### Prossimi Seminari

**Optimal Strategy for a Fund Manager with Option Compensation**

Marco Nicolosi, Università degli Studi di Perugia

martedì 30 maggio 2017 alle ore 12:30, Aula Seminari del Terzo Piano**Leggere i dati per progettare le politiche pubbliche per il nuovo millennio: una sfida (im)possibile**

Giovanni Azzone – Piercesare Secchi, Politecnico di Milano

mercoledì 31 maggio 2017 alle ore 12:15, Campus Leonardo, via Bonardi 9, aula De Donato**Astronome del passato – Una, nessuna o centomila?**

Gabriella Bernardi, Giornalista scientifico

mercoledì 7 giugno 2017 alle ore 12:15, Campus Leonardo, via Bonardi 9, Edificio 14 (Nave), aula B21**Dynamical inverse problems in glucose metabolism of cancer**

Michele Piana, Università di Genova, Dipartimento di Matematica

giovedì 15 giugno 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14**Imaging the brain microstructure with diffusion-weighted MRI**

Maxime Taquet, University of Louvain and Harvard Medical School

lunedì 26 giugno 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14**Dynamical low rank approximation of random time dependent PDEs**

Fabio Nobile, Mathematics Institute, CSQI, Ecole Polytechnique Fédérale de Lausanne, Switzerland

giovedì 29 giugno 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14**Numerical simulations of non-ideal compressible-fluid flows**

Alberto Guardone, Politecnico di Milano, Dipartimento di Scienze e Tecnologie Aerospaziali

giovedì 6 luglio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14**Multivariate Splines and Their Applications**

Ming-Jun Lai, Dept. of Math. University of Georgia, Athens, GA, USA

giovedì 20 luglio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14**SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS**

Barry Simon, California Institute of Technology

lunedì 30 ottobre 2017 alle ore 16:30, Aula Chisini, via Saldini 50**RANDOMNESS IN PARTIAL DIFFERENTIAL EQUATIONS**

Felix Otto, Max Plank Institute, Leipzig

lunedì 20 novembre 2017 alle ore 16:30, Aula Chisini, via Saldini 50

### Seminari Matematici Politecnico di Milano

### Seminari Matematici Milano e dintorni

### Archivio Seminari

**A posteriori error analysis and adaptive schemes for the wave equation**

Omar Lakkis, Free University of Bolzano-Bozen, Faculty of Computer Science and University of Sussex, GB

giovedì 25 maggio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14ABSTRACTAposteriori error estimates provide a rigorous foundation for the derivation of efficient adaptive algorithms for the approximation of solutions of partial differential equations (PDEs). While the literature is rich with results for the approximation of elliptic and parabolic PDEs, it is much less developed for the hyperbolic equations such as the acoustic or elastic wave equations. In this talk, I will review some of the “standard” aposteriori results for the scalar linear wave equation, including those of [1] and [2], and present recent improvements and further developments to lower order Sobolev norms based on Baker’s Trick [3] for backward Euler schemes. Subsequent focus will be given to practically relevant methods such as Verlet, Cosine, or Newmark methods, a popular example of which is the Leap-frog method [4].

Notes: This is based on joint work with E.H. Georgoulis, C. Makridakis and J.M. Virtanen.

References:

[1] W. Bangerth and R. Rannacher, J. Comput. Acoust. 9(2):575–591, 2001.

[2] C. Bernardi and E. Süli, Math. Models Methods Appl. Sci. 15(2):199–225, 2005.

[3] E. H. Georgoulis, O. Lakkis, and C. Makridakis. IMA J. Numer. Anal., 33(4):1245–1264, 2013, http://arxiv.org/abs/1003.3641

[4] E. H. Georgoulis, O. Lakkis, C. Makridakis, and J. M. Virtanen. SIAM J. Numer. Anal., 54(1), 2016, http://arxiv.org/abs/1411.7572**The isoperimetric problem**

Frank Morgan, Williams College

giovedì 25 maggio 2017 alle ore 16:30, Aula Chisini, via Saldini 50**A probabilistic view of the inelastic Boltzmann equation and generalized Kac equations**

Federico Bassetti, Dipartimento di Matematica, Università degli Studi di Pavia

giovedì 25 maggio 2017 alle ore 15:15 precise, Sala Maestrale, Tender, piano -1ABSTRACTIn this talk we present an overview of some results obtained on a class

of measure-valued nonlinear kinetic-type equations. We shall show how

suitable probabilistic techniques, essentially related to central limit

theorems and fixed point equations for distributions, can be fruitfully

used to study these equations. In the first part of the talk, we shall

briefly discuss existence, shape and dynamical stability of equilibria

for the class of one dimensional

generalized Kac equations, whose collisional operator is expressed in

term of a smoothing transformation.

This class of equations includes the well-known Kac model as well its

generalisation to inelastic collisions and also various models used in

econophysic.

In the second part of the talk we will show how the previous results

(partially) extend to the multidimensional homogeneous inelastic

Boltzmann equation.

The talk is based on some joint works with L. Ladelli, D. Matthes, E.

Perversi, E. Regazzini, and G. Toscani.**Iannis Xenakis: architetto della luce e del suono**

Alessandra Capanna, Università “La Sapienza” ? Roma

mercoledì 24 maggio 2017 alle ore 12:15, Campus Leonardo, via Bonardi 9, Edificio 14 (Nave), aula B21**Transference results from the $L^p$ continuity of operators in the Jacobi case to the $L^p$ continuity of operators in the Hermite and Laguerre case**

Wilfredo Urbina, Roosevelt University – Chicago USA

mercoledì 24 maggio 2017 alle ore 13:15, Aula seminari 3° pianoABSTRACTUsing the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials we develop a transference method to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the Laguerre-Riesz transform from the $L^p$-continuity of the Jacobi-Riesz transform, in dimension one as well as the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the Laguerre-Riesz transform from the $L^p$-continuity of the Jacobi-Riesz transform. The case of the corresponding Littlewood-Paley g-functions will also be discussed.**Copula Based Multivariate Semi-Markov Models with Applications in High-Frequency Finance**

Filippo Petroni, Università di Cagliari

martedì 23 maggio 2017 alle ore 14:00, Aula Seminari del Sesto Piano**Mathematical modeling in physiology and medicine: neurological diseases**

Eleuterio Toro, Laboratory of Applied Mathematics, DICAM, University of Trento, Italy

giovedì 18 maggio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14ABSTRACTThere is increasing evidence of the involvement of the dynamics of fluid compartments of the central nervous system (CNS) in the pathophysiology of neurodegenerative diseases.

Supportive recent advances in human physiology include the discovery of a meningeal lymphatic system. A feasible multidisciplinary holistic approach to understand the basic mechanisms at work is offered by mathematical modelling. In this talk I first give a brief review of some neurological diseases thought to be associated to malfunctions of CNS fluid compartments, such as Multiple Sclerosis, Menieres Disease, Idiopathic Parkinsons Disease, Alzheimers Disease and Idiopathic Intracranial Hypertension. I then describe a global, closed loop mathematical model for the entire human circulation coupled to the dynamics of cerebrospinal fluid (CSF) and brain dynamics. Sample computations on the effect of extracranial venous strictures on CNS haemodynamics and CSF dynamics are presented. Intracranial venous hypertension and disturbed CSF dynamics are predicted. These computational results support recent medical hypotheses and may help to unravel some of the underlying mechanisms of some of these diseases, paving the way to treatment strategies. I then point out some of the limitations of our present mathematical model and describe current work aimed at enhancing it, to include the peripheral as well as the newly discovered brain lymphatic system. Some unresolved mathematical and numerical challenges are briefly described.**Oltre il nostro Sistema Solare: alla ricerca di un’altra Terra**

Barbara Negri , ASI Agenzia Spaziale Italiana

mercoledì 17 maggio 2017 alle ore 12:15, Campus Leonardo, via Bonardi 9, Edificio 14 (Nave), aula B21