Seminario Dottorato - UNIPD Dip. Matematica
Seminario Dottorato - UNIPD Dip. Matematica
-
From Corrado Marastoni
INTRODUCTION TO SUB-RIEMANNIAN GEOMETRY We discuss the general notions of sub-Riemannian geometry. In particular, we study in parallel a toy sub-Riemannian model taken… -
From Corrado Marastoni
CHAOTIC DYNAMICAL SYSTEMS AND APPLICATIONS TO THE SOLAR SYSTEM DYNAMICS Dynamical systems are an essential tool to model physical phenomena in applied sciences whose… -
From Corrado Marastoni
KOLMOGOROV-ARNOLD-MOSER (KAM) STABILITY AND ITS APPLICATION IN THE PLANETARY n-BODY PROBLEM The study of exoplanetary systems with two or more planets in orbits with… -
From Corrado Marastoni
THE GRAPH p-LAPLACIAN EIGENVALUE PROBLEM In the last years graphs have been used to model a large variety of phenomena, such as the classical transportation networks,… -
From Corrado Marastoni
OPTIMAL CONTROL PROBLEMS: EXISTENCE OF MINIMIZERS, NECESSARY CONDITIONS, AND GAP PHENOMENA By optimal control problem we mean the minimization of a functional over arcs… -
From Corrado Marastoni
BEYOND NASH EQUILIBRIA IN MEAN FIELD GAMES The concept of Nash Equilibrium is the most important (and famous) notion in Game Theory. Assuming that the audience is not… -
From Corrado Marastoni
MODULAR CURVES AND HEEGNER POINTS One the the main open conjecture is the one due to Birch and Swinnerton-Dyer about elliptic curves. There are many attempts to prove… -
From Corrado Marastoni
OPTIMIZING SMOOTH FUNCTIONS ON CONVEX SETS WITHOUT PROJECTIONS The well known gradient descent method for smooth unconstrained optimization can be extended in a… -
From Corrado Marastoni
THE CRITICAL NODE/EDGE DETECTION PROBLEM ON TREES Critical node or edge detection problems are a family of optimization problems defined on graphs, where one is required… -
From Corrado Marastoni
MATHEMATICAL FINANCE: A TALE OF STOCHASTIC PROCESSES Financial markets are highly uncertain environments where the evolution of asset prices exhibits random… -
From Corrado Marastoni
EMBEDDINGS OF SPACES WITH MULTIWEIGHTED DERIVATIVES AND THEIR APPLICATIONS The analysis of function spaces is particularly relevant in several areas of Mathematics such… -
From Corrado Marastoni
THE MODULARITY THEOREM AND FERMAT'S LAST THEOREM Fermat’s Last Theorem (FLT) is one of the most important and challenging problems of the last centuries in… -
From Corrado Marastoni
Introducing the 2021/22 activity of the School (Giovanni Colombo, Coordinator) -
From Corrado Marastoni
SYNCHRONIZATION AND ASYMPTOTIC DYNAMICS OF MECHANICAL SYSTEMS: AN INTRODUCTION Synchronization is a fascinating and eye-catching phenomenon, which spontaneously emerges… -
From Corrado Marastoni
AN INTRODUCTION TO SINGULAR CONTROL PROBLEMS THROUGH AN ELECTRICITY MARKET MODEL We start motivating this seminar with the following question: at which electricity price…