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

 Seminari

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Prossimi Seminari

  • Pricing and hedging in rough Heston models
    Omar El Euch, Spire Europe Limited
    martedì 22 ottobre 2019 alle ore 14:15, Aula seminari del terzo piano
  • Symmetry results for critical $p$-Laplace equations
    Giulio Ciraolo, Università degli Studi di Milano
    mercoledì 23 ottobre 2019 alle ore 15:15, Aula seminari 3° piano
  • Clinical Personalization of Computational Models of Total Heart Function
    Gernot Plank, Medical University of Graz, Austria
    giovedì 24 ottobre 2019 alle ore 14:00, Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • One Hunderd Years of Universes
    John Barrow, University of Cambridge
    martedì 29 ottobre 2019 alle ore 11:30, Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
  • On Mean Field Games
    Pierre-Louis Lions, Collège de France
    martedì 29 ottobre 2019 alle ore 14:40, Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
  • On the Power of Geometric Illustration in Mathematics and Science
    Roger Penrose, University of Oxford
    martedì 29 ottobre 2019 alle ore 16:00, Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
  • Maths goes social: usare i meme per fare matematica in classe
    Giulia Bini, Università degli Studi di Torino
    mercoledì 30 ottobre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14 - via Ponzio 31/p
  • Quantum Hydrodynamics: physical models and mathematical theory
    Piero Marcati, DISIM, Università de L' Aquila & Gran Sasso Science Institute (GSSI)
    lunedì 4 novembre 2019 alle ore 14:15, aula Saleri VI piano
  • La retromarcia in Matematica: invertire formule, funzioni, operatori
    Anna Salvadori, Primo Brandi, Università di Perugia
    mercoledì 13 novembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Construction and Validation of Subject-Specific Biventricular Finite-Element Models of Healthy and Failing Swine Hearts From High-Resolution Diffusion Tensor MRI
    Julius Guccione, Surgery Division of Adult Cardiothoracic Surgery, University of California San Francisco (UCSF)
    martedì 19 novembre 2019 alle ore 15:00, aula consiglio VII piano
  • Geometrie non Euclidee e Teorie Fisiche
    Marco Pedroni, Università di Bergamo
    mercoledì 20 novembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Un viaggio nel mondo dei poliedri
    Giuseppe Conti, Università di Firenze
    mercoledì 27 novembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Come utilizzare le prove invalsi nella pratica d’aula
    Alice Lemmo, Università degli studi dell’Aquila
    mercoledì 4 dicembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Translating cardiac models into the clinic
    Steven Niederer, Biomedical Engineering, King’s College London
    giovedì 12 dicembre 2019 alle ore 14:00,  Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Nonlinear Peridynamic Models
    Giuseppe Maria Coclite, Politecnico di Bari
    mercoledì 22 gennaio 2020 alle ore 15:15, Aula seminari 3° piano

Seminari Passati

  • On the modelling of particle and pedestrian motion with Fokker-Planck equations
    Alfio Borzì, University of Wuerzburg -Germania-
    giovedì 4 aprile 2019 alle ore 14:00, Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    ABSTRACT
    Since the pioneering works of A. Einstein, M. von Smoluchowski, and P. Langevin, stochastic processes and the related Fokker-Planck equations have been used to model irregular motion in different situation. These equations are also considered to be adequate for modelling the motion of one pedestrian and of a crowd of people under certain circumstances. Therefore they can play a central role in the design of control strategies for different purposes as well as in the analysis and calibration of microscopic models of pedestrian interaction. The purpose of this talk is to review some mathematical results in this field, which includes different modelling issues concerning the optimal control of a single pedestrian subject to perturbation, the development of a new framework for pedestrians' avoidance dynamics based on the formulation of a Nash game, and a new approach to the analysis of superresolution 2D images of moving molecules on a cell membrane to obtain quantitative results on the organization of the membrane and on the interaction between the molecules.

    [1] M. Annunziato, A. Borzì, A Fokker-Planck control framework for stochastic systems, EMS Surveys In Mathematical Sciences, 5 (2018), 65-98.
    [2] M. Annunziato, A. Borzì, A Fokker-Planck control framework for multidimensional stochastic
    processes, Journal of Computational and Applied Mathematics, 237 (2013), 487-507.
    [3] S. Roy, A. Annunziato, A. Borzì, C. Klingenberg, A Fokker-Planck approach to control collective motion, Computational Optimization and Applications, 69 (2018), 423-459.
    [4] S. Roy, A. Annunziato, A. Borzì, A Fokker-Planck feedback control-constrained approach for modelling crowd motion, Journal of Computational and Theoretical Transport, 45 (2016), 442-458.
    [5] S. Roy, A. Borzì, A. Habbal, Pedestrian motion modelled by Fokker-Planck Nash games, Royal Society open science, 4, (2017) 170648-17.

    Contact: marco.verani@polimi.it

  • Stima del valore aggiunto di scuola: stato dell'arte del modello INVALSI e prospettive. Quali implicazioni di policy?
    Tommaso Agasisti, Politecnico di Milano
    mercoledì 3 aprile 2019 alle ore 12:15, Politecnico di Milano Campus Bonardi Edificio14 aula B21
  • Simplicial splines for representation of density functions
    Karel Hron e Jitka Machalova, Palacky University di Olomouc
    martedì 2 aprile 2019 alle ore 15:00 precise, Aula Seminari 'Saleri' VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    ABSTRACT
    In the context of functional data analysis, probability density functions as non-negative functions are characterized by specific properties of scale invariance and relative scale which enable to represent them with the unit integral constraint without loss of information. On the other hand, all these properties are a challenge when the densities need to be approximated with spline functions, including construction of the respective B-spline basis. The Bayes space methodology of density functions enables to express them as real functions in the standard L2 space using the clr transformation. The resulting functions possess the zero integral constraint. This is a key to propose a new B-spline basis, holding the same property, and consequently to build a new class of spline functions, called simplicial splines, which can approximate probability density functions in a consistent way. The contribution provides also construction of smoothing simplicial splines and possi!
    ble orthonormalization of the B-spline basis which might be useful in some applications. Finally, a concise analysis using simplicial splines is demonstrated with anthropometric data for the case of simplicial functional principal component analysis.

    Contact alessandra.menafoglio@polimi.it
  • Some remarks on the forces exerted by a viscous fluid on a bluff body
    Gianmarco Sperone, Politecnico di Milano
    giovedì 28 marzo 2019 alle ore 15:15, Aula seminari 3° piano
    ABSTRACT
    The theory of flight developed by Kutta, Lanchester and Zhukovsky is mainly based on the idea that a cambered surface produces lift through its ability to generate a vortex about itself. Since fluid flows around an obstacle generate vortices which are difficult to locate and to describe, in this talk we analyze the Stokes and Navier-Stokes equations for the two-dimensional motion of a viscous fluid in the exterior of a fixed obstacle. Firstly, we discuss nonstandard boundary conditions for the Stokes equations on a smooth obstacle, allowing for the generation of turbulence over the leeward wall of the body. Secondly, after studying the connection between the appearance of lift and the unique solvability of the Navier-Stokes equations, we show some numerical results that compare the aerodynamic response of different non-smooth obstacles, as the inlet velocity is increased until reaching the critical Reynolds number. The talk accounts for results contained in two articles prepared in collaboration with Filippo Gazzola and Andrei Fursikov (Moscow State University).
  • Laser "su misura" per il trattamento di tumori
    Paola Saccomandi, Politecnico di Milano
    mercoledì 27 marzo 2019 alle ore 12:15, Politecnico di Milano Campus Bonardi Edificio14 aula B21
  • L’avventura dell'infinitamente piccolo oltre il bosone di Higgs: LHC e i futuri super-acceleratori del CERN
    Lucio Rossi, CERN
    mercoledì 20 marzo 2019 alle ore 12:15, Politecnico di Milano Campus Bonardi Edificio14 aula B21
  • Il futuro dell'uomo nello Spazio: Marte prossima frontiera
    Luigi Bignami, Giornalista scientifico
    mercoledì 13 marzo 2019 alle ore 12:15, Politecnico di Milano Campus Bonardi Edificio14 aula B21
  • The SQRA Operator: Convergence Behaviour and Applications
    Martin Heida, Weierstrass Institute Berlin
    mercoledì 13 marzo 2019 alle ore 15:15 precise, Aula Seminari III piano
    ABSTRACT
    The Squareroot Approximation Operator (SQRA) is a numerical FV-operator that has recently been derived by M. Weber and coworkers and has the form of a discrete spatial chemical master equation. We use methods from stochastic homogenization to prove convergence in the context of high dimensional numerical implementation. We furthermore show that the SQRA is equivalent with the Scharfetter-Gummel scheme and use this insight to prove convergence of order 1 of both schemes in low dimensional settings. This is particularly possible due to a deep connection between the SQRA and the gradient structure of the Fokker-Planck equation discussed by Jordan, Kinderlehrer and Otto. We finally discuss physical implications of our insights and possible future applications to hydrodynamic limits arising in the modelling of organic semiconductors.