Seminari

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NEWSLETTER n.7

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

MAY 12 SEMINAR 2026 - Celebrating Women in Mathematics -

Date: 12 May 2026

Schedule: 15:00 - Rome Time

Where: Conference Room 1201 "R. Dal Passo"

Speaker: Roberta Bianchini - C.N.R.-I.A.C. ROMA

Title: " Riding the wave of fluid instabilities "

Abstract:
Mathematical models for incompressible fluids play a central role in oceanography and atmospheric science. Despite their relevance, fundamental questions concerning their stability remain largely open. A major research direction in the analysis of partial differential equations (PDEs) is devoted to addressing these issues, as a rigorous mathematical understanding can both guide and improve computational modeling. In this talk, I will present some recent results on stability and instability phenomena for two dimensional non-homogeneous incompressible fluids, with particular emphasis on mechanisms driving unstable dynamics.

Organizing Committee:
Domenico Marinucci (Contact Mail)
Martina Lanini (Contact Mail)
Elisabetta Strickland (Contact Mail)

Further Information: Click here for information

Streaming Link (MS Teams): This seminar will be held in person

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Geometry Seminar

Date: 12 May 2026 and EXTRA DAY SEMINAR: 15 May 2026

Schedule:
12 May: h: 14:30 Rome Time
15 May: h: 11:45 E 14:30 Rome Time

Where: Conference Room 1101 "C. D'Antoni"

Speaker:
12 May
h: 14:30 - 15:30 Hamid Abban - University of Nottingham

15 May
h: 11:45 - 12:45 Ilia Itenberg - Institut de Mathématiques de Jussieu
h: 14:30 - 15:30 Jaya Iyer - Institute of Mathematical Sciences, Chennai

Abstract:

12 MAY - h: 11:45 - Hamid Abban - TITLE: A Matsushima theorem for Fano threefolds

I will give a gentle introduction with several examples to the following topic: Yau-Tian-Donaldson conjecture states that a polarised manifold admits a cscK metric in if and only if is K-polystable. Matsushima proved in 1957 that existence of such cscK metric implies reductively of the automorphism group of . In a positive direction on the YTD conjecture, we show that K-polystability implies reductively of the automorphism group of , for smooth Fano threefolds. This is joint work with Paolo Cascini and Ivan Cheltsov.

15 MAY - h: 11:45 - Ilia Itenberg - TITLE: Real plane sextic curves without real singular points

We will start with a brief introduction to topology of real algebraic curves, and then will discuss in more details the case of curves of degree in the real projective plane. The main purpose of the talk is to present an equisingular deformation classification of simple real plane sextic curves with smooth real part. In particular, we will show that the equisingular deformation type of such a curve is determined by its real homological type, that is, the polarization, exceptional divisors, and real structure recorded in the homology of the covering -surface. (This is a joint work with Alex Degtyarev.)

15 MAY - h: 14:30 - Jaya Iyer -TITLE: Period-index questions and the u-invariant

We will discuss the period index questions for -torsion Brauer elements of function field of a hyperelliptic curve over global field of char . As a consequence, we deduce finiteness of the u-invariant of totally imaginary number fields.



Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027) and Prin 2022 Moduli Spaces and Birational Geometry and Prin PNRR 2022 Mathematical Primitives for Post Quantum Digital Signatures

Organizing Committee:
Codogni Giulio (Contact Mail)
Lido Guido Maria ( Contact Mail)
Francesca Carocci ( Contact Mail)
Antonio Trusiani ( Contact Mail)

Further Information: Click here for geometry webpage

Streaming Link (MS Teams): This seminar will be held in person

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Phisic Mathematics Seminar

Date: 13 May 2026

Schedule: 16:00 - Rome Time

Where: Conference Room: "

Title:" The diluted Hofstadter Q sequence "

Speaker: Guido Gentile - Roma TRE

Abstract:

We consider a variant of the Hofstadter Q sequence, that we call a "dilute Hofstadter Q sequence", where only one nested term is retained while the other one is replaced with a given sequence f(n). We investigate the conditions on f(n) for the dilute Hofstadter sequence to exist and discuss possible relations with Hofstadter's original problem.

N.B.: This talk is part of the activity of the MIUR Excellence Department Project Mat-Mod@TOV (CUP E83C23000330006).

Organizing Committee:
Giorgio Cipolloni (mail to contact)

Further Info and Program: For information contact Giorgio Cipolloni directly by E-mail.

Streaming Link (MS Teams): This seminar will be held in person

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

COMPLEX ANALYSIS SEMINAR

Date: 12 May 2026

Schedule: 14:30 - Rome Time

Where: Conference Room: 2001

Title: " Topological obstructions to global regularity of PDEs from complex analysis "

Speaker: Gian Maria DallAra - INdAM-SNS

Abstract:
I'll report on progress on a program to understand global hypoellipticity of certain geometric (degenerate) Laplacians. Global hypoellipticity means that globally smooth data correspond to globally smooth solutions. This is a very weak property, which is compatible with propagation of singularities. Results from the 1990s about the d-bar Neumann problem (due to Boas, Straube, Christ etc.) hint to the existence of topological obstructions to global hypoellipticity.
This talk is partially based on joint work with A. Martini.

NOTA: Il seminario sarà preceduto da un coffee break dalle 15:30.

Organizing Committee:
Leandro Arosio (mail to contact)
Filippo Bracci (mail to contact)
Eleonora Di Nezza (mail to contact)

Further Info and Program: COMPLEX ANALYSIS SEMINAR page Click here

Streaming Link (MS Teams): This seminar will be held in person

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

DINAMICS SYSTEMS SEMINAR

Date: 13 May 2026

Schedule: 11:00 - Rome Time

Where: Conference Room 2001 "R. Dal Passo"

Title: " Low-energy dynamics in generic potential fields "

Speaker: Manuel Garzon Martinez - Siviglia University

Abstract:
The question of whether a Hamiltonian system is typically integrable or chaotic is a central topic in dynamical systems, which traces back to the pioneering works of Poincar´e in Celestial Mechanics. A satisfactory picture of the typical dynamics of such systems did not emerge until the 1970s, when Markus and Meyer [5] established that a generic (in the Baire category sense) Hamiltonian system on a compact symplectic manifold is neither integrable nor ergodic. On the contrary, the case of natural Hamiltonian systems is much less studied, in spite of its central relevance in mathematical physics. Specifically, a natural Hamiltonian corresponds to the situation in which the symplectic manifold is the cotangent bundle of a manifold M , and the Hamiltonian is given by the sum of a fixed kinetic energy term and a potential field V ∈ C∞(M ; R). It is known that a generic potential field on a compact manifold is non-ergodic [4]. Moreover, near the potential maximum, the system may exhibit positive topological entropy under (non-generic) suitable conditions [1, 2]. Nev- ertheless, the fundamental question of whether motion at low energy levels is typically integrable or chaotic remains open to date. This difficulty arises because standard transversality methods are no longer applicable [4], raising the conjecture of whether classical results on generic non-integrability extend to the setting of potential fields. In this talk we shall present the main result of [3] which shows that, on each low energy level, the natural Hamiltonian system defined by a generic smooth potential V on T2 exhibits an arbitrarily high number of hyperbolic periodic orbits and a positive-measure set of invariant tori. To put this result in perspective, the existence of hyperbolic periodic orbits is the natural starting point to establish the presence of chaos in dynamical systems.

Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MatMod@TOV (2023-27) CUP E83C23000330006
Note: This talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (2023-27) CUP E83C23000330006

Organizing Committee:
Leandro Arosio (mail to contact)
Filippo Bracci (mail to contact)
Olver J. Butterley (mail to contact)
Carlangelo Liverani (mail to contact)
Alfonso Sorrentino (mail to contact)

Further Info: Contact Alfonso Sorrentino (Mail )

Streaming Link (MS Teams): This seminar will be held in person

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Ro.Ma.D.S. - Rome Centre on Mathematics for Modelling and Data ScienceS Seminar

Date:
11 May 2026 - Seminar: Johannes Alt (University of Bonn)
12-13-14 May 2026- Mini-course: Cyril Letrouit (CNRS, Laboratoire de Mathématiques d'Orsay)
12-14 May 2026- Mini-course: Andrea Clementi (Tor Vergata University of Rome)

Schedule:

Where:
11 May - ROOM 1201 "R. Dal Passo" Department of Mathematics 12-13-14 May - ROOM 1201 "R. Dal Passo" Department of Mathematics 12-14 May - (to be confirmed) Macroarea di Scienze - Aula 13

Title:
11 May - "Spectra of critical Erdős-Rényi graphs "
12-13-14 May - "The Mathematics of Transformers: From Particle Systems to Control Theory "
12-14 May - "Consistent Hashing "

Abstract:

11 May h:14:00 - Johannes Alt - "Spectra of critical Erdős-Rényi graphs ""

We consider the Erdős-Rényi graph G in its critical regime when its expected degree d scales like the logarithm of its number of vertices. On this critical scale, G undergoes a connectivity transition through the formation of isolated vertices. Moreover, localized eigenvectors emerge. The time evolution of a free quantum particle on G is governed by the adjacency matrix A of G through the Schrödinger equation. We determine the solution to this Schrödinger equation by comparison to an infinite tree. As A possesses localized and delocalized eigenvectors, the solution is in general a mixture of localized and scattering waves.

12-13-14 May h: 11:00 - Mini-course: "The Mathematics of Transformers: From Particle Systems to Control Theory"

Since their introduction in 2017, Transformers have profoundly transformed large language models and, more generally, deep learning. This success largely relies on the mechanism known as "self-attention". In this course, I will introduce a mathematical framework that allows self-attention to be viewed as a system of interacting particles. I will explain certain remarkable properties of the associated dynamics in the space of probability measures, with particular emphasis on cluster formation, the preservation of Gaussian distributions, the subtleties of the associated mean-field limit, and the great "expressivity" of these neural networks, proved thanks to control theory.

12-14.05.2026 - Mini-course: "Consistent Hashing "

In the architecture of large-scale distributed systems, the challenge of distributing data across a dynamic set of nodes is fundamental. Traditional hashing methods often fail when nodes enter or leave the system, causing massive data reshuffling. Consistent Hashing is a specialized hashing technique that provides hash table functionality in a way that the addition or removal of one slot (node) does not significantly alter the mapping of keys to slots. In few words, in a standard hashing scheme (using the modulo operation mod{n}), changing the number of slots n results in nearly every key being remapped. In contrast, consistent hashing ensures that only K/n keys need to be remapped on average, where K is the number of keys and n is the number of slots.Consistent Hashing emerged as a revolutionary solution to this problem that become a "building block" for many of the most successful distributed architectures in history. Among them, we mention the following applications.

- Content Delivery Networks (CDNs): As pioneered by Akamai, CDNs use it to map web requests to edge servers. It minimizes the need to re-cache content when servers are added to the network to handle peak loads.
- Distributed Databases and NoSQL: Modern distributed databases use Consistent Hashing to achieve horizontal scalability (sharding):
• Apache Cassandra & Amazon Dynamo: Use the hash ring to determine which node stores a particular row of data.
• Virtual Nodes (Vnodes): To solve the problem of uneven data distribution, many systems hash a single physical node to multiple points on the ring, ensuring a more uniform load.
- Load Balancing: Load balancers (like HAProxy or Nginx) use consistent hashing to ensure session persistence. By hashing the client’s IP address, the balancer ensures the user is always routed to the same backend server, even if the server pool changes slightly.
- Distributed Caching: Memcached, one of the most famous distributed memory caching systems, relies heavily on consistent hashing to manage cache hits and misses across a cluster of machines. Focusing on the mathematics and algorithms of consistent hashing, this course requires only an undergraduate STEM background in algebra, probability, and algorithm theory.


Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MatMod@TOV (2023-27) CUP E83C23000330006
Note: This talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (2023-27) CUP E83C23000330006

Organizing Committee:
Domenico Marinucci contact Mail
Michele Salvi contact Mail

Stefano Vigogna contact Mail

Further Info and Program: Click here for RoMaDS event Page

Streaming Link (MS Teams): Link TEAMS Click here for Link

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Eventi

 

Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica

Corso di storia della scienza

Date: Monday 11 MAY 2026

Schedule: 14:00 Rome Time

Where: Conference A0

Speaker: Paolo Scarpitti - Istituto di San Michele della soprintendenza di Roma

Title:sfruttamento di energia idraulica

Abstract:
la lezione del corso di storia della scienza sarà tenuta da Paolo Scarpitti, restauratore dell’istituto di San Michele della soprintendenza di Roma, che ha restaurato macchine lignee del XIII secolo che attraverso lo sfruttamento di energia idraulica permettevano il taglio di legno e marmo. Scarpitti parlerà del funzionamento di queste macchine, del loro restauro e delle probabili fonti arabe che hanno ispirato la loro costruzione.

IMPORTANTE:
Se qualcuno fosse interessato a seguire la lezione lo pregherei di avvertire il Prof. Benedetto Scoppola con una mail, dato che l’aula è piccola, e se fossimo in molti potrebbe essere meglio trovarne un’altra.

Organizing Committee:
Benedetto Scoppola (mail to)

 

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