Concorso pubblico per l'ammissione al Corso di Dottorato in Scienze Matematiche (XXXI ciclo) (Curriculi: Matematica, Matematica Computazionale) - A.A. 2015/2016

Concorso Pubblico per l’ammissione al
Corso di Dottorato in SCIENZE MATEMATICHE (XXXI ciclo)
(Curriculi: Matematica, Matematica Computazionale) – A.A. 2015/2016

Pubblicazione esito “valutazione titoli”
Si ricorda che la presente graduatoria ha carattere provvisorio. La graduatoria definitiva verrà pubblicata, come da bando di concorso (art. 8) dal 3 agosto 2015 mediante:

ValutazioneTitoli.pdf (Username: risultati2015, Password comunicata privatamente)

Why should people in approximation theory care about (pluri-)potential theory?

Wednesday 24 June 2015 h. 15:00, room 2BC30
Federico Piazzon (Padova, Dip. Mat.)
"Why should people in approximation theory care about (pluri-)potential theory?"

Abstract
We give an introductory summary of results in (pluri-)potential theory that naturally come into play when considering classical approximation theory issues both in one and (very concisely) in several complex variables. We focus on Fekete points and the asymptotic of orthonormal polynomials for certain $L^2$ counterpart of Fekete measures. No specific knowledge on the topic is assumed.

An introduction to derived categories

Wednesday 10 June 2015 h. 14:30, room 2BC30
Francesco Mattiello (Padova, Dip. Mat.)
"An introduction to derived categories"

Abstract
Derived categories were introduced in the sixties by Grothendieck and Verdier and have proved to be of fundamental importance in Mathematics.
Starting with a short review of the basic language of category theory, we will first introduce the notion of abelian category with the help of several examples. Then we will spend some time giving a thorough motivation for the construction of the derived category of an abelian category. Finally, we will look at a way to break a derived category into two pieces that permit (among other things) to recover the original abelian category.

Controllability and the numerical approximation of the minimum time function

Wednesday 27 May 2015 h. 14:30, room 2BC30
Thien Thuy Le Thi (Padova, Dip. Mat.)
"Controllability and the numerical approximation of the minimum time function"

Abstract
In optimal control theory, minimum time problems are of interest since they appear in many applications such as robotics, automotive, car industry, etc.. The scope of this talk is to give a brief introduction of these problems. Controllability conditions under various settings are considered. Such conditions play a vital role in studying the regularity of the minimum time function T(x). Moreover, we will also introduce the HJB equation associated with a minimum time problem and approaches to computing T(x) approximately.

Variational methods in nonlinear elasticity: an introduction

Wednesday 6 May 2015 h. 14:30, room 2BC30
Alice Fiaschi (Padova, Dip. Mat.)
"Variational methods in nonlinear elasticity: an introduction"

Abstract
After a brief introduction of the variational formulation for the standard model in nonlinear elasticity, we will consider the problem of finding the "right" space to describe the equilibrium configurations of an elastic body, from the point of view of the Calculus of Variations. In this framework, I will introduce the space of Young measures as a suitable space to describe materials exhibiting microstructures.

Preferences in AI

Wednesday 29 April 2015 h. 14:30, room 2BC30
Cristina Cornelio (Padova, Dip. Mat.)
"Preferences in AI"

Abstract
Artificial Intelligence (AI) is a field that has a long history but still constantly and actively growing and changing. The applications of AI are several, for example web search, speech recognition, face recognition, machine translation, autonomous driving, automatic scheduling etc. These are all complex real-world problems, and the goal of artificial intelligence (AI) is to tackle these with rigorous mathematical tools: machine learning, search, game playing, Markov decision processes, constraint satisfaction, graphical models, and logic.
Recently, a new concept became very important in AI: the use of preferences. Let's think about social networks, online shops, systems that suggest music or films. In this talk it is presented an overview on the main applications of preferences in AI, like recommender systems, multi-agent decision making, computational social choice, stable marriage problems, uncertainty in preferences and qualitative preferences.

Sobolev spaces, differential operators and multipliers

Wednesday 15 April 2015 h. 16:00, room 2BC30
Aigul Myrzagaliyeva (Padova, Dip. Mat. and Eurasian Nat. Univ. Astana)
"Sobolev spaces, differential operators and multipliers"

Abstract
In this talk, after recalling some basic notions of Sobolev spaces we give some examples, then we introduce differential operators and multipliers in pair of Sobolev spaces. We give the statement and motivation of the problem. Morever, we also present some open problems.

Zooming into p-adic curves

Wednesday 1 April 2015 h. 14:30, room 2BC30
Velibor Bojkovic (Padova, Dip. Mat.)
"Zooming into p-adic curves"

Abstract
The goal of the seminar is to introduce the audience to the basic notions of Berkovich geometry through a toy example of a p-adic projective curve. After recalling the basic properties of a p-adic field, we motivate Vladimir Berkovich's approach to studying geometry over such fields and go into describing the structure of compact p-adic curves.

Introduction to kernel-based methods

Wednesday 18 March 2015 h. 14:30, room 2BC30
Gabriele Santin (Padova, Dip. Mat.)
"Introduction to kernel-based methods"

Abstract
In this talk we give an introduction to kernel-based methods and to their application in different fields of applied mathematics.
We consider some examples that motivate the use of kernel-based techniques. Each example can be included in the same framework, but allows to show and discuss different features that arise naturally in the particular application. The examples deal with multivariate scattered data approximation, optimal recovery in Hilbert spaces, numerical solution of PDE, machine learning, and statistics.
After building up the fundamental tools of kernel-based methods, we will introduce the problem of the determination of optimal subspaces for kernel-based multivariate approximation. We will give some insight into the problem and discuss possible applications.

Automorphism-invariant modules

Wednesday 25 February 2015 h. 15:30, room 2BC30
Khanh Tung Nguyen (Padova, Dip. Mat.)
"Automorphism-invariant modules"

Abstract
In this talk, after recalling some basic concepts, we mention the class of injective modules, the class of quasi-injective modules and their generalization, the class of automorphism-invariant modules.
Next, we give some results related to the endomorphism rings of automophism-invariant modules and their injective envelopes.
Finally, we show a connection between automorphism-invariant modules and bolean rings.

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