Bollettino settimanale
Settimana 23/05/2022 - 27/05/2022
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
ALGEBRA AND REPRESENTATION THEORY SEMINAR (A.R.T.S.)
Date: Friday, May 27th, 2022
Schedule: 14:30 Rome Time
Where: Room 1201 "Roberta Dal Passo"
Speaker: Francesco Brenti (Università degli Studi Roma Tor Vergata)
Title: "Graphs, stable permutations, and Cuntz algebra automorphisms"
Abstract: Stable permutations are a class of permutations that arises in the study of the automorphism group of the Cuntz algebra. In this talk, after introducing the Cuntz algebra and surveying the main known results about stable permutations, I will present a characterization of stable permutations in terms of certain associated graphs. As a consequence of this characterization we prove a conjecture in [Advances in Math. 381 (2021) 107590], namely that almost all permutations are not stable, and we characterize explicitly stable 4 and 5-cycles.
This is a joint work with Roberto Conti and Gleb Nenashev.
Organizing Committee: Fabio Gavarini mail to) - Martina Lanini (mail to)
Further Info: Click here
Streaming Link (MS Teams): Click here
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica - Center for Mathematics and Theoretical Physics (C.M.T.P.)
PHYSICS AND MATHEMATICS SEMINAR
Date: Friday, May 25th, 2022
Schedule: 15:00 Rome Time
Where: Accademia Nazionale dei Lincei, Sala delle Scienze Fisiche, Palazzo Corsini, Via della Lungara 10, Rome.
Speaker: Bernard Derrida (E.N.S.), Giovanni Gallavotti (Università La Sapienza), Martin Hairer (Imperial College)
Title: " Cross fertilization between Physics and Mathematics - an event in honor of Gianni Jona Lasinio - "
Abstract:
This is the program with abstracts:
- 15:00 Opening
- 15:30 Derrida Large deviation functions of the density and of the current for diffusive systems (Abstract)
- 16:30 Coffee Break
- 17:00 Hairer Stochastic quantisation of Yang-Mills (Abstract)
- 18:00 Gallavotti Navier-Stokes equation: how relevant is its existence-uniqueness problem? (Abstract)
- 20:00 Dinner: There will be a social dinner in the yard of Accademia dei Lincei. Participant are encouraged to register.
Organizing Committee: Roberto Longo (mail to), Lorenzo Bertini, Alberto De Sole, Fabio Martinelli, Carlo Presilla.
Further Info: Click here
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
DIFFERENTIAL EQUATIONS SEMINARDate: Tuesday 24 May 2022
Schedule: 16:00 - Rome Time
Where: Room 1201 "R. Dal Passo"
Speaker: Marta Calanchi (Università degli studi di Milano)
Title: " Bifurcation of positive solution for a Neumann problem with indefinite weights"
Abstract: We consider eigenvalue problems and bifurcation of positive solutions for elliptic equations with indefinite weights and with Neumann boundary conditions. We give complete results concerning the existence and non-existence of positive solutions for the superlinear coercive and non-coercive problems, showing a surprising complementarity of the respective results. Joint work with Bernhard Ruf (Università degli Studi di Milano).
This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006.
Organizing Committee: Riccardo Molle (mail to) - Alfonso Sorrentino (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
DINAMIC SYSTEM SEMINARDate: Friday 27 May 2022
Schedule: 14:30 - Rome Time
Where: Room 1200 (Ex biblioteca storica)
Speaker: Matteo Tanzi (Courant Institute of Mathematical Sciences)
Title: " Self-sustaining measures for high-dimensional coupled maps with and without noise"
Abstract: I will describe the evolution of measures for coupled dynamical systems with/without noise where the number of coupled units is large, but finite. I will compare the evolution for the finite dimensional system with its thermodynamic limit, which is described by a nonlinear self-consistent transfer operator. In particular, I will give sufficient conditions for the equilibrium states of the thermodynamic limit to be “self-sustaining” for the finite dimensional system: These states are characterized by being “almost” invariant for the finite system, and although might be far from any stationary state, they describe the statistical behavior of the system for long transients whose duration scales exponentially with the number of coupled units.
Organizing Committee: Oliver J. Butteley ( Mail to)
Further Info:
Streaming Link (MS Teams):
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
DINAMIC SYSTEM SEMINARDate: Friday 27 May 2022
Schedule: 16:00 - Rome Time
Where: Room 1200 (Ex biblioteca storica)
Speaker: Kasun Fernando (SNS Pisa)
Title: "A bootstrap technique for dynamical systems"
Abstract: Despite their deterministic nature, dynamical systems often exhibit seemingly random behaviour. Consequently, a dynamical system is usually represented by a probabilistic model of which the unknown parameters must be estimated using statistical methods. When measuring the uncertainty of such parameter estimation, the bootstrap stands out as a simple but powerful technique. In this talk, I will introduce a bootstrap technique for dynamical systems and discuss its consistency and second-order efficiency using a novel continuous Edgeworth expansions for dynamical systems. This is a joint work with Nan Zou (Macquarie University).
Organizing Committee: Oliver J. Butteley ( Mail to)
Further Info:
Streaming Link (MS Teams):
Comunication
It is a pleasure to announce the opening of a ONE YEAR POSITION with possible renewal (pending on funds availability) of the following post-doct position at the Department of Mathematics of UNIVERISTÀ DI ROMA TOR VERGATA: Cod: F3-2022-0007.
"NONLINEAR PDE’S AND GEOMETRIC ANALYSIS IN GEOMETRY AND PHYSICS (MUR DIPARTIMENTI DI ECCELLENZA–CUP:E83C18000100006) DEPARTMENT OF MATHEMATICS"
ON LINE APPLICATIONS and further information at the following link: Click here for site
APPLICATIONS should be send from May 09-2022 (12:00) to May 29-2022 (12:00).
All the best,
Gabriella Tarantello
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 combinatoricsPeriod: 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
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 LearningPeriod: 2022.05.11 - 2022.06.30
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"
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 pathsPeriod: 2022.05.05 - 2022.05.24
Schedule:
Day Period Time Wednesday 2022.05.05 14:00 - 16:00 Tuesday 2022.05.11 14:00 - 16:00 Wednesday 2022.05.12 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"
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).
Further Info: Click here
Streaming Link (MS Teams): The lessons will be streamed via Microsoft Teams. Those interested can request to be included in the Teams classroom of the course or to receive the link to follow the lessons by writing an email to Lucia Caramellino.