Bollettino settimanale
Settimana 09/05/2022 - 13/05/2022
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica - Rome Center on Mathematics for Modeling and Data ScienceS (RoMaDS) -
COLLOQUIUM
Date: Monday May 9, 2022
Schedule: 15:00 Rome Time
Where: Room 1201 "R. Dal Passo"
Speaker: Lorenzo Rosasco (University of Genova)
Title: "A guided tour of machine learning (theory) "
Abstract: In this talk, we will provide a basic introduction to some of the fundamental ideas and results in machine learning, with emphasis on mathematical aspects.
We will begin contrasting the modern data driven approach to modeling to classic mechanistic approaches. Then, we will discuss basic elements of machine learning theory connected to approximation theory, probability and optimization.
Finally, we will discuss the need of new theoretical advances at the light of recent empirical observations while using deep neural networks.
L'iniziativa è parte del progetto di eccellenza Math@TOV
Bio: Lorenzo Rosasco is a professor at the University of Genova. He is also visiting professor at the Massachusetts Institute of Technology (MIT) and external collaborator at the Italian Technological Institute (IIT).
He coordinates the Machine Learning Genova center (MaLGa) and leads the Laboratory for Computational and Statistical Learning focused on theory, algorithms and applications of machine learning. He received his PhD in 2006
from the University of Genova, after being a visiting student at the Center for Biological and Computational Learning at MIT, the Toyota Technological Institute at Chicago (TTI-Chicago) and the Johann Radon Institute for
Computational and Applied Mathematics. Between 2006 and 2013 he has been a postdoc and research scientist at the Brain and Cognitive Sciences Department at MIT.
He his a recipient of a number of grants, including a FIRB and an ERC consolidator.
Organizing Committee: Michele Salvi (mail to) Domenico Marinucci (mail to)
Further Info: Click here
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
MAY12: CELEBRATING WOMEN IN MATHEMATICS SEMINAR
Date: Thursday May 12, 2022
Schedule: 15:00 - Rome Time
Where: Room 1201 "R. Dal Passo" and streaming via MS Teams, see the link below
Speaker: Prof.ssa Michela Procesi (Università di Roma Tre)
Title: "Order and chaos in wave dynamics"
Abstract:
The opening speech will be held by: Prof.ssa Gabriella Tarantello, Università di Roma "Tor Vergata"
Many physical phenomena are well described as the propagation of waves: the motion of the sea,
the transmission of sound, electromagnetic waves (light, radio waves). Their mathematical description
is often extremely complicated and characterized by the coexistence of stable and chaotic behaviors.
I will discuss some models of wave propagation by nonlinear Partial Differential Equations illustrating
briefly the main difficulties as well as some mathematical methods used to study them.
Questa iniziativa è supportata dal finanziamento MIUR “Dipartimento di Eccellenza” (2018-2022) Math@Tov,
CUP E83C18000100006
A small coffee break will follow.
Organizing Committee: Martina Lanini (mail to) Domenico Marinucci (mail to) Alfonso Sorrentino (mail to) Elisabetta Strickland (mail to)
Further Info: Department Page of: "MAY12: CELEBRATING WOMEN IN MATHEMATICS" and Official International Site of: "MAY12: CELEBRATING WOMEN IN MATHEMATICS"
- Poster realized by:
Claudia Flandoli. Click here for her site
- Nota esplicativa del progetto May 12 a cura di Elisabetta Strickland, ambasciatrice per l’Italia presso la CWM-IMU: Click Here
Streaming Link (MS Teams): Click Here
- Nota esplicativa del progetto May 12 a cura di Elisabetta Strickland, ambasciatrice per l’Italia presso la CWM-IMU: Click Here
Università degli Studi Roma Tre
Dipartimento di Matematica - Fisica
PHD COURSE IN MATHEMATICS
Date: Wednesday May 11, 2022
Schedule: 15:00 - Rome Time
Where: Aula 311 - Pal.C - Largo San Leonardo Murialdo, 1
Speaker: Vilmos Komornik (Université de Strasbourg)
Title: "Introduction to expansions in non-integer bases "
Abstract: If the cochain complex computing Ext groups (in the category of modules over Hopf algebroids) admits a cocyclic structure, then the noncommutative
This theory grew out of an example in a historical paper by A. Rényi
in 1956, illustrating the use of ergodic theory in investigating the
frequency of digits, a problem going back to a famous theorem of
Borel. Subsequent research revealed many hitherto hidden connections
of his example to number theory, topology, fractals, symbolic dynamics
and probability. The theory got a new impetus with the discovery in
1990 of P. Erdős and his collaborators of strange and unexpected
properties of unique expansions. This led to hundreds of papers in the
past thirty years. We propose an introduction to this subject, which
is still rich in open problems.
The plan for our course is the following:
1. Definition of expansions, examples illustrating the differences between integer and non-integer bases.
2. Lexicographic characterizations.
3. The number of expansions.
4. Univoque bases.
5. Topological description of the set of numbers having a unique expansion.
6. Hausdorff dimension of the preceeding set.
7. Multiple expansions.
For additional information, send email to Marco Pedicini: (click here for send mail.)
Organizing Committee: Marco Pedicini (mail to)
Further Info:
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
TOPOLOGY AND ALGEBRA SEMINAR
Date: Thursday May 12, 2022
Schedule: 16:00 - Rome Time
Where: Room 20 - MACROAREA DI SCIENZE
Speaker: Niels Kowalzig (Università degli Studi di Roma "Tor Vergata")
Title: "Calculi on cyclic duals"
Abstract: If the cochain complex computing Ext groups (in the category of modules over Hopf algebroids) admits a cocyclic structure, then the noncommutative Cartan calculus structure on Tor over Ext dualises in a cyclic sense to a calculus on Coext over Cotor. More precisely, the cyclic duals of the chain resp. cochain spaces computing the two classical derived functors lead to complexes that compute the more exotic ones, giving a so-called cyclic opposite module over an operad with multiplication that induce in a purely operadic fashion operations such as a Lie derivative, a cap product (or contraction), and a (cyclic) differential, along with higher homotopy operators defining a noncommutative Cartan calculus up to homotopy. In particular, this allows to recover the classical Cartan calculus from differential geometry or the Chevalley-Eilenberg calculus for Lie(-Rinehart) algebras without any finiteness conditions or the use of topological tensor products.
Organizing Committee: Paolo Salvatore (mail to)
Further Info:
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
DIFFERENTIAL EQUATIONS SEMINAR
Date: Tuesday 10 May 2022
Schedule: 16:00 - Rome Time
Where: Room 1201 "R. Dal Passo"
Speaker: Filippo Gazzola (Politecnico di Milano)
Title: "Long-time behavior of partially damped systems modeling degenerate plates with piers"
Abstract: We consider a partially damped nonlinear beam-wave system of evolution PDE's modeling the dynamics of
a degenerate plate. The plate can move both vertically and torsionally and, consequently, the solution has two components. We show that the
component from the damped beam equation always vanishes asymptotically while the component from the (undamped) wave equation does not.
In case of small energies we show that the first component vanishes at exponential rate. Our results highlight that partial damping is not enough
to steer the whole solution to rest and that the partially damped system can be less stable than the undamped system. Hence, the model and
the behavior of the solution enter in the framework of the so-called "indirect damping" and "destabilization paradox". These phenomena
are valorized by a physical interpretation leading to possible new explanations of the Tacoma Narrows Bridge collapse.
Joint work with Abdelaziz Soufyane (University of Sharjah, UAE).
This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006
Organizing Committee: Roberto Longo (mail to)
Further Info: DIFFERENTIAL EQUATIONS PAGE: Click Here
Streaming Link (MS Teams): CLICK HERE
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica - Center for Mathematics and Theoretical Physics (C.M.T.P.) -
COLLOQUIUM LEVI-CIVITA
Date: Tuesday May 10, 2022
Schedule: 14:30 - Rome Time
Where: Room 1201 "R. Dal Passo"
Speaker: Slava Rychkov (I.H.E.S., Bures sur Yvette, Paris)
Title: " “Bootstrap” method in physics and mathematics"
Abstract: In the last 10-15 years, “bootstrap” was applied to problems as disparate as critical exponents of second-order phase transitions, scattering of elementary particles, chaotic dynamical systems, and Laplacian spectra on hyperbolic manifolds. This produced many new computer-assisted bounds on various quantities of interest. I will explain common features of these problems, and what is this bootstrap method which applies to all of them.
Organizing Committee: Roberto Longo (mail to)
Further Info: Center for Mathematics and Theoretical Physics (C.M.T.P.) PAGE: Click here
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
OPERATOR ALGEBRAS SEMINAR
Date: Tuesday May 10, 2022
Schedule: 16:30 - Rome Time
Where: Room 2001
Speaker: Jean-Luc Sauvageot, Institut de Mathématiques Université - Pierre et Marie Curie (Paris)
Title: "Dirichlet forms and spectral triples"
Abstract: Faremo vedere come si puo' associare ad una forma di Drichlet su una C*-algebra una tripla spettrale. Poi ci intresseremo ai valori singolari dei commutatori [F,a] dov F e' la fase del Dirac, proponendo delle stime sia dall'alto che dal basso.
Organizing Committee: Daniele Guido (mail to) Tommaso Isola (mail to)
Further Info: Click here
Streaming Link (MS Teams):
Università degli Studi di Roma Tre
Dipartimento di Matematica - Fisica
GIORNATA INDAM 2022
Date: Tuesday May 10, 2022
Schedule: 09:00 - Rome Time
Where: Room M1 del Dipartimento di Matematica e Fisica
Speaker: Luca Battaglia, Simone Cacace, Elisabetta Candellero, Laura Capuano, Livia Corsi, Stefano Guarino, Margherita Lelli Chiesa, Paolo Pistone, Federico Bonetto, Pierluigi Crescenzi.
Title: "Giornata INdAM 2022"
Abstract: L’unità di ricerca INdAM di Roma Tre propone un incontro scientifico per dare visibilità in ambito romano e nazionale all’attività dell’unità e alle sue diverse linee di ricerca e per promuovere il dialogo tra le diverse aree che, dopo il periodo dell’emergenza sanitaria, sentono la necessità di ritornare a interagire e a dialogare in presenza.
La giornata verterà attorno a otto interventi da mezz’ora ciascuno da parte di giovani che fanno riferimento alle diverse aree di ricerca dell’unità e a due conferenze da parte di ricercatori più esperti. Tutti gli interventi e le due conferenze sono rivolti a un pubblico ampio, dovrebbero essere accessibili a qualunque dottorando in matematica ed anche (almeno in parte) a studenti della laurea magistrale.
Organizing Committee: Fabrizio Barroero, Roberto Maieli, Michela Procesi, Paola Supino, Lorenzo Tortora de Falco.
Further Info: Click here
Streaming Link (MS Teams):
Eventi
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Corso di Dottorato
Cluster expansion in statistical mechanics and its connection with the Lovász Local Lemma in combinatorics
Period: 2022.11.04 - 2022.06.06
Schedule:
| Day | Period | Time |
|---|---|---|
| Monday | 11.04.2022 | 14:00 - 16:00 |
| Wednesday | 13.04.2022 | 14:00 - 16:00 |
| Monday | 20.04.2022 | 14:00 - 16:00 |
| Wednesday | 27.04.2022 | 14:00 - 16:00 |
| Monday | 02.05.2022 | 14:00 - 16:00 |
| Wednesday | 04.05.2022 | 14:00 - 16:00 |
| Monday | 09.05.2022 | 14:00 - 16:00 |
| Wednesday | 11.05.2022 | 14:00 - 16:00 |
| Monday | 16.05.2022 | 14:00 - 16:00 |
| Wednesday | 18.05.2022 | 14:00 - 16:00 |
| Monday | 23.05.2022 | 14:00 - 16:00 |
| Wednesday | 25.05.2022 | 14:00 - 16:00 |
| Monday | 03.05.2022 | 14:00 - 16:00 |
| Wednesday | 01.06.2022 | 14:00 - 16:00 |
| Monday | 06.06.2022 | 14:00 - 16:00 |
Where: Common Room
Organizing Committee: Benedetto Scoppola (Contatto E-Mail).
Speaker: Aldo Procacci (University Federal of the Minas Gerais, Belo Horizonte, Brasile)
Title: Cluster expansion in statistical mechanics and its connection with the Lovász Local Lemma in combinatorics
Speaker: Aldo Procacci (University Federal of the Minas Gerais, Belo Horizonte, Brasile)
Title: Cluster expansion in statistical mechanics and its connection with the Lovász Local Lemma in combinatorics
Abstract:
Course program:
Part 1. Continuous particles in the Grand Canonical Ensemble interacting via a pair potential
1. Conditions on the pair potential: stability and regularity
2. The infinite volume limit. Existence (the case of the finite range pair potential)
3. Properties of the pressure. Continuity.
4. The Mayer series
5. The combinatorial problem
6. The Penrose tree graph identity: partition schemes.
7. Analyticity at low density/high temperature
- a) The hard sphere gas (via the original Penrose partition scheme)
b) gas of particles interacting via a stable and regular pair potential (via the Kruskal algorithm partition scheme)
Part 2. Discrete systems
1. The abstract polymer gas
2. Convergence of the cluster expansion
3. Convergence criteria: Kotecký-Preiss; Dobrushin; Fernández-Procacci.
4. Elementary examples.
5. Gas of non-overlapping subsets
6. Applications: spin systems at high temperature
7. Ising model at low temperature.
8. Antiferromagnetic Potts model at zero temperature on a graph G (complex zeros of the chromatic polynomial of G).
Part 3. The Connection with the probabilistic method in combinatorics
1. A powerful tool in combinatorics: The Lovász Local Lemma
2. Shearer criterion.
3. Scott-Sokal formulation of the Shearer Criterion via the abstract polymer gas.
4. The cluster expansion Local lemma
5. Example: colorings of a graph.
6. The Moser-Tardos algorithmic version of the Lovász Local Lemma
7. Entropy-compression method.
Further Info: Click here
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Corso di Dottorato
Introduction into Neural Networks and Deep Learning
Period: 2022.05.04 - 2022.05.26
Schedule:
| Day | Period | Time |
|---|---|---|
| Wednesday | 2022.05.11 | 16:00 - 18:00 |
| Thursday | 2022.05.12 | 16:00 - 18:00 |
| Wednesday | 2022.04.19 | 16:00 - 18:00 |
| Thursday | 2022.05.26 | 16:00 - 18:00 |
| Wednesday | 2022.06.01 | 16:00 - 18:00 |
| Thursday | 2022.06.08 | 16:00 - 18:00 |
| Wednesday | 2022.06.09 | 16:00 - 18:00 |
| Thursday | 2022.06.15 | 16:00 - 18:00 |
| Wednesday | 2022.06.16 | 16:00 - 18:00 |
| Thursday | 2022.06.22 | 16:00 - 18:00 |
| Wednesday | 2022.06.23 | 16:00 - 18:00 |
| Thursday | 2022.06.30 | 16:00 - 18:00 |
Where: Room 1101 D'Antoni
Organizing Committee: Bracci Filippo (Contatto E-Mail)
Speaker: Dmitri Koroliouk (National Academy of Sciences of Ukraine)
Title: "Introduction into Neural Networks and Deep Learning"
Speaker: Dmitri Koroliouk (National Academy of Sciences of Ukraine)
Title: "Introduction into Neural Networks and Deep Learning"
Abstract: Program is below:
Further Info: Prof. Koroliouk is available to meet anyone who is interested talking about the topics of the course, you can contact directly writing an E-Mail to Prof. Koroliouk
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Corso di Dottorato
Introduction to rough paths
Period: 2022.05.04 - 2022.05.26
Schedule:
| Day | Period | Time |
|---|---|---|
| Wednesday | 2022.05.05 | 14:00 - 16:00 |
| Tuesday | 2022.05.11 | 14:00 - 16:00 |
| Wednesday | 2022.04.12 | 14:00 - 16:00 |
| Tuesday | 2022.05.18 | 14:00 - 16:00 |
| Wednesday | 2022.05.19 | 14:00 - 16:00 |
| Tuesday | 2022.05.23 | 14:00 - 16:00 |
| Wednesday | 2022.05.24 | 14:00 - 16:00 |
Where: Room 1201 Dal Passo
Organizing Committee: Lucia Caramellino (Contatto E-Mail).
Speaker: Vlad Bally (Université Gustave Eiffel, France)
Title: "Introduction to rough paths"
Speaker: Vlad Bally (Université Gustave Eiffel, France)
Title: "Introduction to rough paths"
Abstract: Rough path theory has been initiated in the last 90's by Terry Lyons in [1]. Then, in the last 20 years it has had a tremendous development, including the "regularity structures" theory of Hairer (we will not touch to this last topic in our course). And nowadays this is still an extremely active area of research. The aim of this theory is to construct a variant of the stochastic integral which is "pathwise". Moreover one solves Stochastic Differential Equations (SDEs) with the usual stochastic integral replaced by the "rough integral". This gives an application defined on the space of continuous functions C([0,T]) which, under the Wiener measure, produced the solution of the SDE. We stress that the classical theory of stochastic flows (due to Kunita, Bismut, and many others) produces a "strong solution" of the SDE, which is exactly such an application. But there is a crucial progress here: in the classical case, the flow produces a solution "almost surely" with an exception set depending on the coefficients of the SDE, whereas in the rough path theory the exception set is independent of the coefficients (in some sense it is universal). Moreover, a continuity property of the application, with respect to a specific norm (the "rough path norm") is proved. Nowadays there are many text books devoted to this subject. They are more or less difficult to read because of a rather heavy technical background. The aim of this introductory course is to give an elementary and simple approach to the main ideas in this theory. But of course, this is just a first step and a deep knowledge of the theory needs to read one of these books. I strongly recommend the beautiful book [2] of Friz and Hairer (which I will more or less follow).