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Pagina d'informazione di seminari ed eventi scientifici che avranno luogo settimanalmente per lo più in area romana. Per la pubblicazione rivolgersi a Giorgio Chiarati che ne cura la gestione. Per consultare la pagina di tutti i seminari di Dipartimento Click here.

 

Settimana 27/02/2022 - 03/03/2022

 

 

Seminari

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 


DIFFERENTIAL EQUATIONS SEMINAR

Date: 1 March 2022
Schedule: 15:00 - Rome Time
Where: Conference Room "R. Dal Passo"
Speaker: Felix Otto (Max-Planck-Institut, Lipsia)
Title: " Optimal matching, optimal transportation, and its regularity theory "

Abstract: The optimal matching of blue and red points is prima facie a combinatorial problem. It turns out that when the position of the points is random, namely distributed according to two independent Poisson point processes in $d$-dimensional space, the problem depends crucially on dimension, with the two-dimensional case being critical [Ajtai-Koml\'os-Tusn\'ady]. Optimal matching is a discrete version of optimal transportation between the two empirical measures. While the matching problem was first formulated in its Monge version (p=1), the Wasserstein version (p=2) connects to a powerful continuum theory. This connection to a partial differential equation, the Monge-Ampere equation as the Euler-Lagrange equation of optimal transportation, enabled [Parisi~et.~al.] to give a finer characterization, made rigorous by [Ambrosio~et.~al.]. The idea of [Parisi~et.~al.] was to (formally) linearize the Monge-Ampere equation by the Poisson equation. I present an approach that quantifies this linearization on the level of the optimization problem, locally approximating the Wasserstein distance by an electrostatic energy. This approach (initiated with M.~Goldman) amounts to the approximation of the optimal displacement by a harmonic gradient. Incidentally, such a harmonic approximation is analogous to de Giorgi's approach to the regularity theory for minimal surfaces. Because this regularity theory is robust --- measures don't need to have Lebesgue densities --- it allows for sharper statements on the matching problem (work with M.~Huesmann and F.~Mattesini).

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 di Roma "Tor Vergata"
Dipartimento di Matematica

 


ALGEBRA AND REPRESENTATION THEORY SERMINAR

Date: Friday, March 3rd, 2023
Schedule: 14:30 Rome Time
Where: Conference Room 1201 “Roberta Dal Passo”
Speaker: Kirill ZAYNULLIN (University of Ottawa)
Title: " Oriented cohomology of a linear algebraic group vs. localization in 2-monoidal categories "

Abstract: The Chow ring CH(G) of a split semi-simple linear algebraic group G is one of the key geometric invariants in the theory of linear algebraic groups, torsors, motives of twisted flag varieties. Starting from pioneering works by Grothendieck and Borel, it has been studied for decades and computed for all simple groups (see e.g. Kac 1985, Duan 2015's). In the present talk we explain how to describe (and, hence, to compute) an oriented cohomology (Borel-Moore homology) functor A(G) using the localization techniques of Kostant-Kumar and the techniques of 2-monoidal categories: we show that the natural Hopf-algebra structure on A(G) can be lifted to a 'bi-Hopf' structure on the T-equivariant cohomology AT(G/B) of the complete flag variety. More generally, we prove that the structure algebra of a Bruhat moment graph of a root system is a Hopf algebroid with respect to the right Hecke and left Brion-Knutson-Tymoczko actions. As an application, we obtain an effective combinatorial way to compute the coproduct on A(G).
This is a joint work with Martina Lanini and Rui Xiong.

Organizing Committee:
Fabio Gavarini (mail to)
Martina Lanini (mail to)
Further Info: Click here

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
Reading course on Birational Geometry
Period: 2023.10.01 - 2023.06.06
Schedule:

Day Time and Room
2023.10.01 h:14:30/15:30 Conference Room 1103 "F.DE Blasi"
2023.17.01 h: 11:00/13:00 Conference Room 1103 "F.DE Blasi"
2023.24.01 h: 11:00/13:00 Conference Room 1103 "F.DE Blasi"
2023.31.01 h: 11:00/13:00 Conference Room 1103 "F.DE Blasi"
2023.17.02 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.07.02 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.14.02 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.21.02 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.28.02 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.07.03 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.14.03 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.21.03 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.28.03 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.04.04 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.11.04 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.18.04 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.02.05 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.09.05 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.16.05 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.23.05 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.30.05 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"
2023.06.06 h: 11:00/13:00 Conference Room 1103 "R.Dal Passo"

Organizing Committee:
Codogni Giulio (Contact Mail)
Rapagnetta Anronio (Contact Mail)
Further Information: Click here for geometry webpage and Reading course on Birational Geometry Page