Dipartimento di Matematica

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Direttore: Prof. Giulio Magli

Direttore Vicario: Prof. Gabriele Grillo

Responsabile Gestionale: Dr.ssa Franca Di Censo

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Prossimi Eventi

lug 04 lun 2022

MOX Seminar
Michele Botti, Functional Inequalities in Broken Sobolev Spaces and Applications to Polyhedral Discretization Methods, 04-07-2022, ore 11:00
- MOX Seminar
- Michele Botti
- MOX, Dipartimento di Matematica, Politecnico di Milano
- Functional Inequalities in Broken Sobolev Spaces and Applications to Polyhedral Discretization Methods
- Lunedì 4 luglio 2022 alle ore 11:00
- Aula Saleri, MOX - Dipartimento di Matematica - Politecnico di Milano
- Abstract
  
  In this talk, I will present several functional analysis tools that are instrumental to establish the stability and convergence analysis of nonconforming approximation methods on polyhedral meshes for a wide class of nonlinear problems. Starting from some preliminary results concerning broken Sobolev spaces, I will develop novel arguments to prove the broken version of Poincaré, Korn, trace inequalities and Sobolev embeddings. The main ingredient is a generalization of the local continuous trace inequality allowing to establish the results without restricting to piecewise polynomials or other discrete functional spaces and without requiring the definition of an interpolator mapping the discontinuous functions to continuous ones.
  
  Contatto: paola.antonietti@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
lug 04 lun 2022

Seminar
Gigliola Staffilani, The Schrödinger equation as inspiration of beautiful mathematics, 04-07-2022, ore 17:00
- Seminar
- Gigliola Staffilani
- Massachusetts Institute of Technology
- The Schrödinger equation as inspiration of beautiful mathematics
- Lunedì 4 luglio 2022 alle ore 17:00
- Sala Consiglio 7 piano, Edificio La Nave
- Abstract
  
  In the last two decades great progress has been made in the study of dispersive and wave equations. Over the years the toolbox used in order to attack highly nontrivial problems related to these equations has developed to include a collection of techniques: Fourier and harmonic analysis, analytic number theory, math physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of results using as model problem mainly the periodic 2D cubic nonlinear Schrödinger equation. I will start by giving a physical derivation of the equation from a quantum many-particles system, I will introduce periodic Strichartz estimates along with some remarkable connections to analytic number theory, I will move on to the concept of energy transfer and its connection to dynamical systems, and I will end with some results on the derivation of a wave kinetic equation.
- 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
lug 10 dom 2022

lug 16 sab 2022

Convegno
Group actions in algebraic geometry
10/07/2022 - 16/07/2022
- CONVEGNO
- Group actions in algebraic geometry
- organizzatori
  Alexandru Constantinescu (Freie Universität Berlin, Germania), Andreas Hochenegger (Politecnico di Milano), Elena Martinengo (Università degli Studi di Milano).
- We will celebrate Klaus Altmann's birthday by bringing together experts working in toric geometry and related fields. Besides talks about recent results, there will be a lot of time for interaction and discussions.
- Domenica 10 luglio 2022 - Sabato 16 luglio 2022
  Hotel San Michele, Cetraro
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568