of the Excellence Department Project CUP B83C23001390001
Per informazioni, rivolgersi a: azahara.delatorrepedraza@uniroma1.it
Martedì 12 dicembre 2023
Istituto Nazionale di Alta Matematica, Roma
Indam Workshop
Vertex algebras, infinite dimensional Lie algebras and related topics
Programma:
- 9:00- 10:00 L. Ren: tba
- 10:00-11:00 J. Villareal: On the representation theory of affine VOAs and W-algebras via inverse QHR
- 11:30-12:30 L. Casarin: Affine algebras with multiple singularities and distributions
- 15:00-16:00 O. Perše: tba
- 16:30-17:30 A. Kontrec: Kazama-Suzuki duality between certain simple W-algebras
Martedì 12 dicembre 2023
Ore 10:00, Aula B, Dipartimento di Matematica e Fisica, Università Roma Tre
Junior Seminar
Luca Ferrigno (Università Roma Tre)
Unlikely Intersections in diophantine geometry
We talk about "unlikely intersections" whenever we have a non-empty intersection between algebraic varieties that, for dimensional reasons, we do not expect to intersect: for example, if \( X, Y \) are varieties of dimensions \( r \) and \( s \) in a space of dimension \( n > r + s \), we usually expect \( X \cap Y \) to be empty. This expectation is the basis of many problems in diophantine geometry, which usually study the finiteness of the number of points satisfying some arithmetical conditions on algebraic varieties. After an overview of some problems of unlikely intersections in algebraic tori, we will focus on unlikely intersections in families of elliptic curves.
Martedì 12 dicembre 2023
Ore 14:00, Aula B, Dipartimento di Matematica
Corso di Storia della Matematica per il Dottorato
Enrico Rogora (Sapienza)
Episodi della teoria delle equazioni algebriche (IV)
Martedì 12 dicembre 2023
Ore 16:00, Aula Dal Passo, Dipartimento di Matematica, Università di Roma "Tor Vergata"
Seminario di Analisi Matematica
Tien Khai Nguyen (North Carolina State University)
Scalar balance laws with nonlocal singular sources
Abstract: In this presentation, I will establish the global existence of entropy weak solutions for scalar balance laws with nonlocal singular sources, along with a partial uniqueness result. A detailed description of the solution is provided for a general class of initial data in a neighborhood where two shocks interact. Additionally, some open questions will be discussed. The speaker will be connected remotely NB: This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C23000330006
Martedì 12 dicembre 2023
Ore 17:30, Aula B, Dipartimento di Matematica, Sapienza Università di Roma
YAMS - Young Algebraist Meetings in Sapienza
Tiziano Gaibisso (Imperial College London)
Introduction to Nakajima quiver varieties
Nakajima quiver varieties, originally defined in ’94, form an interesting class of algebraic varieties with many applications in algebraic geometry. For instance, they provide natural resolutions of symplectic singularities. In this talk, I will briefly introduce (mainly through drawing nice pictures or diagrams) quiver representations, Geometric Invariant Theory (GIT), and Hamiltonian reductions in GIT. I will try to highlight how these techniques allow us to produce, in a natural way, Poisson algebraic varieties and, in some cases, resolutions of symplectic singularities. This will enable us to give an algebro-geometric description of Nakajima quiver varieties and to provide interesting examples.
Per informazioni, rivolgersi a: yamsapienza@gmail.com
Mercoledì 13 dicembre 2023
Istituto Nazionale di Alta Matematica, Roma
Indam Workshop
Vertex algebras, infinite dimensional Lie algebras and related topics
Programma:
- 9:30- 10:30 M. Miyamoto: Rationality of holomorphic vertex operator algebra
- 10:30-11:30 V. Pedić: On Whittaker modules for Weyl vertex algebra orbifolds
- 12:00-13:00 L. Bagnoli: Some results on Yangians and quantum vertex algebras
Mercoledì 13 dicembre 2023
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Bruno Anglès (Université de Caen)
On the j-invariants of CM rank two Drinfeld modules
We will investigate the arithmetic properties of the j-invariant of a rank two Drinfeld module having CM by an order of an « imaginary » quadratic function field. This talk is based on a joint work with Cécile Armana (Besançon, France), Vincent Bosser (Caen, France) and Fabien Pazuki (Copenhagen, Denmark).
Mercoledì 13 dicembre 2023
Ore 15:00, Laboratotrio di calcolo B, Dipartimento di Matematica
Corso di storia della Matematica per il dottorato
Enrico Rogora (Sapienza)
Episodi della teoria delle equazioni algebriche (V)
Mercoledì 13 dicembre 2023
Ore 16:00, Aula 2001, Dipartimento di Matematica, Università di Roma Tor Vergata
seminario di geometria e teoria dei numeri
Carlo Pagano (Concordia University, Montreal)
On Chowla's non vanishing conjecture
I will describe ongoing work with Peter Koymans and Mark Shusterman, showing that for fixed q congruent to 3 modulo 4, one has non-vanishing of L(1/2,chi) for 100% of imaginary quadratic characters chi of Fq(T) (ordered by discriminant). This result, predicted by the Katz-Sarnak heuristics, is the probabilistic version of Chowla's non vanishing conjecture: it is known that over function fields one cannot hope for a deterministic statement, as shown in a fairly robust way by Wanlin Li in 2018. I will explain how this result sits into a web of methods aimed at controlling the distribution of 2^{infty}-Selmer groups in quadratic twists families.
Per informazioni, rivolgersi a: guidomaria.lido@gmail.com
Mercoledì 13 dicembre 2023
Ore 16:00, Aula M1, Dipartimento di Matematica e Fisica, Università di Roma Tre, Lungotevere Dante 376
Tè di matematica
Emiliano Cristiani (IAC-CNR)
Modelli matematici microscopici e macroscopici per i movimenti pedonali
Come si descrive matematicamente la dinamica delle folle? E a cosa serve saperla prevedere? In questo seminario passeremo in rassegna gli approcci più usati per descrivere il movimento dei pedoni, per poi concentrarci su due modelli recenti: il primo è un approccio microscopico (agent-based) non differenziale in grado di simulare la dinamica pedonale anche ad altissime densità; il secondo invece è un approccio macroscopico fluidodinamico basato sulla teoria dei giochi di campo medio.
Mercoledì 13 dicembre 2023
Ore 17:00, Aula 2001, Dipartimento di Matematica, Università di Roma Tor Vergata
seminario di geometria e teoria dei numeri
Εfthymios Sofos (University of Glasgow)
Averages of multiplicative functions over integer sequences
In joint work with Chan, Koymans and Pagano we prove matching upper and lower bounds for multiplicative functions when averaged over general integer sequences. We give applications to Cohen—Lenstra conjecture and Manin’s conjecture for counting solutions of Diophantine equations in a small number of variables.
Per informazioni, rivolgersi a: guidomaria.lido@gmail.com
Giovedì 14 dicembre 2023
Istituto Nazionale di Alta Matematica, Roma
Indam Workshop
Vertex algebras, infinite dimensional Lie algebras and related topics
Programma:
- 9:00- 10:00 A. Moreau: tba
- 10:00-11:00 P. Möseneder Frajria: On unitary representations of minimal W-algebras in the Ramond sector
- 11:30-12:30 C. Jiang: Varieties and singular vectors of affine vertex algebras of type A
- 12:30-13:30 I. Vukorepa: Classification of irreducible modules for the affine vertex algebra \( L_{-\frac{2n+1}{2}}(\mathfrak{sl}_{2n})\) in certain categories
Giovedì 14 dicembre 2023
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Convegno
Giornate INdAM di Teoria dei Numeri
Programma:
- 9:30 Benvenuto
- 9:45 Molteni: Breaking the 4 barrier for the bound of a generating set of the class group (under GRH)
- 10:30 Coffee Break
- 11:00 Viglino: Almost sure convergence of least common multiple of ideals for polynomials over a number field
- 11:45 Cammarota: Arithmetic Random Waves: correlation structure, boundary effect on the nodal length and spectral semi-correlations
- 12:30 Lunch Break
- 14:30 Munsch: On the Mahler measure of Fekete polynomials
- 15:15 Panti: Iterated function systems and continued fractions on Hecke groups
- 16:00 Rossi: Nodal sets of arithmetic random waves
Per informazioni, rivolgersi a: cherubini@altamatematica.it
Giovedì 14 dicembre 2023
Ore 14:00, Aula B, Dipartimento di Matematica
Corso di storia della Matematica per il dottorato
Enrico Rogora (Sapienza)
Episodi della teoria delle equazioni algebriche (VI)
Giovedì 14 dicembre 2023
Ore 14:15, Aula M1, Dipartimento di Matematica e Fisica, Università Roma Tre
Seminario di Geometria
Richard Haburcak (HIM)
Maximal Brill-Noether loci
Classical Brill--Noether theory studies linear systems on a general curve in the moduli space \(\mathcal{M}_g\) of genus \(g\) curves. A refined Brill-Noether theory studies the linear systems on curves with a given Brill-Noether special linear system. As a first step, one would like to understand the stratification of \(\mathcal{M}_g\) by Brill-Noether loci, which parameterize curves with a particular projective embedding. In this talk, we'll introduce the Maximal Brill-Noether loci conjecture, and discuss recent progress via the established refined Brill-Noether theory for curves of fixed gonality and via studying unstable Lazarsfeld-Mukai bundles on K3 surfaces. This is joint work with Asher Auel and Hannah Larson.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it
Giovedì 14 dicembre 2023
Ore 14:30, Aula 1B1, RM002, Via A.Scarpa 16, Dipartimento SBAI
Seminario "PDE a tutto SBAI"
Daniele Castorina (Università degli studi di Napoli Federico II)
Mean field sparse optimal control of systems with additive white noise
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).
Per informazioni, rivolgersi a: massimo.grossi@uniroma1.it
Venerdì 15 dicembre 2023
Istituto Nazionale di Alta Matematica, Roma
Indam Workshop
Vertex algebras, infinite dimensional Lie algebras and related topics
Programma:
- 9:30- 10:30 A. Linshaw: Universal VOAs and W-algebras of classical types
- 11:00-12:00 Q. Wang: Representations of the orbifold of the parafermion vertex operator algebra \(K(osp(1|2),k)\)
- 12:00-13:00 D. Valeri: Deformations of W-algebras and differential-difference equations
Venerdì 15 dicembre 2023
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Convegno
Giornate INdAM di Teoria dei Numeri
Programma:
- 9:00 Anglès: Special values of Zeta functions in positive characteristic
- 9:45 Perelli: Twist non-lineari e momenti delle funzioni \(L\)
- 10:30 Coffee Break
- 11:00 Sanna: Momenti del numero di partizioni in numeri di Fibonacci
- 11:45 Bettin: Value distributions of quantum modular forms
- 12:30 Lunch Break
- 14:30 Zaccagnini: Additive problems with primes and powers of integers
- 15:15 Cantarini: Laplace convolutions and additive problems
Per informazioni, rivolgersi a: cherubini@altamatematica.it
Venerdì 15 dicembre 2023
Ore 14:30, Aula Dal Passo, Dipartimento di Matematica, U Roma Tor Vergata
Algebra and Representation Theory Seminar
Chetan Vuppulury (U Roma Sapienza)
Higher projective representations and higher central extensions
Projective representations of a group G with assigned 2-cocycle \alpha are equivalent to (certain) representations of the central extension of G associated with \alpha. This classical result can be seen as a piece of 2-category theory fallen into the realm of 1-categories, and in this perspective it admits natural generalizations relevant to the context of anomalous topological or Euclidean QFTs. In particular, Stolz-Teichner's Clifford field theories naturally emerge as a particular example of this construction.
Venerdì 15 dicembre 2023
Ore 16:00, Aula Dal Passo, Dipartimento di Matematica, U Roma Tor Vergata
Algebra and Representation Theory Seminar
Tiziano Gaibisso (Imperial College London)
Nakajima quiver varieties
Nakajima quiver varieties, originally defined in 1994 by H. Nakajima, form an interesting class of algebraic varieties with many applications in algebraic geometry (e.g., resolutions of singularities), representation theory (e.g., Kac-Moody algebras), and string theory (e.g., Coulomb and Higgs branches). In this talk, we will begin introducing the general setting of Hamiltonian reductions via GIT, highlighting how this technique produces Poisson quasi-projective varieties in a canonical way, and, in some cases, resolutions of symplectic singularities. We will then apply this theory to quiver representations, defining Nakajima quiver varieties and illustrating how the combinatorial nature of quivers is reflected in the geometry of these varieties.
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.