Sala Seminari (Dip. Matematica)

Optimal transport with relativistic cost: continuity and Kantorovich potentials for generic cost functions

Abstract.
The optimal transport problem consists in minimizing the total energy
of the displacement among all the (vector-valued) functions having
prescribed image measure. In this talk we are interested in a particular
case of cost functions: c is given by h(y-x) where h is convex, has a
bounded domain and is bounded on this domain. The fact that it takes
infinite value makes, in particular, complicated the existence of
solutions for the dual problem.
The strategy consists in introducing a "time-parameter" t>0 and in

Data Seminario: 
Wednesday, November 11, 2015
Relatore: 
Jean Louet
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Un q,t-analogo dei numeri di Narayana

Relatore: 
Michele D'Adderio

Diamo un'introduzione paradigmatica alla combinatoria algebrica attraverso l'esempio menzionato nel titolo.

Data Seminario: 
Friday, October 30, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
Université Libre de Bruxelles
Ora Inizio: 
Saturday, January 1, 0000 - 15:30

The optimal reinforcement for a membrane and low congested regions.

Relatore: 
Serena Guarino Lo Bianco
We study how to rigidify an elastic membrane under the action of an exterior load $f$ and fixed at its boundary by adding a one-dimensional reinforcement in the most efficient way; the reinforcement is described by a one-dimensional set $S\subset\Omega$ which varies in a suitable class of admissible choices. We consider also the dual problem of a given region $\Omega$ where the traffic flows according to two regimes: in a region $C$ we have a low congestion, where in the remaining part $\Omega\setminus
Data Seminario: 
Wednesday, October 14, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:30
Affiliazione: 
Università di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 14:30

A variational approach to nonlocal and crystalline curvature flows

Relatore: 
Marcello Ponsiglione
Abstract. In this seminar I will introduce a generalized notion of (local and nonlocal) perimeter and curvature. Then, I will describe the corresponding geometric flows, showing the coherence between variational methods (based on the minimizing movements approach) and viscosity methods. Finally, I will describe a new approach to existence and uniqueness of crystalline curvature flows. The results presented in this seminar are in collaboration with A. Chambolle and M. Morini.
Data Seminario: 
Wednesday, October 28, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Università di Roma La Sapienza
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Convergence of thresholding schemes for geometric flows

Relatore: 
Tim Laux
Abstract. The thresholding scheme, a time discretization for mean-curvature flow was introduced by Meriman, Bence and Osher in 1992. In the talk we present new convergence results for modern variants of this scheme, in particular in the multi-phase case with arbitrary surface tensions. The first result establishes convergence towards a weak formulation of mean-curvature flow in the BV-framework of sets of finite perimeter. The proof is based on the interpretation of the thresholding scheme as a minimizing movement scheme by Esedoglu and Otto in 2014. This
Data Seminario: 
Wednesday, October 21, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Max Planck Institute for Mathematics in the Sciences, Leipzig
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Sulla proprietà di Lusin generalizzata/ On a generalized Lusin property

Relatore: 
Giovanni Alberti
Depending on the audience the seminar could be held in english. Abstract. In questo seminario descriverò alcuni risultati sulla proprietà di Lusin generalizzata per mappe di Sobolev ottenuto in collaborazione con M. Csörnyei, E. D’Aniello e B. Kirchheim, accennandone alcune applicazioni. Secondo la definizione base, una mappa $f$ da $R^n$ in sé soddisfa la proprietà (N) di Lusin se porta insiemi di misura (di Lebesgue) nulla in insiemi di misura nulla. La formula dell’area mostra chiaramente che
Data Seminario: 
Wednesday, October 14, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Università di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Bordi all'infinito di filling di Dehn algebrici

Tipo Seminario: 
Relatore: 
Alessandro Sisto

Il filling di Dehn è un importante metodo per costruire 3-varietà
iperboliche chiuse a partire da 3-varietà iperboliche di volume finito.
Questa costruzione ha un analogo algebrico per gruppi relativamente iperbolici, e ne studieremo l'effetto sul bordo all'infinito del gruppo. Vedremo quindi come questo permette di dimostrare che due versioni della congettura di Cannon sono equivalenti.
Basato su una collaborazione con D. Groves e J. Manning.
 

Data Seminario: 
Thursday, October 29, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
ETH Zurich
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Global solvability of the Kirchhoff equation with Gevrey data

Tipo Seminario: 
Relatore: 
Tokio Matsuyama

This talk is based on a joint work with Michael Ruzhansky and it is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space. More precise results are derived for solutions in the s-Gevrey classes. Furthermore, similar results are obtained for the initial-boundary value problems in bounded domains and in exterior domains with compact boundary.

Data Seminario: 
Monday, August 31, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 19:00
Affiliazione: 
Chuo University, Tokyo
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

A non-local variational problem arising from studies of nonlinear charge screening in graphene monolayers

Relatore: 
Cyrill Muratov

This talk is concerned with energy minimizers in an orbital-free density functional theory that models the response of massless fermions in a graphene monolayer to an out-of-plane external charge. The considered energy functional generalizes the Thomas-Fermi energy for the charge carriers in graphene layers by incorporating a von-Weizsaecker-like term that penalizes gradients of the charge density.

Data Seminario: 
Wednesday, July 15, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
NJIT
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Torus surgery in the 4-sphere

Tipo Seminario: 
Relatore: 
Kyle Larson

I will introduce the operation of torus surgery in the 4-sphere,
and describe some recent results concerning which 4-manifolds can be produced in this way and the uniqueness of such descriptions. As
motivation I will discuss analogous results and problems about Dehn
surgery on knots in the 3-sphere. I will also discuss some applications to embedding 3-manifolds into 4-manifolds.

Data Seminario: 
Wednesday, July 8, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Università di Austin (Texas)
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

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