Sala Seminari (Dip. Matematica)

Convergence of general weakly asymmetric exclusion processes

Relatore: 
K. Matetski

In my ongoing work with J. Quastel we consider spatially periodic growth models built from weakly asymmetric exclusion processes with finite jump ranges and general jump rates. We prove that at a large scale and after renormalization these processes converge to the Hopf-Cole solution of the KPZ equation driven by Gaussian space-time white noise. In contrast to the celebrated result by L. Bertini and G. Giacomin (in the case of the nearest neighbour interaction) and its extension by A. Dembo and L.-C.

Data Seminario: 
Tuesday, May 2, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
University of Toronto
Ora Inizio: 
Saturday, January 1, 0000

Strutture quasi complesse sulle sfere

Relatore: 
Maurizio Parton

"Una varietà complessa è una varietà il cui modello locale è C^n, invece che R^n. Tra le varietà compatte, l'esempio più semplice è probabilmente la sfera S^2 vista come spazio proiettivo complesso CP^1. Quali altre sfere ammmettono una struttura complessa? A tutt'oggi non è chiaro se esistono strutture complesse su S^6.

Data Seminario: 
Friday, April 28, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
Università di Chieti-Pescara
Ora Inizio: 
Saturday, January 1, 0000

Optimizing the fractional power of a Diffusion operator

Abstract. We study an optimization problem with SPDE constraints, which has the peculiarity that the control parameter $s$ is the $s$-th power of the diffusion operator in the state equation. Before moving to the SPDE case, we first describe the result of Sprekels-Valdinoci for the PDE case. Then we discuss a suitable concept of solutions of the state equation and establish pathwise differentiability properties of the stochastic process w.r.t. the fractional parameter $s$. Finally, we show that under certain conditions on the noise, optimality conditions for
Data Seminario: 
Wednesday, April 26, 2017
Relatore: 
Carina Geldhauser
Ora Fine: 
Saturday, January 1, 0000
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000

TBA

Relatore: 
Cristina Trombetti
Data Seminario: 
Wednesday, May 10, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
Universita' di Napoli
Ora Inizio: 
Saturday, January 1, 0000

Scalar conservation laws with discontinuous flux

Relatore: 
Francesco Ghiraldin
Abstract. In the talk I will investigate the uniqueness of solutions of scalar conservation laws with discontinuous flux. While in the smooth setting this property follows from Kruzhkov's entropy inequalities, in the case of discontinuous fluxes these inequalities are not enough and additional dissipation conditions must be imposed at the discontinuity set of the flux. I will explain how any entropy solution admits traces on the discontinuity set of the flux field and use this to prove the validity of a generalized Kato inequality for any pair of solutions.
Data Seminario: 
Wednesday, May 3, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
Max Planck Institute Leipzig
Ora Inizio: 
Saturday, January 1, 0000

Numerical study of 1D optimal structures

Relatore: 
Edouard Oudet
Abstract. We focus our attention on shape optimization problems in which one dimensional connected objects are involved. Very old and classical problems in calculus of variation are of this kind: euclidean Steiner's tree problem, optimal irrigation networks, cracks propagation, etc. In a first part we quickly recall some previous work in collaboration with F. Santambrogio related to the functional relaxation of the irrigation cost. We establish a $\Gamma$-convergence of Modica and Mortola's type and illustrate its efficiency from a numerical point of
Data Seminario: 
Wednesday, April 19, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
Université Grenoble Alpes
Ora Inizio: 
Saturday, January 1, 0000

Embedding arithmetic hyperbolic manifolds

Tipo Seminario: 
Relatore: 
Leone Slavich

Given an n-dimensional hyperbolic manifold M, it is reasonable to ask whether or not it can be realized as a totally geodesic, embedded submanifold of an (n+1)-dimensional hyperbolic manifold. If this is true, we say that M geodesically embeds. Determining whether or not a hyperbolic manifolds geodesically embeds is, in general, quite difficult.

However, if we restrict our attention to the case of arithmetic manifolds of simplest type, (a class of manifolds constructed using tools from number theory), we can show that, in many cases, they do indeed embed geodesically.

Data Seminario: 
Wednesday, April 5, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000
Affiliazione: 
Università di Pisa
Ora Inizio: 
Saturday, January 1, 0000

Seminario di Teoria dei numeri - On some algebraic properties of the locally free class group

Relatore: 
Dott.Reynold Fregoli

Abstract:
Let N/K be a normal tame extension of number fields and let G := Gal(N/K)
be its Galois group. It is common knowledge that, under these conditions,
[O_N] lies in the locally free class group Cl(O_K[G]). What can be said about
the existence of a normal integral basis for the extension N/K, by knowing
the structure of the group Cl(O_K[G])? In some cases this problem is easily
settled via cancellation law.
There is also a rank notion for locally free modules over orders. Which

Data Seminario: 
Tuesday, April 4, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000
Ora Fine: 
Saturday, January 1, 0000

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