Settimana 11/03/2024 - 15/03/2024

 

• Seminari

• Eventi

• Archivio Bollettini

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Seminari

 

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Geometry Seminar

Date: th March 2024

Schedule: 14:30 Rome Time

Where: Conference Room 1101 "C. D'Antoni "

Speaker: Andrea di Lorenzo - Humboldt University

Title: " Embedded deformations of curves with maximal variation of Hodge structure

Abstract:

Organizing Committee:
Codogni Giulio (Contact Mail)
Lido Guido Maria ( Contact Mail)

Further Information: Click here for geometry webpage

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

DIFFERENTIAL EQUATIONS SEMINAR

Date: 12th March 2024

Schedule: 14:30 - Rome Time

Where: Conference Room "R. Dal Passo"

Title: " Control-theoretic approach for the approximation of the optimal transport map "

Speaker: Alessandro Scagliotti - TU Munchen

Abstract: In this presentation, we tackle the problem of reconstructing the optimal transport map $T$ between two absolutely continuous measures $\mu,\nu \in \mathcal{P}(\mathbb{R}^n)$, and for this approximation we employ flows generated by linear-control systems in $\mathbb{R}^n$. We first show that, under suitable assumptions on the measures $\mu,\nu$ and on the controlled vector fields, the optimal transport map is contained in the $C^0_c$-closure of the flows generable by the system. In the case that discrete approximations $\mu_N,\nu_N$ of the measures $\mu,\nu$ are available, we use a discrete optimal transport plan to set up an optimal control problem. With a $\Gamma$-convergence argument, we prove that its solutions corresponds to flows that provide approximations of the optimal transport map $T$. Finally, in virtue of the Pontryagin Maximum Principle, we propose an iterative numerical scheme for the resolution of the optimal control problem, resulting in an algorithm for the practical computation of approximations of the optimal transport map. This approach can be interpreted as the construction of a ``Normalizing Flow'' by means of a Residual Neural Network (ResNet). Based on a joint work with Sara Farinelli.
[1] A. Scagliotti, S. Farinelli. Normalizing flows as approximations of optimal transport maps via linear-control neural ODEs. arXiv preprint, 2023.
Click here for arxiv File
Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MAT@Mod
Note: This talk is part of the activity of the MIUR Excellence Department Project MAT@Mod

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

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Operator Algebras Seminar

Date: 13th March 2024

Schedule: 16:00 - Rome Time

Where: Conference Room 1201 "R. Dal Passo"

Title: " The double semion model in infinite volume "

Speaker: Boris Bolvig Kjær - University of Copenhagen

Abstract: Abstract: According to physics literature, topologically ordered gapped ground states of 2-dimensional spin systems can be described by a topological quantum field theory. Many examples arise from microscopic models with local commuting projector Hamiltonians, namely Levin-Wen models. In this talk, I will describe the general framework for classifying infinite volume gapped ground states (by Naaijkens, Ogata, et.al.) in the simple context of abelian Levin-Wen models. This framework is heavily inspired by the DHR analysis in relativistic quantum field theory. It applies to the doubled semion model whose anyon theory is a braided fusion category equivalent to the representation category of the twisted Drinfeld double of Z_2.

Based on joint work with Alex Bols and Alvin Moon Click her for arxiv file

Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006)

Organizing Committee:
Vincenzo Morinelli (mail to contact)
Roberto Longo (mail to contact)
Daniele Guido (mail to contact)
Giuseppe Ruzzi (mail to contact)

Further Info: Click here for Operator Algebras Seminar Page

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica

 

Algebra and Representation Theory Seminar

Date: Friday March 15th, 2024

Schedule: 14:30 Rome Time

Where: Conference Room 1201 “Roberta Dal Passo”

Speaker: Anna MICHAEL - Universität Magdeburg

Title: "Folded galleries - a museum tour through 192 years of math history "

Abstract:

Folded galleries, as introduced by Peter Littelmann in the 1990s, are combinatorial objects related to certain (subsets of) elements of Coxeter groups. They have shown to have versatile applications in algebra and geometry, making them an object of interest for current research. In this talk we will retrace the roots of their invention 192 years back in history, contemplate colorful illustrations of examples, and discover open questions for future applications.
N.B.:
(1): the talk will be colloquium-style and aimed at a wide audience: no prerequisite of deep algebraic nor group theoretic knowledge is required;
(2): this talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).

Organizing Committee: Fabio Gavarini (mail to)
Niels Kowalzig (mail to)
Martina Lanini (mail to)

Further Info: Click here for webpage

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica

 

Algebra and Representation Theory Seminar

Date: Friday March 15th, 2024

Schedule: 16:00 - Rome Time

Where: Conference Room 1201 “Roberta Dal Passo”

Speaker: Christophe HOHLWEG - Université du Quebec à Montréal "

Title: "Shi arrangements in Coxeter groups"

Abstract:

Given an arbitrary Coxeter system (W,S) and a nonnegative integer m, the m-Shi arrangement of (W,S) is a subarrangement of the Coxeter hyperplane arrangement of (W,S). The classical Shi arrangement (m=0) was introduced in the case of affine Weyl groups by Shi to study Kazhdan-Lusztig cells for W. As two key results, Shi showed that each region of the Shi arrangement contains exactly one element of minimal length in W and that the union of their inverses form a convex subset of the Coxeter complex. The set of m-low elements in W was introduced to study the word problem of the corresponding Artin-Tits (braid) group and they turn out to produce automata to study the combinatorics of reduced words in W. In this talk, I will discuss how to Shi's results extend to any Coxeter system and show that the minimal elements in each Shi region are in fact the m-low elements. This talk is based on joint work with Matthew Dyer, Susanna Fishel and Alice Mark.
N.B.: this talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).

Organizing Committee:
Fabio Gavarini (mail to)
Niels Kowalzig (mail to)
Martina Lanini (mail to)

Further Info: Click here for webpage

Streaming Link (MS Teams): This seminar will be held in person

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Eventi

 

Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica

PhD Course
Rational Curves and Surfaces for Geometric Modelling
Period: 22.02.24 - 26.03.24

Speaker: Prof. Hartmut Prautzsch Karlsruhe Institute of Technology

Schedule:

22/02/24, 10:30 - 13:00 Aula D'Antoni
28/02/24, 10:30 - 13:00 Aula Dal Passo
29/02/24, 14:00 - 16:30 Aula D'Antoni
06/03/24, 10:30 - 13:00 Aula Dal Passo
07/03/24, 14:00 - 16:30 Aula D'Antoni
13/03/24, 10:30 - 13:00 Aula Dal Passo
14/03/24, 14:00 - 16:30 Aula D'Antoni
20/03/24, 10:30 - 13:00 Aula Dal Passo
21/03/24, 14:00 - 16:30 Aula D'Antoni
26/03/24, 14:00 - 16:30 Aula Dal Passo

• Program

Organizing Committee:
Carla Manni (Contact Mail)

Further Information: Click here for Phd Course Page

Streaming Link (MS Teams): This seminar will be held in person

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