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

• A mathematical-physics approach to machine learning
Pierluigi Contucci, Dipartimento di Matematica Università di Bologna
giovedì 30 gennaio 2020 alle ore 14:00, Aula Saleri VI piano
• Modeling and simulation of thermo-poroelastic processes in fractured geothermal reservoirs
Eirik Keilegavlen, Department of Mathematics, University of Bergen, Norway
giovedì 20 febbraio 2020 alle ore 11:30, Aula Saleri - VI piano

### Seminari Passati

• Stability of some coupled partial differential equations in both bounded and unbounded domains
Abdelaziz Soufyane, University of Sharjah
giovedì 12 settembre 2019 alle ore 15:15, Aula seminari 3° piano
ABSTRACT
This talk deals with some recent results on the stability of a coupled partial differential equations. We will present the energy decay rates for many systems (arising in many applications) in the bounded domain, different approaches will be used to establish the energy decay. Also, we will discuss the rate decay for some models in the unbounded domain using the Fourier transformation, the multipliers techniques in Fourier image. We conclude our talk by giving some remarks and open problems.

This seminar is organized within the PRIN 2017 Research project «Direct and inverse problems for partial differential equations: theoretical aspects and applications» Grant Registration number 201758MTR2, funded by MIUR - Project coordinator Prof. Filippo Gazzola
• Curve di Osgood
Aljosa Volcic, Università della Calabria
giovedì 12 settembre 2019 alle ore 11:00 precise, Dipartimento di Matematica - 7° piano, Politecnico di Milano
ABSTRACT
La conferenza sarà dedicata a due argomenti vicini al classico argomento del teorema di Cantor sulla corrispondenza biunivoca (che non può essere continua) tra $[0,1]$ e $[0,1]^2$ ed alla curva di Peano.

Principalmente si parlerà di curve create nel 1903 da William F. Osgood il quale costruì, per ogni $\beta \in ]0,1[$ una curva iniettiva la cui immagine ha area $\beta$.
Si farà una breve storia di altre costruzioni analoghe, dedicandosi in particolare all'ultima di esse, dovuta a Karl Stromberg e Shiojenn Tseng.
In conclusione verrà presentata la dimostrazione dell'esistenza di una curva iniettiva definita su $]0,1[$ la cui immagine ha misura di Lebesgue bidimensionale uguale a $1$.
• 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