Sala Seminari (Dip. Matematica)

Duality for the W_\infty Wasserstein distance

Relatore: 
Luigi De Pascale
Abstract. I will first give a short survey to recall the importance of convexity in the classical Monge problem. I will then introduce the $W_\infty$ Wasserstein distance and discuss the lack of convexity of the underlying problem. The next step will be to present the dual problem introduced in 2016 by Barron, Bocea and Jensen. The maximum value of this dual problem coincides with the minimum value of the transport problem but it is not clear that non trivial maximizers exist.
Data Seminario: 
Wednesday, March 7, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Universita' di Firenze
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

An introduction to ideal simplicial volume

Tipo Seminario: 
Relatore: 
Marco Moraschini

The simplicial volume is a homotopy invariant of compact manifolds introduced in 1982 by Gromov
in his pioneering paper "Volume and Bounded Cohomology". Roughly speaking, the simplicial volume
measures how difficult is to describe a manifold in terms of real singular chains.
In this talk, we will define the ideal simplicial volume, a variation of the ordinary simplicial volume for
compact manifolds with boundary. The main difference between ideal simplicial volume and the ordinary

Data Seminario: 
Wednesday, April 11, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
Università di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 15:30

A Phase Field Model for Thin Elastic Structures with Topological Constraint

Relatore: 
Patrick Dondl
Abstract. With applications in the area of biological membranes in mind, we consider the problem of minimizing Willmore’s energy among the class of closed, connected surfaces with given surface area that are confined to a fixed container. Based on a phase field model for Willmore’s energy originally introduced by de Giorgi, we develop a technique to incorporate the connectedness constraint into a diffuse interface model of elastic membranes.
Data Seminario: 
Wednesday, March 14, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Universita' di Freiburg
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Algebre skein di superfici a bordo

Tipo Seminario: 
Relatore: 
Francois Costantino

(Collaborazione con Thang Le) Le algebre skein delle superfici chiuse sono oggetti estremamente ricchi di struttura e studiati. Recentemente, partendo da lavori di Bonahon-Wong e di Muller, Thang Le ha definito una versione delle algebre skein per superfici a bordo. In questo seminario, dopo aver richiamato le definizioni di base, cercherò di spiegare perché questa versione delle algebre skein è particolarmente interessante e cercherò’ di dare un’idea dei risultati (ancora in corso di stesura) di una collaborazione con Thang Le che puntano ad inserire queste algebre in una costruzione di un

Data Seminario: 
Wednesday, February 28, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Université de Toulouse
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

A variational approach to the mean field planning problem

Tipo Seminario: 
Relatore: 
Carlo Orrieri

Abstract: In the talk we introduce the so-called mean field planning problem: a coupled system of PDEs, a forward continuity equation and a backward Hamilton-Jacobi equation. The problem can be viewed as a modification of the mean field games system as well as a generalization of the classical optimal transportation problem in its dynamic formulation à la Benamou-Brenier. We concentrate on the variational structure of the problem, from which a notion of weak solution can be given.

Data Seminario: 
Tuesday, January 30, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:30
Affiliazione: 
Univ. "La Sapienza"
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Rational points on Atkin-Lehner quotients of Shimura curves

Relatore: 
Florence Gillibert

Abstract: We are interested in proving the triviality of rational points over Atkin-Lehner's quo-
tients of Shimura curves. In fact it is conjectured that, except for nitely many exceptions,
these quotients only have special rational points.
Let p; q be prime numbers. We consider the quotient of the Shimura curve Xpq, of
discriminant pq, by the Atkin-Lehner involution wq. Under certain explicit congruence
conditions, known as the "cas non ramie de Ogg", Parent and Yafaev have found a

Data Seminario: 
Wednesday, February 7, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Pontificia Universidad Catolica Valparaiso
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

On the local-global divisibility and the Tate-Shafarevich group

Relatore: 
Gabriele Ranieri

On the local-global divisibility and the Tate-Shafarevich group.

Data Seminario: 
Wednesday, January 24, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Pontificia Universidad Catolica Valparaiso
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Un approccio variazionale alla regolarità delle frontiere libere singolari

Abstract. In questo seminario affronteremo il problema della regolarità delle frontiere libere associate ai minimi del funzionale di Bernoulli. In un celebre lavoro degli anni ottanta, Alt e Caffarelli dimostrarono che le frontiere libere di Bernoulli si possono decomporre in due insiemi disgiunti: l'insieme dei punti piatti (Reg), localmente dato dal grafico di una funzione liscia, e l'insieme dei punti singolari (Sing), di dimensione di Hausdorff al massimo d-5.
Data Seminario: 
Wednesday, February 7, 2018
Relatore: 
Bozhidar Velichkov
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

On the scaling limit of Onsager's molecular model for liquid crystals

Relatore: 
Yuning Liu
Abstract. We study the small Deborah number limit of the Doi-Onsager equation for the dynamics of nematic liquid crystals. This is a Smoluchowski-type equation that characterizes the evolution of a number density function, depending upon both particle position and its orientation vector, which lies on the unit sphere.
Data Seminario: 
Wednesday, January 17, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:15
Affiliazione: 
NYU University at Shanghai
Ora Inizio: 
Saturday, January 1, 0000 - 17:15

Singularity formation in critical parabolic equations

Tipo Seminario: 
Relatore: 
Monica Musso

 

Abstract: In this talk I will discuss some recent constructions of blow-up solutions for a Fujita type problem for power $p$ related to the critical Sobolev exponent. Both finite type blow-up (of type II) and infinite time blow-up are considered. This research program is in collaboration with C. Cortazar, M. del Pino and J. Wei.

Data Seminario: 
Wednesday, January 10, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
P.U.C. Chile
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

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