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


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Prossimi Seminari

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Seminari Passati

  • Long-time asymptotics for evolutionary crystal dislocations models
    Matteo Cozzi, University of Bath
    martedì 17 dicembre 2019 alle ore 15:30, Aula seminari 3° piano
    In this talk, I will discuss a recent result concerning the long-time behavior of solutions to evolutionary Peierls-Nabarro type equations, related to crystal dislocations.
    I will present the construction of solutions that, at large times, behave like a superposi- tion of an arbitrary finite number of fundamental dislocations, equally oriented and centered near points that evolve according to a repulsive dynamical system.
    This result has been obtained in collaboration with J. D ?avila and M. del Pino (University of Bath).
  • 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
    The ability to measure the heart, its shape, its structure and its function across multiple spatial and temporal scales continues to grow. Interpreting this data remains challenging. Computational biophysical models of the heart allow us to quantitatively link and interpret these large disparate data sets within the context of known cardiac physiology and invariable physical constraints. Within these models, we can infer unobservable states, propose and test new hypothesis and predict how systems will respond to challenges increasing our ability to interrogate and understand biological systems. We are increasingly applying this approach to modelling human hearts to investigate clinical applications. In this presentation, I will give an overview on our modelling work simulating anthracycline-induced heart failure, how we are using models of individual patients to study cardiac resynchronisation therapy and how we are using simulations to characterise the anatomy and pathophysiology of atrial fibrillation patients. Finally, I will present some of our preliminary results on simulating the four-chamber heart to begin simulating the interactions between atrial and ventricular function.


    This seminar is organized within the ERC-2016-ADG Research project iHEART - An Integrated Heart Model for the simulation of the cardiac function, that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 740132)
  • The mysteries of L-values
    Sarah Zerbes, University College London
    martedì 10 dicembre 2019 alle ore 14:00, Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50
    L-functions are one of the central objects of study in
    number theory. There are many beautiful theorems and many more open
    conjectures linking their values to all kinds of arithmetic problems.
    I will talk about the mysteries surrounding these L-values and
    describe some of the progress that has recently been made towards
    understanding them.
  • Explainability, intepretability and sensitivity analysis
    Emanuele Borgonovo, Department of Decision Sciences, BIDSA, Bocconi University, Milano
    venerdì 6 dicembre 2019 alle ore 14:30, Aula Saleri - VI piano

    A growing research activity is developing for increasing interpretability of machine findings. When complex architectures are used, analysts are, in fact, exposed to the black-box effect. This seminar will review several methods used both in the machine learning and in the simulation community to make the black box more transparent. We shall discuss tools such as partial dependence functions, layerwise relevance propagation, as well as present several local and global sensitivity analysis methods, also proposing new tools and new findings on popular tools.

  • 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
    L’obiettivo del seminario è riflettere su come, a partire dai dati restituiti dal Servizio Nazionale di Valutazione, si possano intraprendere azioni di consolidamento e miglioramento all’interno dalla propria classe, e non concentrarsi su cosa fare per preparare le prove INVALSI. Questo viene realizzato esplicitando il legame delle domande con le Indicazioni Nazionali e con le prassi didattiche, e utilizzando gli opportuni costrutti della didattica. Particolare rilievo verrà dato al fatto che gli obiettivi di apprendimento alla base delle pratiche d'aula sono fissati dalle Indicazioni Nazionali e non dalle prove che invece forniscono informazioni su come questi obiettivi sono raggiunti
  • Propagation of singularities for solutions to Hamilton-Jacobi equations
    Piermarco Cannarsa, Università di Roma Tor Vergata
    lunedì 2 dicembre 2019 alle ore 15:30, Sala Consiglio del 7 piano, Dipartimento di Matematica, Via Ponzio 31-33, Milano
    The study of the structural properties of the set of points at which the viscosity solution of a first order Hamilton-Jacobi equation fails to be differentiable - in short, the singular set - started with the paper [On the singularities of viscosity solutions to Hamilton-Jacobi-Bellman equations, Indiana Univ. Math. J. 36 (1987), pp.501-524] by Mete Soner and myself. These thirty years have registered enormous progress in the comprehension of the way how singularities propagate: a fine measure theoretical analysis of the singular set has been developed, it has been understood how singular dynamics is driven by generalised characteristics, and deep topological applications to the structure of the cut locus on a Riemannian manifold have been pointed out. In this talk, I will revisit the milestones of the theory and discuss possible developments and open problems.
  • 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
    In questo seminario intendo esporre un argomento molto importante della geometria dello spazio, anche se, talvolta, questo viene trascurato, o presentato superficialmente, nei programmi della scuola superiore: i poliedri. Dopo avere introdotto la loro definizione e le loro principali proprietà, sarà mostrata la loro presenza nella natura, nella vita quotidiana e nell’arte, partendo dall’antica Grecia fino ad arrivare ai nostri giorni. Anzitutto saranno trattati i poliedri regolari; successivamente sarà introdotta l’importante famiglia, soprattutto nelle applicazioni, dei poliedri archimedei. Infine, saranno presentati gli interessanti poliedri di Goldberg
  • Zero-dimensional symmetry, or locally profinite groups
    George Willis, University of Newcastle, Australia
    giovedì 21 novembre 2019 alle ore 16:00, Aula U5-3014 (Edificio 5, terzo piano) del Dipartimento di Matematica e Applicazioni dell'Università di Milano-Bicocca, in Via Cozzi 55
    Automorphism groups of discrete structures such as graphs carry a totally disconnected topology: both the groups and the structures they act on are thus zero-dimensional. The group topology is often non-discrete, and it has been found in recent years that there is a strong interplay between the algebraic and topological properties of these groups.
    Totally disconnected locally compact groups are, it turns out, locally profinite and have a rich structure theory which has parallels with the theory of Lie groups, although it is more complicated.
    This theory is still being developed and, in addition to Lie theory, draws on results about finite groups and from geometric group theory.
    Summarising progress so far, an analysis of the locally profinite structure of the groups corresponds to the local theory of Lie groups, and a canonical form for group elements corresponds to eigendecomposition in the Lie algebra of a Lie group. A decomposition theory separates the cases of discrete and profinite groups, which are treated as negligible, from cases which are not negligible such as simple Lie groups over $p$-adic or function fields and automorphism groups of regular trees.
    The techniques developed have been applied so far to answer questions about ergodic theory, random walks and arithmetic groups.