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

Workshop on Fairness and Machine Learning in Health
10 June 2022
IQM2022

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

may 30 mon 2022

MOX Colloquia
Ole Sigmund, Recent developments in multi-scale and non-linear topology optimization problems, 05-30-2022, 14:00

MOX Colloquia
Ole Sigmund
Dept. of Mechanical Engineering, Technical University of Denmark
Recent developments in multi-scale and non-linear topology optimization problems
Monday, 30 May 2022 at 14:00
Live: Aula Consiglio, Dip. di Matematica
Online: mox.polimi.it/mox-seminars/?id_evento=2167
Abstract

Topology optimization was introduced as a multi-scale approach in the seminal paper by Bendsøe and Kikuchi from 1988. However, simpler isotropic density interpolation schemes soon substituted the original homogenization-based approach. With advances in additive manufacturing technologies that may realize complex lattice and infill structures, needs for efficient multiscale topology optimization approaches have been revived. The first part of the talk will give an overview of latest advances in so-called de-homogenization techniques that generate highly optimized lattice structures from homogenization-based topology optimization results, also taking local and global buckling instabilities into account.

The second part of the talk will give an overview of latest developments within single and multi-material topology optimization approaches for generating pre-scribed non-linear force-displacement relations. By appropriate definition of goal and response functions, it is demonstrated that one can tailor very complex response curves almost at will. On-going studies include formulations that allow internal member contact through so-called third medium approaches.

Contatto: simona.perotto@polimi.it

Ole Sigmund

Ole Sigmund is a world leading researcher within topology optimization. Ole Sigmund is a Professor and Villum Investigator at the Department of Mechanical Engineering, Technical University of Denmark (DTU). He obtained his Ph.D.-degree in 1994 and Habilitation in 2001 and has held research positions at University of Essen and Princeton University. He is a member of the Danish Academy of Technical Sciences and the Royal Academy of Science and Letters and is the former President (2011-15, now EC member) of ISSMO (International Society of Structural and Multidisciplinary Optimization) and former Chairman of DCAMM (Danish Center for Applied Mathematics and Mechanics, 2004-2010). Together with Noboru Kikuchi and Martin Bendsøe, Ole Sigmund is one of the founders and present main contributors to the development of topology optimization methods in academia and industry. His +300 scientifc papers have received ~50000 citations in Google Scholar and an H-index of 85.

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

jun 07 tue 2022

Seminar
Fabio Cipriani, Noncommutative Geometry by example, 06-07-2022, 14:15
- Seminar
- Fabio Cipriani
- Politecnico di Milano
- Noncommutative Geometry by example
- Tuesday, 7 June 2022 at 14:15
- Aula Seminari III Piano
- Abstract
  
  We will illustrate various examples of spaces which appear to be singular when analyzed by the classical tools of topology, measure theory, analysis and geometry, but which can be naturally approached by instruments of Noncommutative Geometry. Among them we will find instances of duals of non abelian groups, Clifford algebras of Riemannian manifolds, leafs space of foliations, orbit spaces of dynamical systems, orbifolds, spaces of observables and states in Quantum Mechanics, quasi-crystals, quantum information channels and quantum groups.
- 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
jun 07 tue 2022

MOX Seminar
Stefano Castruccio, Physics-Informed, Data-Driven and Hybrid Approaches to Space-Time Systems, 06-07-2022, 15:30
- MOX Seminar
- Stefano Castruccio
- University of Notre Dame
- Physics-Informed, Data-Driven and Hybrid Approaches to Space-Time Systems
- Tuesday, 7 June 2022 at 15:30
- Live: Aula Saleri, VI piano Dip. di Matematica
  Online: mox.polimi.it/mox-seminars/?id_evento=2169
- Abstract
  
  In this talk I will discuss two different approaches to characterize space-time systems. This first one is model-driven and loosely inspired by physics, assumes that the system is locally diffusive through a stochastic partial differential equation, and can be efficiently approximated with a Gaussian Markov random field. This approximation will be used to produce a stochastic generator of simulated multi-decadal global temperature, thereby offering a fast alternative to the generation of large climate model ensembles.
  
  The second approach is instead data-driven, and relies on (deep) neural networks in time. Instead of traditional machine learning methods aimed at inferring an extremely large parameter space, we instead rely on an alternative fast, sparse and computationally efficient echo state network dynamics on an appropriately dimensionally reduced spatial field. The additional computational time is then used to produce an ensemble and probabilistically calibrate the forecast. The approach will be used to produce air pollution forecasts from a citizen science network in San Francisco and forecasting wind energy in Saudi Arabia.
  
  Towards the end of the presentation, I will discuss how these two broad frameworks could be used in synergy to allow for improved predictability and understanding of space-time systems whose physical understanding is currently limited and/or largely influenced by parametrizations.
- 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
jul 10 sun 2022

jul 16 sat 2022

WorkShop
Group actions in algebraic geometry
07/10/2022 - 07/16/2022
- WORKSHOP
- Group actions in algebraic geometry
- organizers
  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.
- Sunday, 10 July 2022 - Saturday, 16 July 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