---

 

Settimana 24/10/2025 - 28/11/2025

 

• Seminari

• Eventi

• Archivio Bollettini

---

 

Seminari

 

---

Nel link sottostante trovate la Newsletter n.6 del progetto di Dipartimento MatMod@TOV, con l'invito di leggerla ed a darne massima diffusione:

Click below for PDF file Download:
NEWSLETTER n.6

---

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Geometry Seminar

Date: 25 November 2025

Schedule:
14:30 Rome Time

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

Speaker:
Christopher Frei - TU Graz

Title: "Asymptotics for solubility of unit equations over real quadratic fields "

Abstracts :
For a real quadratic field K and positive integer r, we prove an asymptotic formula for the number of rational integers of bounded absolute value that can be written as a sum of r units of the ring of integers of K. This is joint work with M. Widmer and V. Ziegler and answers partially a question posed by M. Jarden and W. Narkiewicz.

Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027), 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)

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

 

DocTorV SEMINAR

Date: 28th November 2025

Schedule: 16:00 - Rome Time

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

Title:" Unlikely intersections in Diophantine geometry "

Speaker: Nicola Ottolini - Univ. Tor Vergata

Abstract: Starting from Mordell, many conjectures have been put forward (and proved) about how geometry influences the behaviour of diophantine problems. It turns out that many of them can be put in a common framework about varieties that for dimensional reasons we do not expect to intersect. Whenever they do we say that this intersection is "unlikely". In this talk we will introduce the tools to state a quite broad conjecture of this type, known as Zilber-Pink Conjecture, and look at some special cases and consequences.

Organizing Committee:
Arianna Vicari (mail to contact)
Andrea Pizzi (mail to contact)

Further Info and Program: For information contact to Arianna Vicari or Andrea Pizzi directly by E-mail.

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

---

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

DIFFERENTIAL EQUATIONS SEMINAR

Date: 25th November 2025

Schedule: 14:30 - Rome Time -

Where: Conference Room "R. Dal Passo "

Title: " Newhouse phenomena and universality in celestial mechanics "

Speaker: Pau Martin - UPC, Barcellona

In \cite{McGeheestablemfold}, McGehee introduced a compactification of the phase space of the restricted 3-body problem by gluing a manifold of periodic orbits ``at infinity''. Although from the dynamical point of view these periodic orbits are parabolic (the linearization of the Poincar\'{e} map is the identity matrix), one of them, denoted here by $O$, possesses stable and unstable manifolds which, moreover, separate the regions of bounded and unbounded motion. This observation prompted the investigation of the homoclinic picture associated to $O$, starting with the work of Alekseev and Moser. We continue this research and extend, to this degenerate setting, some classical results in the theory of homoclinic bifurcations. More concretely, we prove that there exist Newhouse domains $\mathcal N$ in parameter space (the ratio of masses of the bodies) and residual subsets $\mathcal R\subset \mathcal N$ for which the homoclinic class of $O$ has maximal Hausdorff dimension and is accumulated by generic elliptic periodic orbits. One of the main consequences of our work is the fact that, for a (locally) topologically large set of parameters of the restricted 3-body problem, the union of its elliptic islands forms an unbounded subset of the phase space and, moreover, the closure of the set of generic elliptic periodic orbits contains hyperbolic sets with Hausdorff dimension arbitrarily close to maximal. Other instances of the restricted $n$-body problem, such as the Sitnikov problem and the case $n=4$, are also considered.
This is a joint work with M. Garrido and J. Paradela.
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:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)

Further Info and Program: Click here

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: 24 November 2025

Schedule: 14:00 Rome Time

Where: ROOM 1201 "R. Dal Passo"

Title: " Large deviations for the covariance process in fully connected Gaussian neural networks "

Speaker: Luisa Andreis - University of Torino

Abstract:

In this talk, we study fully connected Gaussian deep neural networks, focusing on their covariance process. In particular, we establish a large deviation principle (LDP) for this process in a functional framework, viewing it as a trajectory in the space of continuous functions. As key applications of our main results, we derive posterior LDPs under Gaussian likelihoods in both the infinite-width and mean-field regimes. We will outline the main ideas of the proof, emphasizing that it relies on an LDP for the covariance process regarded as a Markov process taking values in the space of non-negative, symmetric, trace-class operators equipped with the trace norm.
This talk is based on joint work with F. Bassetti and C. Hirsch.

Nota: Questo seminari o 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

---

---

Eventi

 

 

---