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

### Seminari

 Selezionare una sezione Tutte Algebra e Informatica Teorica Analisi Analisi Numerica Calcolo delle variazioni Dipartimento FDS Finanza Quantitativa Fisica Matematica Geometria Lezioni Leonardesche Matematica Discreta MOX Probabilità Quantistica Probabilità e Statistica Matematica Seminario Matematico e Fisico Seminari di Cultura Matematica Tomografia e Applicazioni Parola da cercare

### 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

• Complexity in biomedicine
Caterina La Porta, Università degli Studi di Milano
giovedì 18 luglio 2019 alle ore 10:00, Dipartimento di Matematica - 7° piano, Politecnico di Milano
ABSTRACT
In this talk, I will discuss our recent advances in understanding phenotypic plasticity of cancer cells using a combination of experiments, analysis of big data and computational models of complex regulatory networks. Next, I will discuss our results on protein aggregation in neurodegenerative pathologies, such as Alzheimer's and Huntington's disease.

In particular, I will report on the importance of protein clearance from the endoplasmic reticulum to drive protein aggregation and on our recent results on huntingtin heterogenous aggregation in which mutated forms of the protein are able to form oligomers with non-mutated forms.

Contacts: paolo.finotelli@polimi.it
paolo.dulio@polimi.it
• The LLV decomposition for hyper-Kaehler cohomology
venerdì 12 luglio 2019 alle ore 14:30, Sala di Rappresentanza, Via C. Saldini 50
ABSTRACT
Looijenga—Lunts and Verbitsky (LLV) have shown that the cohomology of
a compact hyper-Kaehler manifold admits the action of a big Lie
algebra g, generalizing the usual sl(2) Hard Lefschetz action. We
compute the LLV decomposition of the cohomology for the known classes
of hyper-Kaehler manifolds (i.e. K3^n, Kim_n, OG6, and OG10). As an
application, we easily recover the Hodge numbers of the exceptional
example OG10. In a different direction, we establish the so-called
Nagai’s conjecture (on the nilpotency index for higher degree
monodromy operators) for the known cases. More interestingly, based
on the known examples, we conjecture a new restriction on the
cohomology of compact hyper-Kaehler manifolds, which in particular
implies the vanishing of the odd cohomology as soon as the second
Betti number is large enough relative to the dimension.
This is joint work with M. Green, Y. Kim, and C. Robles.
• Preconditioning of multiphysics problems with applications to the biomechanics of the brain
Kent - Andre Mardal, University of Oslo and Simula Research Laboratory
giovedì 11 luglio 2019 alle ore 14:00, Aula consiglio VII piano, Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
ABSTRACT
In this talk we will discuss preconditioning algorithms for monolithic schemes of coupled problems involving the coupling of porous and viscous flow as well as fluid-structure interaction and dimension reduction problems.
We explore how fractional Laplacian solvers may be utilized to obtain parameter robust schemes. The schemes are discussed in the context of biomechanical modelling of the waste clearance processes in the brain that is believed to fail in various forms of dementia such as Alzheimer's and Parkinson's diseases.

Contact: paolo.zunino@polimi.it

• Implementing zonal harmonics with the Fueter principle
Amedeo Altavilla, Università Politecnica delle Marche
lunedì 8 luglio 2019 alle ore 14:00, Aula Seminari del 3 piano, Edificio La Nave, Via Ponzio 32-34
ABSTRACT
The Fueter theorem is a well studied result in hypercomplex analysis which gives a procedure to construct hyperholomorphic functions (in some sense), starting from complex holomorphic ones.
In this talk I will show how to adapt such result in order to obtain formulas to represent real zonal harmonics in every dimension.
• Shift invariant subspaces of the quaternionic space of slice $L^2$ functions
Alessandro Monguzzi, Università degli Studi di Milano Bicocca
lunedì 8 luglio 2019 alle ore 15:00, Aula Seminari del 3 piano, Edificio La Nave, Via Ponzio 32-34
ABSTRACT
I will give a characterization of the closed shift invariant subspaces of the quaternionic space of slice $L^2$ functions. As a consequence, the inner-outer factorization theorem for the quaternionic Hardy space $H^2$ on the unit ball is obtained. Therefore, I will present some properties of inner and outer functions in the quaternionic setting, providing in particular sufficient conditions as well as necessary ones for functions to be inner or outer.

This talk is based on joint works with Giulia Sarfatti and Daniel Seco.
• A scalable computational framework for large-scale simulation of fluid-driven fracture propagation
Bianca Giovanardi, MIT, Cambridge, MA, USA
venerdì 5 luglio 2019 alle ore 14:00, aula Saleri VI piano
ABSTRACT
Fluid-driven crack propagation concerns several areas of engineering, including structural, geotechnical, and petroleum engineering. The development of simulation tools for pressurized cracks propagating in realistic scenarios needs to tackle the complexity arising from the non-linear hydro-mechanical coupling of the fluid and the cracked solid in a suitable framework for large-scale applications.
In this talk, I will introduce the governing equations of hydraulic fracture and discuss well-known propagation regimes where the prob- lem can be treated analytically. I will then present a computational ap- proach to model the hydro-mechanical coupling of the fracturing solid and the fluid flow inside the propagating cracks. Benchmarks in 2D and 3D demonstrate the capability of the computational framework to successfully deal with a priori unknown and arbitrarily intricate crack paths, and with the need for large-scale simulations.
Time permitting, I will describe other recent efforts in developing advanced computational algorithms for large-scale simulation of complex material response, including elastic instabilities and material failure.

Contatto: edie.miglio@polimi.it
• A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis
Colette De Coster, Univ. Valenciennes
martedì 2 luglio 2019 alle ore 15:15, Aula seminari 3° piano
ABSTRACT
In this talk, we survey some recent results concerning the Dirichlet problem for the prescribed anisotropic mean curvature equation
\begin{equation*}
{\rm -div}\left({\nabla u}/{\sqrt{1 + |\nabla u|^2}}\right) = -au + {b}/{\sqrt{1 + |\nabla u|^2}},
\end{equation*}
in a bounded Lipschitz domain $\Omega \subset \mathbb{R}^n$, with $a,b>0$ parameters.
This equation appears in the description of the geometry of the human cornea, as well as in the modeling theory of capillarity phenomena for compressible fluids.

In this talk, we show how various techniques of nonlinear functional analysis can successfully be applied to derive a complete picture of the solvability patterns of the problem.
• The mathematics of spreading droplets
Lorenzo Giacomelli, Università La Sapienza, Roma
lunedì 24 giugno 2019 alle ore 16:30 precise, Sala Consiglio, 7 piano, Edificio La Nave, Via Ponzio 31-33
ABSTRACT
Wetting phenomena at small scales are an area where chemistry,
physics, mathematics, and engineering intersect. In recent years,
driven also by molecular dynamics, new concepts have been introduced
to describe the statics and dynamics of wetting, allowing new
insights into the old problems of surface forces. Among these
problems, two prominent ones are an appropriate mathematical modeling
of the moving contact line where liquid, solid, and surrounding vapor
meet, and how such models influence the macroscopic properties of the
flow. After a general framing -- the classical setting of droplets'
statics and dynamics, diffuse and sharp interface models, classical
and new descriptions of the contact line -- I shall review the PDE
theory for one of such models -- the so-called thin-film equation --, mainly focusing on the two aforementioned problems and on some of the most interesting current challenges.