Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


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Prossimi Seminari

  • A mathematical-physics approach to machine learning
    Pierluigi Contucci, Dipartimento di Matematica Università di Bologna
    giovedì 30 gennaio 2020 alle ore 14:00, Aula Saleri VI piano
  • Modeling and simulation of thermo-poroelastic processes in fractured geothermal reservoirs
    Eirik Keilegavlen, Department of Mathematics, University of Bergen, Norway
    giovedì 20 febbraio 2020 alle ore 11:30, Aula Saleri - VI piano

Seminari Passati

  • Inverse Problems in Adaptive Optics
    Ronny Ramlau, RICAM, Austrian Academy of Sciences, Linz, Austria
    mercoledì 8 maggio 2019 alle ore 14:00, Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    The image quality of ground based astronomical telescopes suffers from turbulences in the atmosphere. Adaptive Optics (AO) systems use wavefront sensor measurements of incoming light from guide stars to determine an optimal shape of deformable mirrors (DM) such that the image of the scientific object is corrected after reflection on the DM(s). The operation of the AO systems of the new generation of large astronomical telescopes under construction requires new mathematical methods that achieve reconstruction in real time. In the talk we will in particular focus on methods for wavefront reconstruction from pyramid sensor data and an analysis of the atmospheric tomography operator.

  • Regularity for the p-Laplace equation and system in minimally regular domains
    Andrea Cianchi, Università di Firenze
    mercoledì 8 maggio 2019 alle ore 16:00, Aula Seminari del 6 piano, Edificio La Nave, Via Ponzio 32-34
    Some aspects of the global regularity of solutions to boundary value problems for nonlinear elliptic equations and systems of p-Laplacian type will be discussed. In particular, second-order regularity properties of solutions, and the boundedness of their gradient will be focused. The results to be presented are optimal as far as the regularity of the right-hand sides of the equations and of the boundary of the ground domains are concerned. The talk is based on joint researches with V.Maz'ya.
  • Financial stability and macroprudential policy
    Stefano Borgioli, European Central Bank
    martedì 7 maggio 2019 alle ore 17:00, Aula seminari del sesto piano
    Financial stability can be defined as a condition in which the financial system – which comprises financial intermediaries, markets and market infrastructures – is capable of withstanding shocks and the unravelling of financial imbalances. In the seminar we discuss some financial stability analysis tools and the implications on macroprudential policy at ECB.
  • Mirror symmetry and smoothing toric Fano 3-folds
    Alessio Corti, Imperial College Londra
    lunedì 6 maggio 2019 alle ore 14:00, Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50, Milano
    I describe some conjectures on smoothing toric Fano 3-folds
    motivated by mirror symmetry.
  • Markovian Extensions of Symmetric Second Order Elliptic Differential Operators
    Andrea Posilicano, Università degli Studi dell'Insubria
    martedì 30 aprile 2019 alle ore 15:15, Aula seminari 3° piano
    We give a complete classification of the Markovian self-adjoint extensions of the minimal realization of a second order elliptic differential operator on a bounded n-dimensional domain by providing an explicit one-to-one correspondence between such extensions and the class of Dirichlet forms on the boundary which are additively decomposable by the bilinear form of the Dirichlet-to-Neumann operator plus a Markovian form. By such a result two further equivalent classifications are provided: the first one is expressed in terms of a decomposition of the bilinear forms associated to the extensions, the second one uses the decomposition of the resolvents provided by the Krein formula. The Markovian part of the decomposition allows to characterize the operator domain of the corresponding extension in terms of Wentzell-type boundary conditions. Some analogous results hold also in a nonlinear setting.
  • Limit Theorems for the Fractional Non-homogeneous Poisson Process
    Enrico Scalas, University of Sussex
    martedì 16 aprile 2019 alle ore 14:30, Aula seminari del sesto piano
    The fractional non-homogeneous Poisson process was introduced by a time-change of the non-homogeneous Poisson process with the inverse ?-stable subordinator. We propose a similar definition for the (non-homogeneous) fractional compound Poisson process. We give both finite-dimensional and functional limit theorems for the fractional non-homogeneous Poisson process and the fractional compound Poisson process. The results are derived by using martingale methods, regular variation properties and Anscombe's theorem. Eventually, some of the limit results are verified in a Monte Carlo simulation.

    This is a joint work with Nikolai Leonenko and Mailan Trinh.
  • MATLAB Tools for Large-Scale Linear Inverse Problems
    James Nagy, Emory University
    lunedì 15 aprile 2019 alle ore 14:30, Aula Seminari 'Saleri' VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    Inverse Problems Inverse problems arise in a variety of applications: image processing, finance, mathematical biology, and more. Mathematical models for these applications may involve integral equations, partial differential equations, and dynamical systems, and solution schemes are formulated by applying algorithms that incorporate regularization techniques and/or statistical approaches. In most cases these solutions schemes involve the need to solve a large-scale ill-conditioned linear system that is corrupted by noise and other errors. In this talk we describe and demonstrate capabilities of a new MATLAB software package that consists of state-of-the-art iterative methods for solving such
    systems, which includes approaches that can automatically estimate regularization parameters, stopping iterations, etc., making them very simple to use. Thus, the package allows users to easily incorporate into their own applications (or simply experiment with) different iterative methods and regularization strategies with very little programming effort. On the other hand, sophisticated users can also easily access various options to tune the algorithms for certain applications. Moreover, the package includes several test problems and examples to illustrate how the iterative methods can be used on a variety of large-scale inverse problems.
    The talk will begin with a brief introduction to inverse problems, discuss considerations that are needed to compute an approximate solution, and describe some details about new efficient hybrid Krylov subspace methods that are implemented in our package. These methods can guide users in automatically choosing regularization parameters, and can be used to enforce various regularization schemes, such as sparsity. We will use imaging examples that arise in medicine and astronomy to illustrate the performance of the methods. This is joint work with Silvia Gazzola (University of Bath) and Per Christian Hansen (Technical University of Denmark).

  • Problemi di frontiera libera nelle scienze applicate
    Sandro Salsa, Politecnico di Milano
    mercoledì 10 aprile 2019 alle ore 12:15, Politecnico di Milano Campus Bonardi Edificio14 aula B21