Dipartimento di Matematica

Research - Laboratories - Teaching

Head of Dept: Prof. Giulio Magli

Vice-Head of Dept: Prof. Gabriele Grillo

Department Manager: Dr.ssa Franca Di Censo

Quantum before Christmas
December 20-22, 2021
Seminari EFFEDIESSE
a.a. 2021/2022

MOX

Laboratory of Modeling
and
Scientific Computing

EFFEDIESSE

Laboratory of Mathematics Education
and
Scientific Experimentation

analysis@polimi

Research Group

QFINLAB

Quantitative Finance Lab

About us...

Upcoming Events

dec 13 mon 2021

Seminar
Riccardo Adami, Ground states for the two-dimensional NLS in the presence of point interactions, 12-13-2021, 14:00
- Seminar
- Riccardo Adami
- Politecnico di Torino
- Ground states for the two-dimensional NLS in the presence of point interactions
- Monday, 13 December 2021 at 14:00
- Sala Consiglio - Piano VII
- Abstract
  
  We prove the existence of ground states, i.e. minimizers of the energy at fixed mass, for the focusing, subcritical Nonlinear Schroedinger equation in two dimensions, with a linear point interaction, or defect. Ground states turn out to be positive up to a phase, and to show a logaritmico singularity at the defect. The analogous problem has been widely treated in the one dimensional setting, including the case of graphs. The two dimensional version is more complicated because of the structure of the energy space, that is larger than the standard one. This result opens the way to the study of nonlinear hybrids. This is a joint work with Filippo Boni, Raffaele Carlone, and Lorenzo Tentarelli.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
dec 14 tue 2021

MOX Seminar
Mattia Serra, A mechanochemical instability drives vertebrate gastrulation, 12-14-2021, 14:30
- MOX Seminar
- Mattia Serra
- University of California, San Diego
- A mechanochemical instability drives vertebrate gastrulation
- Tuesday, 14 December 2021 at 14:30
- Live: Aula Consiglio, VII piano, Dip. di Matematica
  Online: mox.polimi.it/mox-seminars/?id_evento=2101
- Abstract
  
  Gastrulation is a critical event in vertebrate morphogenesis, characterized by coordinated large-scale multi-cellular movements. One grand challenge in modern biology is understanding how spatio-temporal morphological structures emerge from cellular processes in a developing organism and vary across vertebrates. We derive a theoretical framework that couples tissue flows, stress-dependent myosin activity, and actomyosin cable orientation. Our model, consisting of a set of nonlinear coupled PDEs, predicts the onset and development of observed experimental patterns of wild-type and perturbations of chick gastrulation as a spontaneous instability of a uniform state. We use analysis and numerics to show how our model recapitulates the phase space of gastrulation morphologies seen across vertebrates, consistent with experiments. Altogether, this suggests that early embryonic self-organization follows from a minimal predictive theory of active mechano-sensitive flows. www.biorxiv.org/content/10.1101/2021.10.03.462928v2
  
  Contatto: pasquale.ciarletta@polimi.it
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
dec 15 wed 2021

Seminar
Francesco Nappo, Modelli nella scienza e nella pedagogia scientifica: il caso di J. Clerk Maxwell, 12-15-2021, 15:00
- Seminar
- Francesco Nappo
- Politecnico di Milano
- Modelli nella scienza e nella pedagogia scientifica: il caso di J. Clerk Maxwell
- Wednesday, 15 December 2021 at 15:00
- online tiny.cc/fds22webex
- Abstract
  
  Utilizzeremo il caso delle teorie elettromagnetiche di James Clerk Maxwell per illustrare il ruolo dei modelli e dell' analogia nella produzione di nuova conoscenza fisica.
  In particolare, discuteremo di come il modello dei vortici nel suo articolo 'On Physical Lines of Forces' (1861-62) e l'utilizzo del ragionamento analogico abbiano avuto un ruolo centrale nella formulazione delle famose equazioni elettromagnetiche.
  Come evidenziato da diversi studi, descrivere gli aspetti storici ed epistemologici di episodi centrali nella storia della scienza è importante dal punto di vista didattico, dal momento che contribuisce ad una migliore comprensione da parte degli studenti del ruolo chiave dei modelli nella ricerca scientifica e allo sviluppo di competenze modellistiche.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
dec 15 wed 2021

Seminar
Irina Markina, From Clifford algebras to Heisenberg type Lie algebras, 12-15-2021, 18:00
- Seminar
- Irina Markina
- University of Bergen, Norway
- From Clifford algebras to Heisenberg type Lie algebras
- Wednesday, 15 December 2021 at 18:00
- On line
- Abstract
  
  As it is well known, the Clifford algebras have numerous applications. In the present talk, we will explain how the Clifford algebras and their representation can build two-step nilpotent Lie algebras. They received the name Heisenberg type Lie algebras, due to the fact that the classical Heisenberg algebra is the simplest example in this construction.
  
  A special class of Heisenberg type Lie algebras was introduced by A. Kaplan in 1980 to study hypoelliptic partial differential operators and their fundamental solutions. The Heisenberg type Lie algebras admit rational structural constants, that lead to the existence of lattices on the corresponding Lie groups according to the Malcev theorem. The factor of Heisenberg type Lie groups by the lattices gives rise to a chain of examples of nilmanifolds that are isospectral but non-diffeomorphic.
  
  In the talk, we will explain the construction of the Heisenberg type Lie algebras and give examples. We also will discuss the classification of the constructed Lie algebras and their group of automorphisms.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
jan 12 wed 2022

Seminar
Andrea Pascucci, Didattica della Probabilità: idee e applicazioni, 01-12-2022, 15:00
- Seminar
- Andrea Pascucci
- Università di Bologna
- Didattica della Probabilità: idee e applicazioni
- Wednesday, 12 January 2022 at 15:00
- online tiny.cc/fds22webex
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
jan 26 wed 2022

Seminar
Flavia Mammana & Eugenia Taranto, Percorsi di matematica all'aperto con MathCityMap, 01-26-2022, 15:00
- Seminar
- Flavia Mammana & Eugenia Taranto
- Università di Catania
- Percorsi di matematica all'aperto con MathCityMap
- Wednesday, 26 January 2022 at 15:00
- online tiny.cc/fds22webex
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
jan 27 thu 2022

MOX Seminar
Alfio Borzi, The Pontryagin maximum principle and the training of Runge-Kutta neural networks, 01-27-2022, 11:00
- MOX Seminar
- Alfio Borzi
- Università di Wuerzburg
- The Pontryagin maximum principle and the training of Runge-Kutta neural networks
- Thursday, 27 January 2022 at 11:00
- Live: Aula Consiglio - Dipartimento di Matematica - Politecnico di Milano
  Online: mox.polimi.it/mox-seminars/?id_evento=2109
- Abstract
  
  In residual neural networks and related NN architectures, supervised learning problems can be reformulated as optimal control problems governed by discrete-in-time nonlinear evolution models.
  
  This talk is devoted to the analysis and solution of these problems in the framework of a discrete version of the Pontryagin maximum principle and of neural networks with Runge-Kutta (RK) structure. In particular, a sequential quadratic Hamiltonian (SQH) method for solving the corresponding supervised learning problems is presented. Convergence properties of the SQH scheme are investigated theoretically and numerically, and results of numerical experiments are presented that demonstrate the advantageous performance of the SQH learning algorithm.
  
  Contatto: marco.verani@polimi.it
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
feb 09 wed 2022

Seminar
Fabio Zucca, Impariamo a contare: introduzione all'analisi combinatoria, 02-09-2022, 15:00
- Seminar
- Fabio Zucca
- Politecnico di Milano
- Impariamo a contare: introduzione all'analisi combinatoria
- Wednesday, 9 February 2022 at 15:00
- online tiny.cc/fds22webex
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568