Bollettino settimanale
Settimana 06/03/2022 - 10/03/2022
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
DIFFERENTIAL EQUATIONS SEMINAR
Date: 07 March 2022
Schedule: 14:30 - Rome Time - NEW SCHEDULE -
Where: Conference Room 1201 "R. Dal Passo"
Speaker: Nicolò Forcillo (Università di Roma "Tor Vergata")
Title: " The one-phase Stefan problem: perturbative techniques for the free boundary regularity. "
Abstract: In Stefan-type problems, free boundaries may not regularize instantaneously. In particular, there exist examples in which Lipschitz free boundaries preserve corners. Nevertheless, in the two-phase Stefan problem, I. Athanasopoulos, L. Caffarelli, and S. Salsa showed that Lipschitz free boundaries in space-time become smooth under a nondegeneracy condition, as well as sufficiently "flat" ones. Their techniques are based on the original work of Caffarelli in the elliptic case.
In this talk, we present a more recent approach to investigate the regularity of flat free boundaries for the one-phase Stefan problem. Specifically, it relies on perturbation arguments leading to a linearization of the problem, in the spirit of the elliptic counterpart already developed by D. De Silva. This talk is based on a joint work with D. De Silva and O. Savin.
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 10, 2023
Schedule: 14:30 Rome Time
Where: Conference Room 1201 “Roberta Dal Passo”
Speaker: Alexander PÜTZ (Ruhr-Universität - Bochum)
Title: " Desingularizations of Quiver Grassmannians for the Equioriented Cycle Quiver "
Abstract: Quiver Grassmannians are projective varieties parametrizing subrepresentations of quiver representations. Originating in the geometric study of quiver representations and in cluster algebra theory, they have been applied extensively in recent years in a Lie-theoretic context, namely as a fruitful source for degenerations of (affine) flag varieties. This approach allows for an application of homological methods from the representation theory of quivers to the study of such degenerate structures. The resulting varieties being typically singular, a construction of natural desingularizations is very desirable.
We construct torus equivariant desingularizations of quiver Grassmannians for arbitrary nilpotent representations of an equioriented cycle quiver. This applies to the computation of their torus equivariant cohomology.
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
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
ALGEBRA AND REPRESENTATION THEORY SERMINAR
Date: Friday, March 10, 2023
Schedule: 16:00 Rome Time
Where: Conference Room 1201 “Roberta Dal Passo”
Speaker: Evgeny FEIGIN (HSE [Mosca] & Weizmann Institute of Science [Israel])
Title: " Cauchy identities and representation theory "
Abstract: he celebrated Cauchy identity rewrites a certain infinite product as a sum of products of Schur functions.
The identity has a vast number of applications and interpretations; in particular, one can understand the infinite product as the character of polynomial
functions on the space of square matrices and the products of Schur functions as characters of tensor products of irreducible gl(n) modules.
The classical Cauchy identity has (at least) three natural generalizations: a nonsymmetric version, a q-version and their mixture. The representation theory of the nonsymmetric Cauchy is governed by the Borel subalgebra, the q-Cauchy identity is controlled by the representations of the current algebras and the nonsymmetric q-Cauchy identity has to do with the modules over the Iwahori algebra. We will discuss all these identities and explain the relevant representation theory.
Based on joint works with Anton Khoroshkin, Ievgen Makedonskyi and Daniel Orr.
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" |