Bollettino settimanale
Settimana 21/11/2022 - 25/11/2022
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Algebra and Representation Theory Seminar
Date: Friday November 25th, 2022
Schedule: 14:30 Rome Time
Where: Conference Room 1201 “Roberta Dal Passo”
Speaker: Giovanni GAIFFI (Università di Pisa)
Title: "Combinatorial aspects of the cohomology of compactifications of toric arrangements"
Abstract:
I will describe how to construct monomial bases for the integer cohomology rings
of compact wonderful models of toric arrangements. In the description of the monomials various combinatorial
objects come into play: building sets, nested sets, and the fan of a suitable toric variety. In particular,
I will focus on the case of the toric arrangements associated with root systems of type A.
Here the combinatorial description of these basis offers a geometrical point of view on the relation between
some eulerian statistics on the symmetric group.
This is a joint work with Oscar Papini and Viola Siconolfi.
Organizing Committee: Fabio Gavarini (mail to) - Martina Lanini (mail to)
Further Info: Click here for A.R.T.S. Page
Streaming Link (MS Teams): This seminar will be held in person
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Algebra and Representation Theory Seminar
Date: Friday November 25th, 2022
Schedule: 16:00 Rome Time
Where: Conference Room 1201 “Roberta Dal Passo”
Speaker: Alessandro IRACI (Università di Pisa)
Title: "Delta and Theta operators expansions"
Abstract:
Delta and Theta operators are two families of operators on symmetric functions that show remarkable combinatorial properties. Delta operators generalise the famous nabla operator by Bergeron and Garsia, and have been used to state the Delta conjecture, an extension of the famous shuffle theorem proved by Carlsson and Mellit. Theta operators have been introduced in order to state a compositional version of the Delta conjecture, with the idea, later proved successful, that this would have led to a proof via the Carlsson-Mellit Dyck path algebra. We are going to give an explicit expansion of certain instances of Delta and Theta operators when t=1 in terms of what we call gamma Dyck paths, generalising several results including the Delta conjecture itself, using interesting combinatorial properties of the forgotten basis of the symmetric functions.
Organizing Committee: Fabio Gavarini (mail to) - Martina Lanini (mail to)
Further Info: Click here Click here for A.R.T.S. Page
Streaming Link (MS Teams): This seminar will be held in person
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Geometry Seminar
Date: November 22th, 2022
Schedule: 14:30 Rome Time
Where: Conference Room 1201 "Roberta Dal Passo"
Speaker: Stefano Filipazzi (E.P.F.L.)
Title: " On the boundedness of elliptic Calabi-Yau threefolds "
Abstract: In this talk, we will discuss the boundedness of Calabi-Yau threefolds admitting an elliptic fibration.
First, we will review the notion of boundedness in birational geometry and its weak forms. Then, we will switch focus to Calabi-Yau varieties and
discuss how the Kawamata-Morrison cone conjecture comes in the picture when studying boundedness properties for this class of varieties. To conclude,
we will see how this circle of ideas applies to the case of elliptic Calabi-Yau threefolds.
This talk is based on work joint with C.D. Hacon and R. Svaldi.
Organizing Committee:
Codogni Giulio (Contact Mail)
Lido Guido Maria ( Contact Mail)
Onorati Claudio ( Contact Mail)
Further Information: Click here for Geometry Webpage
NOTE: For more information contact: Onorati Claudio Click here for 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: November 22th 2022
Schedule: 16:00 - Rome Time
Where: Conference Room 1201 "R. Dal Passo"
Title: " Benjamin-Feir instability of Stokes waves "
Speaker: Massimiliano Berti (S.I.S.S.A., Trieste)
Abstract: A classical subject in fluid mechanics regards the
spectral instability of traveling periodic water waves, called Stokes waves. Benjamin, Feir,
Whitam and Zhakarov predicted, through experiments and formal arguments, that Stokes waves in
sufficiently deep water are unstable, finding unstable eigenvalues near the origin of the complex plane,
corresponding to small Floquet exponents μ or equivalently to long-wave perturbations.
The first rigorous mathematical results have been given by Bridges-Mielke (’95) in finite depth and
by Nguyen-Strauss (’20) in infinite depth. On the other hand, it has been found numerically that when
the Floquet number μ varies, two eigenvalues trace an entire figure-eight. I will present a novel
approach to prove this conjecture fully describing the unstable spectrum. This is joint work with A.
Maspero and P. Ventura.
Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MATH@TOV CUP E83C18000100006.
Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MATH@TOV CUP E83C18000100006
Organizing Committee:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)
Further Info and Program: Click here for DIFFERENTIAL EQUATIONS SEMINAR Page
Streaming Link (MS Teams): This seminar will be held in person
Eventi
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Corso di Dottorato
INTRODUCTION TO LOEWNER THEORY IN ONE COMPLEX VARIABLE (PRELIMINARY PROGRAMME OF THE COURSE)
Where: Conference Room 1200 and Online
Speaker: Prof. Pavel Gumenyuk (Politecnico di Milano)
Period: 22.08.11 - 22.20.12
Schedule:
| Day | Time and Room |
|---|---|
| 2022.08.11 | 14:00 - 16:00 Conference Room 1200 |
| 2022.10.11 | 14:00 - 16:00 OnLine |
| 2022.22.11 | 14:00 - 16:00 OnLine |
| 2022.24.11 | 14:00 - 16:00 OnLine |
| 2022.29.11 | 14:00 - 16:00 OnLine |
| 2022.05.12 | 14:00 - 16:00 OnLine |
| 2022.06.12 | 14:00 - 16:00 OnLine |
| 2022.13.12 | 14:00 - 16:00 OnLine |
| 2022.15.12 | 14:00 - 16:00 OnLine |
| 2022.20.12 | 14:00 - 16:00 OnLine |
Organizing Committee: Fillippo Bracci (Contatto E-Mail)
Title: INTRODUCTION TO LOEWNER THEORY IN ONE COMPLEX VARIABLE
Title: INTRODUCTION TO LOEWNER THEORY IN ONE COMPLEX VARIABLE
Abstract: Topics of the course belong to Complex Analysis in one complex variable and are mainly related to problems in Conformal Mapping. At the same time, although it is not discussed in the course, the modern Loewner Theory has natural extension to several complex variables. Loewner Theory combines deep results from Complex Analysis with fundamental ideas from Dynamics and Lie Group Theory. It includes, as a special case, the theory of one-parameter semigroups, which is classically known to have important applications to time-homogeneous Markov processes. The course would be primarily useful for those students who are interested in Complex Anal- ysis (one and/or several variables) or whose who wish to refresh and deepen his/hers knowledge in one complex variable. Furthermore, the course is advisable for students in Probabilities, espe- cially for those who are interested in applications of Complex Analysis to Stochastic Processes. Finally, the course would be enjoyable for everybody who is curious to see how ideas and meth- ods from different parts of Analysis can work together in the unit disk of the complex plane.
Further Info: Click here
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
Corso di Dottorato
RoMaDS - Rome Center on Mathematics for Modeling and Data ScienceS
Where: Conference Room 1200
Speaker: Enrico Bozzo (Università di Udine) - Dario Fasino (Università di Udine)
Period: 22.22.11 - 22.24.11
Schedule:
| Day | Time and Room |
|---|---|
| 2022.22.11 | 14:00/18:00 Conference Room 1200 |
| 2022.23.11 | 10:00/14:00 Conference Room 1200 |
| 2022.24.11 | 14:00/18:00 Conference Room 1200 |
Organizing Committee:
Domenico Marinucci (Coordinator)
Filippo Bracci
Piermarco Cannarsa
Lucia Caramellino
Andrea Clementi
Giorgio Gambosi
Carla Manni
Michele Salvi
Benedetto Scoppola
Alfonso Sorrentino
Hendrik Speleers
Stefano Vigogna
Nicola Vittorio
Abstract/Programme:
Programma
Speaker: Enrico Bozzo
Title: Sistemi dinamici lineari su grafi
Argomenti:
• Grafi e matrici: concetti di connettività, matrice di adiacenza, matrici non negative, matrici primitive, teoria di Perron-Frobenius
• Matrici stocastiche e substocastiche, problema del consenso.
• Matrici Laplaciane e di Metzler, punti di equilibrio e consenso nel caso continuo, cenno ai sistemi compartimentali.
Speaker: Dario Fasino
Title: Metodi matriciali nell'analisi di reti complesse
Argomenti:
• Breve panoramica sulla scienza delle reti.
• Concetti classici di centralità basati su cammini minimi.
• Misure di centralità, somiglianza e distanza tra nodi basate su tecniche spettrali e funzioni di matrici.
• Catene di Markov a tempo discreto: Percorsi casuali classici e non-retrocedenti.
• Tecniche matriciali per la localizzazione di clusters, strutture core-periphery o quasi-bipartite.
• Introduzione ai percorsi casuali del secondo ordine: Tensori stocastici, PageRank nonlineare.
"Il corso fa parte delle attività del Progetto di Eccellenza Dipartimentale MATH@TOV (CUP E83C18000100006) e del centro RoMaDS"