Seminario Dottorato - UNIPD Dip. Matematica
Seminario Dottorato - UNIPD Dip. Matematica
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9 plays 0INTRODUCTION 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… -
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17 plays 0CHAOTIC DYNAMICAL SYSTEMS AND APPLICATIONS TO THE SOLAR SYSTEM DYNAMICS Dynamical systems are an essential tool to model physical phenomena in applied sciences whose… -
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19 plays 0KOLMOGOROV-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… -
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15 plays 0THE 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,… -
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13 plays 0OPTIMAL CONTROL PROBLEMS: EXISTENCE OF MINIMIZERS, NECESSARY CONDITIONS, AND GAP PHENOMENA By optimal control problem we mean the minimization of a functional over arcs… -
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29 plays 0BEYOND 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… -
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16 plays 0MODULAR 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… -
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14 plays 0OPTIMIZING SMOOTH FUNCTIONS ON CONVEX SETS WITHOUT PROJECTIONS The well known gradient descent method for smooth unconstrained optimization can be extended in a… -
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9 plays 0THE 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… -
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10 plays 0MATHEMATICAL FINANCE: A TALE OF STOCHASTIC PROCESSES Financial markets are highly uncertain environments where the evolution of asset prices exhibits random… -
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12 plays 0EMBEDDINGS OF SPACES WITH MULTIWEIGHTED DERIVATIVES AND THEIR APPLICATIONS The analysis of function spaces is particularly relevant in several areas of Mathematics such… -
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41 plays 0THE 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… -
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104 plays 0Introducing the 2021/22 activity of the School (Giovanni Colombo, Coordinator) -
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25 plays 0SYNCHRONIZATION AND ASYMPTOTIC DYNAMICS OF MECHANICAL SYSTEMS: AN INTRODUCTION Synchronization is a fascinating and eye-catching phenomenon, which spontaneously emerges… -
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40 plays 0AN INTRODUCTION TO SINGULAR CONTROL PROBLEMS THROUGH AN ELECTRICITY MARKET MODEL We start motivating this seminar with the following question: at which electricity price…