italianoITA
Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Department Manager: Dr.ssa Franca Di Censo


News

19/12/2017



SCIENZA in SCENA ATTO 1!

15/12/2017



The 2017 Polisocial Award goes to the project TEEN
 more

14/12/2017



quando la matematica prende forma.......

04/12/2017



Premio INDAM, SIMAI e UMI

15/11/2017


13/11/2017



Colazione in laboratorio: il Rettore incontra il QFinLab

05/10/2017



4 ottobre 2017: la prima CACCIA AL TESORO FINANZIARA

28/09/2017


13/09/2017



Meet Me Tonight 2017
29 & 30 settembre Giardini Indro Montanelli

26/07/2017



Colazione al Lab Mox: il rettore incontra i giovani ricercatori
25 luglio 2017

17/05/2017



PhD and PostDoc Positions at MOX - ERC Project iHEART
 more

15/05/2017



MOOC “Finanza per Tutti”

15/05/2017



Il Corso di Studi in Architettura incontra Massimo Osanna
giovedì 18 maggio alle ore 14.15 in aula 9.02
 more

11/05/2017



2017 Euler Lecture will be held by Alfio Quarteroni
 more

02/05/2017



Sentire la Matematica
Un Week End di Matematica e Arte

30/03/2017



ERC Advanced Grant to Alfio Quarteroni
 more

17/03/2017



presso lo stand di Ingegneria Matematica (posizionato nel chiostro dell’edificio 3)

15/03/2017



Al Dr. Mikel Landajuela, postdoc al MOX, è stato assegnato il SMAI-GAMNI prize 2017 per la migliore tesi di dottorato francese dell'anno in metodi numerici per scienze meccaniche e di ingegneria

09/02/2017



Polimi Finance Lunch Seminar 2017

06/02/2017



Seminari di Cultura Matematica anno 2017 XVI ciclo
a cura di Anna Maria Paganoni e Giulio Magli

10/01/2017



Incontro con Syusy Blady
25 gennaio 2017 - ore 15.00 Aula Rogers - Via Ampere 2

10/01/2017


  About us...

Upcoming Events

  • apr 30 tue 2019

    Seminar
    Andrea Posilicano, Markovian extensions of symmetric second order elliptic differential operators,  04-30-2019, 15:15
    logo matematica
    • Seminar
    • Andrea Posilicano
    • Università degli Studi dell'Insubria
    • Markovian extensions of symmetric second order elliptic differential operators
    • Tuesday, 30 April 2019 at 15:15
    • Aula seminari 3° piano
    • Abstract
      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.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 06 mon 2019

    Seminar
    Alessio Corti, Mirror symmetry and smoothing toric fano 3-folds,  05-06-2019, 14:00
    logo matematica
    • Seminar
    • Alessio Corti
    • Imperial College Londra
    • Mirror symmetry and smoothing toric fano 3-folds
    • Monday, 6 May 2019 at 14:00
    • Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50, Milano
    • Abstract
      I describe some conjectures on smoothing toric Fano 3-folds
      motivated by mirror symmetry.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 08 wed 2019

    Seminar
    Giovanni Corrao, Errori sistematici e confondimento degli studi osservazionali basati sui dati dal mondo reale,  05-08-2019, 12:15
    logo matematica
    • Seminar
    • Giovanni Corrao
    • Università degli Studi di Milano-Bicocca
    • Errori sistematici e confondimento degli studi osservazionali basati sui dati dal mondo reale
    • Wednesday, 8 May 2019 at 12:15
    • Politecnico di Milano Campus Bonardi Edificio14 aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 08 wed 2019

    MOX Seminar Series
    Ronny Ramlau, Inverse problems in adaptive optics,  05-08-2019, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Seminar Series
    • Ronny Ramlau
    • RICAM, Austrian Academy of Sciences, Linz, Austria
    • Inverse problems in adaptive optics
    • Wednesday, 8 May 2019 at 14:00
    • Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      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.

      Contact christian.vergara@polimi.it
    • Ronny Ramlau
      Prof Ronny Ramlau had his Diploma (1994) and his PhD (1997) in Mathematics in both at the Potsdam University, and did his Habilitation at the University of Bremen in 2003. He is professor for Industrial Mathematics at the Johannes Kepler University, Linz since 2008. Since 2013 he is Director at the Johann Radon Institute of Computational and Applied Mathematics (RICAM) at the Austrian Academy of Sciences, Linz. He is involved in many research projects either as PI or as collaborator. His main scientific interests are nonlinear inverse problems, regularization methods, medical imaging, industrial applications and mathematical methods in astronomy.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 08 wed 2019

    Seminar
    Andrea Cianchi, Regularity for the p-laplace equation and system in minimally regular domains,  05-08-2019, 16:00
    logo matematica
    • Seminar
    • Andrea Cianchi
    • Università di Firenze
    • Regularity for the p-laplace equation and system in minimally regular domains
    • Wednesday, 8 May 2019 at 16:00
    • Aula Seminari del 6 piano, Edificio La Nave, Via Ponzio 32-34
    • Abstract
      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.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 09 thu 2019

    MOX Seminar Series
    Jinchao Xu, Deep learning, finite element and multigrid methods,  05-09-2019, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Seminar Series
    • Jinchao Xu
    • CCMA, Pennsylvania State University
    • Deep learning, finite element and multigrid methods
    • Thursday, 9 May 2019 at 14:00
    • Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      In this talk, I will first discuss relationship between some deep learning models and traditional algorithms such as finite element and multigrid methods. Such relationships can be used to study, explain and improve the model structures, mathematical properties and relevant training algorithms for deep neural networks. I will report a class of new training algorithms that can be used to improve the efficiency of convolutional neural networks (CNN) by significantly reducing the redundancy of the model without losing accuracy. By combining multigrid and deep learning methodologies, I will present a unified model, known as MgNet, that simultaneously recovers some CNNs for image classification and multigrid methods for solving discretized PDEs. MgNet can also be used to derive a new class of CNNs that mathematically unify many existing CNN models and practically prove to be computationally competitive.

      Contact: alfio.quarteroni@polimi.it
    • Jinchao Xu
      Jinchao Xu holds the titles of Verne M. Willaman Professor of Mathematics, Director of the Center for Computational Mathematics and Applications at the Pennsylvania State University and he also holds the Changjiang Professorship at Peking University. He was a plenary speaker at the International Congress for Industrial and Applied Mathematics in 2007 and a 45-minute invited speaker at the International Congress for Mathematicians in 2010. He is a Fellow of the Society for Industrial and Applied Mathematics (SIAM) and also a fellow in the inaugural class of the American Mathematical Society (AMS).
      Xu’s research specialty is numerical methods for partial differential equations that arise from modeling scientific and engineering problems. One major research interest is in multigrid methods, especially developing, designing, and analyzing fast methods for solving large-scale systems of equations. His work ranges from studying fundamental theoretical questions in numerical analysis to developing and applying numerical algorithms for practical applications. He is, perhaps, best known for the Bramble-Pasciak-Xu preconditioner — an algorithm that is one of the two most fundamental multigrid approaches to solve large-scale discretized partial differential equations. He is also noted for the Hiptmair-Xu preconditioner, which was featured in 2008 by the U.S. Department of Energy as one of the top 10 breakthroughs in computational science in recent years. Xu earned his doctoral degree at Cornell University in 1989. He joined the Pennsylvania State University in 1989 as an assistant professor of mathematics, and was promoted to associate professor in 1991 and professor in 1995. He was named a Distinguished Professor of Mathematics in 2007.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 13 mon 2019

    Seminar
    Roberto Natalini, Modelli matematici degli aggregati cellulari: batteri, protisti, cellule staminali,  05-13-2019, 16:00
    logo matematica
    • Seminar
    • Roberto Natalini
    • Istituto per le Applicazioni del Calcolo - CNR - Roma
    • Modelli matematici degli aggregati cellulari: batteri, protisti, cellule staminali
    • Monday, 13 May 2019 at 16:00
    • Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50, Milano
    • Abstract
      Da qualche anno a questa parte nel mondo matematico sono in corso molte ricerche
      per cercare di descrivere in modo soddisfacente e predittivo il comportamento
      di aggregati cellulari a vari livelli di evoluzione e organizzazione.
      Questi modelli possono aiutare biologi e medici a validare meglio la loro ricerca,
      esplorando ipotesi ed alternative altrimenti impraticabili.
      In questo seminario esporrò alcuni risultati che ho ottenuto negli ultimi anni su alcuni di questi problemi: crescita di biofilm, movimento di protisti su reti, morfogenesi.
      I modelli matematici sono tutti di tipo differenziale e hanno in comune il movimento a velocità finita delle cellule, pur in contesti matematici abbastanza diversi.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 14 tue 2019

    Seminar
    Alberto Tesei, Soluzioni a valori misure di equazioni di evoluzione nonlineari,  05-14-2019, 14:30
    logo matematica
    • Seminar
    • Alberto Tesei
    • Università degli Studi di Roma "La Sapienza"
    • Soluzioni a valori misure di equazioni di evoluzione nonlineari
    • Tuesday, 14 May 2019 at 14:30
    • Aula seminari 3° piano
    • Abstract
      Soluzioni a valori misure si presentano in modo naturale per importanti classi di equazioni di evoluzione nonlineari (equazione dei mezzi porosi, equazioni "forward-backward", leggi di conservazione). Nel seminario saranno esposti alcuni recenti risultati di esistenza, unicità e comportamento qualitativo di soluzioni entropiche
      a valori misure di Radon di leggi di conservazione iperboliche in una dimensione spaziale, con flusso limitato e lipschitziano. Tempo permettendo, sarà discusso il legame fra tali soluzioni e soluzioni viscose discontinue di equazioni di Hamilton-Jacobi. I risultati presentati sono contenuti in alcuni lavori con M. Bertsch, F. Smarrazzo e A. Terracina.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 14 tue 2019

    Seminar
    Fabio Cipriani, How to hear the shape of a drum,  05-14-2019, 15:30
    logo matematica
    • Seminar
    • Fabio Cipriani
    • Politecnico di Milano
    • How to hear the shape of a drum
    • Tuesday, 14 May 2019 at 15:30
    • Aula seminari 3° piano
    • Abstract
      In a iconic 1912 paper Hermann Weyl, motivated by problems posed by the physicist H.A. Lorentz about J.H. Jeans's radiation theory, showed that the dimension and the volume of a Euclidean domain may be traced from the asymptotic distribution of the eigenvalues of its Laplace operator.
      In a as much famous 1966 paper titled "Can one hear the shape of a drum" Marc Kac popularized this and related problems connecting geometry and spectrum. He noticed that the hope to characterize {\it isometrically}, Euclidean domains or compact Riemannian manifolds by the spectrum of the Laplace operator, is vain: John Milnor in 1964 had showed the existence of non isometric 16 dimensional tori sharing a common (discrete) spectrum.

      The aim of the talk is to show how to recognize {\it conformal maps} between Euclidean domains as those homeomorphisms which transform multipliers of the Sobolev-Dirichlet spaces of a domain into multipliers of the other and leave invariant the {\it fundamental tone} or {\it first nonzero eigenvalue} of the Dirichlet integral with respect to the energy measures of any multiplier. Related results hold true for {\it quasiconformal and bounded distortion maps}.
      In the opposite direction, we prove that the trace of the Dirichlet integral, with respect to the energy measure of a multiplier, is a Dirichlet space that only depends upon the orbit
      of the conformal group of the Euclidean space on the multiplier algebra.

      The methods involve potential theory of Dirichlet forms (changing of speed measure, multipliers) and the Li-Yau conformal volume of Riemannian manifolds.

      This is a collaboration with Jean-Luc Sauvageot C.N.R.S. France et Universit\'e Paris 7.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 15 wed 2019

    Seminar
    Pasquale Ciarletta, Forma e complessità in natura: perché il mondo è matematico?,  05-15-2019, 12:15
    logo matematica
    • Seminar
    • Pasquale Ciarletta
    • Politecnico di Milano
    • Forma e complessità in natura: perché il mondo è matematico?
    • Wednesday, 15 May 2019 at 12:15
    • Politecnico di Milano Campus Bonardi Edificio14 aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 22 wed 2019

    Seminar
    Giulia Di Nunno, Matematica, società, economia e sviluppo,  05-22-2019, 12:15
    logo matematica
    • Seminar
    • Giulia Di Nunno
    • University di Oslo
    • Matematica, società, economia e sviluppo
    • Wednesday, 22 May 2019 at 12:15
    • Politecnico di Milano Campus Bonardi Edificio14 aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 29 wed 2019

    Seminar
    Francesca Piredda, Comunicare il progetto. storytelling e tecniche di rappresentazione,  05-29-2019, 12:15
    logo matematica
    • Seminar
    • Francesca Piredda
    • Politecnico di Milano
    • Comunicare il progetto. storytelling e tecniche di rappresentazione
    • Wednesday, 29 May 2019 at 12:15
    • Politecnico di Milano Campus Bonardi Edificio14 aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • may 30 thu 2019

    MOX Seminar Series
    Piotr Smolarkiewicz, Semi-implicit finite-volume integrators for all-scale atmospheric dynamics,  05-30-2019, 14:00
    logo matematica
    MOX
    MOX Numeth
    MOX Compgeo

    • MOX Seminar Series
    • Piotr Smolarkiewicz
    • European Centre for Medium-Range Weather Forecasts, Reading, Berkshire, United Kingdom
    • Semi-implicit finite-volume integrators for all-scale atmospheric dynamics
    • Thursday, 30 May 2019 at 14:00
    • Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      This talk outlines a novel numerical approach for accurate and computationally efficient integrations of PDEs governing all-scale atmospheric dynamics. Such PDEs are not easy to handle, due to a huge disparity of spatial and temporal scales as well as a wide range of propagation speeds of natural phenomena captured by the equations. Moreover, atmospheric dynamics constitutes only a small perturbation about dominant balances that result from the Earth gravity, rotation, composition of its atmosphere and the energy input by the solar radiation. Maintaining this mean equilibrium, while accurately resolving the perturbations, conditions the design of atmospheric models and subjects their numerical procedures to stringent stability, accuracy and efficiency requirements.
      The novel Finite-Volume Module of the Integrated Forecasting System (IFS) at ECMWF (hereafter IFS-FVM) solves perturbation forms of the fully compressible Euler/Navier-Stokes equations under gravity and rotation using non-oscillatory forward-in-time semi-implicit time stepping and finite-volume spatial discretisation. The IFS-FVM complements the established semi-implicit semi-Lagrangian pseudo-spectral IFS (IFS-ST) with the all-scale deep-atmosphere formulation cast in a generalised height-based vertical coordinate, fully conservative and monotone advection, flexible horizontal meshing and a predominantly local communication footprint. Yet, both dynamical cores can share the same quasi-uniform horizontal grid with co-located arrangement of variables, geospherical longitude-latitude coordinates and physics parametrisations, thus facilitating their synergetic relation.
      The focus of the talk is on the mathematical/numerical formulation of the IFS-FVM with the emphasis on the design of semi-implicit integrators and the associated elliptic Helmholtz problem. Relevant benchmark results and comparisons with corresponding IFS-ST results attest that IFS-FVM offers highly competitive solution quality and computational performance.

      Contact: luca.bonaventura@polimi.it
    • Piotr Smolarkiewicz
      Piotr Smolarkiewicz received M.Sc. and Ph.D. degrees from the University of Warsaw, in geophysics and physical sciences in 1973 and 1980, respectively. In 1981, he went to Boulder, Colorado, to join as a post-doctoral fellow in the Advanced Study Program at the National Center for Atmospheric Research (NCAR). Since 1973, he has been an assistant professor at the Department of Physics, University of Warsaw. After the post-doctoral appointment, since 1983 he has been a scientist at NCAR, in the rank of Senior Scientist since 1994. In 2005-2006, he served as an NCAR Science Advisor, and since 2007 he has been the Head of the Computational Mathematics Group at the Institute for Mathematics Applied to Geosciences (IMAGe) of NCAR. In 2013 he joined the Research Department of the European Centre for Medium-Range Weather Forecasts (ECMWF) as a consultant. Piotr's research centres on computational fluid dynamics (CFD), with particular emphasis on all-scale geophysical circulations and basic fluid dynamic of rotating stratified flows. He is the principal developer of the multi-scale, multi-physics, high-performance research code EULAG built on high-resolution transport methods MPDATA, which he has originated and developed at NCAR. Piotr’s interests include scientific computing, geophysical flows of all scales, solar dynamo, physics of plasmas, non-Newtonian fluids, and dynamics of continuous media. His current activities at ECMWF focus on the development of an interdisciplinary forecasting system (PantaRhei) for simulating multi-scale fluid flows.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • jun 06 thu 2019

    Seminar
    Filippo Riva, On the quasistatic limit for a debonding model in dimension one; a vanishing inertia and viscosity approach,  06-06-2019, 15:15
    logo matematica
    • Seminar
    • Filippo Riva
    • SISSA
    • On the quasistatic limit for a debonding model in dimension one; a vanishing inertia and viscosity approach
    • Thursday, 6 June 2019 at 15:15
    • Aula seminari 3° piano
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • jul 22 mon 2019

    jul 24 wed 2019

    WorkShop
    Rism 2019 - modelling the cardiac function - iheart
    07/22/2019 - 07/24/2019
    logo matematica
    • WORKSHOP
    • MCF2019
      Rism 2019 - modelling the cardiac function - iheart
    • organizers
      A. Quarteroni, L. Dedè, A. Manzoni, S. Serra-Capizzano, C. Vergara, P. Zunino
    • This congress, organised in the context of the prestigious Riemann International School of Mathematics, aims at focusing on the state of the art in the mathematical modelling and numerical simulation of the cardiac function and its clinical applications. This event will host 8 plenary lectures from distinguished scientists as well as contributed talks some presented by PhD students and some by senior researchers, and a poster session. PhD students selected for contributed presentation will be offered free accommodation. The Congress is organized by RISM and MOX - Politecnico di Milano, and is partially supported by the EU ERC-ADG - Advanced Grant iHEART Project ID: 740132 - iheart.polimi.it
    • Monday, 22 July 2019 - Wednesday, 24 July 2019
      Villa Toeplitz - Varese
    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

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