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Dipartimento d'eccellenza

Prossimi Eventi

mag 18 lun 2026

Seminar
Eugene Y.S. Chua, New Balances: Finding Equilibria in Quantum Statistical Mechanics, 18-05-2026, ore 14:30
- Seminar
- Eugene Y.S. Chua
- Nanyang Technological University, Singapore
- New Balances: Finding Equilibria in Quantum Statistical Mechanics
- Lunedì 18 maggio 2026 alle ore 14:30
- Sala Consiglio VII Piano, Edificio 14 Nave, Dipartimento di Matematica
- Abstract
  
  There is a tension in the foundations of thermodynamics. Philosophers argue that certain non-classical systems — black holes, relativistic systems, self-gravitating systems — do not ‘really’ behave thermodynamically. Nonetheless, physicists continue to extend thermodynamic — or thermodynamic-like — concepts into these and other exotic regimes. We situate and analyze this tension for the concepts of thermal equilibrium and equilibration in quantum statistical mechanics. First, we show how these concepts break down in three classes of quantum systems heavily discussed in quantum statistical mechanics: integrable systems, many-body localized systems, and periodically driven systems. Second, physicists nevertheless aim at — and succeed in — recovering other equilibrium-like concepts in and around these regimes, each with their own limited domains of applicability. While these concepts are not the classical ones, we argue that these concepts instantiate a broader mode of generalized equilibrium reasoning — a search for generalized equilibria with the following features: the scale-relative search for stationarity, stability under perturbation, and equilibration. We end by ruminating on whether it matters if such states are “really” thermodynamic, and on the role of generalized equilibrium reasoning in physics.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mag 19 mar 2026

Seminar
Edoardo Mainini, Gradient flows: from diffusion to Keller-Segel models, 19-05-2026, ore 15:15
- Seminar
- Edoardo Mainini
- Università di Genova
- Gradient flows: from diffusion to Keller-Segel models
- Martedì 19 maggio 2026 alle ore 15:15
- Aula seminari, terzo piano
- Abstract
  
  We discuss the gradient flow approach to aggregation-diffusion models of Keller-Segel type. We prove regularizing effect and sharp hypercontractivity estimates. As a consequence, we deduce several properties such as existence of solutions with measure data, energy dissipation identity, evolution variational inequalities and uniqueness, thus establishing a full parallel with the theory of gradient flows for diffusion models and geodesically convex functionals.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mag 20 mer 2026

Seminar
Paula Cerejeiras, Non-classical Howe duality for \(\mathbb Z_3\)-graded Clifford algebras, 20-05-2026, ore 00:00 precise
- Seminar
- Paula Cerejeiras
- Universidade de Aveiro
- Non-classical Howe duality for \(\mathbb Z_3\)-graded Clifford algebras
- Mercoledì 20 maggio 2026 alle ore 00:00 precise
- In presenza (aula seminari Mox sesto piano) e on-line (il link zoom verrà reso disponibile il giorno stesso del seminario)
- Abstract
  
  \(\mathbb Z_3\)-graded Clifford algebras were developed having in mind concrete applications in physics, such as quarks and hypersymmetry, or the N-body problem. In this talk we discuss the main ingredients for the study of Dirac operators in this setting: the Howe duality, the Fischer decomposition and the Cauchy-Kovalevskaya extension. By passing, we also will discuss -time permits - possible applications.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mag 26 mar 2026

Seminar
Serena Federico, Weyl calculus on graded Lie groups, 26-05-2026, ore 11:00
- Seminar
- Serena Federico
- Dipartimento di Matematica, Università di Bologna
- Weyl calculus on graded Lie groups
- Martedì 26 maggio 2026 alle ore 11:00
- Sala Consiglio VII Piano, Edificio 14 Nave, Dipartimento di Matematica
- Abstract
  
  In this talk, we shall discuss the existence of a Weyl pseudo-differential calculus on a graded Lie G. To begin with, we will introduce a family of admissible quantizations on G and develop the corresponding pseudo-differential calculus. Afterwards, following classical criteria, we shall identify the suitable candidate Weyl quantization on G among all the admissible symmetric ones. Finally, we will show that in the case of the Heisenberg group, the Weyl quantization is uniquely determined.
  
  This talk is based on a joint work with D. Rottensteiner and M. Ruzhansky.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
giu 08 lun 2026

giu 12 ven 2026

Convegno
Bifurcations in differential equations
08/06/2026 - 12/06/2026
- CONVEGNO
- BIFDE26
  Bifurcations in differential equations
- organizzatori
  Maurizio Garrione, Filippo Gazzola (Politecnico di Milano), Giulio Ciraolo (University of Milan)
- Lunedì 8 giugno 2026 - Venerdì 12 giugno 2026
  Aula Consiglio - 7th floor, Building 14, Politecnico di Milano, Via Bonardi 9, 20133 Milano (Italy)
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
giu 15 lun 2026

giu 19 ven 2026

Convegno
Indam workshop: geometry of severi varieties and hurwitz spaces
15/06/2026 - 19/06/2026
- CONVEGNO
- Indam workshop: geometry of severi varieties and hurwitz spaces
- organizzatori
  K. Christ, S. Molcho, S. Torelli
- Hurwitz spaces and Severi varieties are among the most classical spaces studied in algebraic geometry, going back to the beginnings of modern algebraic geometry in the second half of the 19th century. Since that time, they have remained central objects in the theory of algebraic curves. Though very classical objects, new techniques have in recent years been used to find answers to old questions, and to establish many new connections. The aim of the workshop is to bring together experts in these various approaches in order to explore further applications and possible synergies. Particular areas of focus are the global geometry of Severi varieties and Hurwitz spaces, as well as relations to Brill Noether theory and to the moduli space of curves and its subloci.
- Lunedì 15 giugno 2026 - Venerdì 19 giugno 2026
  Palazzone di Cortona, Cortona, Italy.
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
giu 23 mar 2026

MOX Events
Giovanni Stabile, Model Reduction and Scientific Machine Learning for Environmental and Urban Flows, 23-06-2026, ore 14:00
- MOX Events
- Giovanni Stabile
- Scuola Sant'Anna di Pisa
- Model Reduction and Scientific Machine Learning for Environmental and Urban Flows
- Martedì 23 giugno 2026 alle ore 14:00
- Aula Saleri
- Abstract
  
  The global population is increasingly concentrated in urban areas, with projections indicating that up to 80% will reside in cities by 2050. This trend underscores the need for efficient and reliable tools to model the urban microclimate, which play a key role in supporting urban planners and policymakers in designing more sustainable and livable environments.
  
  At the urban scale, pollutant dispersion is strongly influenced by transient atmospheric conditions, requiring high-fidelity computational fluid dynamics (CFD) simulations with fine spatial resolution and small time steps. These requirements lead to substantial computational and memory demands, often necessitating access to high-performance computing (HPC) resources to obtain results within practical time frames.
  
  To address these challenges, surrogate modeling techniques offer a promising alternative, enabling rapid predictions with controlled accuracy loss. In this talk, I will present recent advances in numerical methods for real-time and many-query simulations of urban microclimate dynamics. The discussion will cover projection-based reduced-order models, physics-informed neural networks, graph neural networks, and scale-adaptive simulation strategies. This research is developed within the framework of the ERC Starting Grant DANTE.
  
  Contatto:
  nicola.parolini@polimi.it
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

giu 25 gio 2026

MOX Colloquia
Lars Ruthotto, Scientific Machine Learning in High Dimensions , 25-06-2026, ore 14:30

MOX Colloquia
Lars Ruthotto
Departments of Mathematics and Computer Science, Emory University
Scientific Machine Learning in High Dimensions
Giovedì 25 giugno 2026 alle ore 14:30
Sala Consiglio VII piano - Dipartimento di Matematica
Abstract

Many problems at the frontier of scientific machine learning reduce to solving high-dimensional partial differential equations: Hamilton–Jacobi– Bellman equations in optimal control, the continuity equation and Fokker–Planck equation in generative modeling, and coupled systems in mean-field games and Bayesian inverse problems, to give some examples. While the reach of classical numerical methods is limited by the curse of dimensionality, recent advances at the interface of numerical analysis and machine learning are beginning to change that picture by combining classical mathematical structure with neural-network approximation and Monte-Carlo-style sampling.

In this talk I will discuss the mathematical and computational foundations of these methods with a focus on high-dimensional stochastic optimal control. I will draw on selected results from our group's work on neural HJB solvers, conditional optimal transport for Bayesian inference, and mean-field-games, and place them in the broader landscape of methods that have emerged in recent years.

I will outline the main challenge of closing the gap between theoretical guarantees and
practical performance. I will emphasize the role of sampling in determining whether neural methods discover the structure of high-dimensional value functions, the design of benchmarks, and the choice of discretization and adjoint formulations when differentiating through neural SDEs. I will close with open questions and opportunities for the scientific machine learning community.

This initiative is part of the “Ph.D. Lectures” activity of the project "Departments of Excellence 2023-2027" of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.

Contatto:
paolo.zunino@polimi.it

Lars Ruthotto

Lars Ruthotto is the Winship Distinguished Research Associate Professor in the Departments of Mathematics and Computer Science at Emory University, where he is a member of Emory's Scientific Computing Group and directs the Emory REU/RET Site for Computational Mathematics for Data Science. He earned his Diploma (2010) and PhD (2012) in Mathematics from the University of Münster, Germany, and was a postdoc at the University of British Columbia before joining Emory. His research develops computational methods at the interface of scientific computing, optimization, machine learning, and inverse problems, with recent emphasis on neural-network methods for high-dimensional partial differential equations and stochastic optimal control. He is a recipient of the NSF CAREER Award, serves as a Section Editor for the SIAM Journal on Scientific Computing, and is supported by the US NSF and the Office of Naval Research.

Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

giu 29 lun 2026

lug 03 ven 2026

Convegno
Commutative algebra and algebraic geometry in milan
29/06/2026 - 03/07/2026
- CONVEGNO
- CAAG26
  Commutative algebra and algebraic geometry in milan
- organizzatori
  A. Constantinescu, A. D'Alì, P. Lella, A. Sammartano
- The conference will be focused on the interplay between topics in commutative algebra, such as syzygies and singularities, and topics in algebraic geometry, such as moduli spaces and rationality problems. Speakers Ayah Almousa (University of Kentucky) Benjamin Briggs (Imperial College London) David Eisenbud (UC Berkeley) Eleonore Faber (University of Graz) Gavril Farkas (Humboldt-Universität zu Berlin) Michele Graffeo (SISSA Trieste) Eloísa Grifo (University of Nebraska-Lincoln) Srikanth Iyengar (University of Utah) Joachim Jelisiejew (University of Warsaw) Patricia Klein (Texas A&M University) Margherita Lelli-Chiesa (Università degli Studi Roma Tre) Alex Massarenti (Università degli Studi di Ferrara) Irena Peeva (Cornell University) Claudia Polini (University of Notre Dame) Elisa Postinghel (Università degli Studi di Trento) Claudiu Raicu (University of Notre Dame) Ritvik Ramkumar (University of Notre Dame) Francesco Russo (Università degli Studi di Catania) Alexandra Seceleanu (University of Nebraska-Lincoln) Bernd Ulrich (Purdue University) Keller VandeBogert (University of Kentucky) Matteo Varbaro (Università degli Studi di Genova
- Lunedì 29 giugno 2026 - Venerdì 3 luglio 2026
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
ago 31 lun 2026

set 03 gio 2026

Convegno
Late summer conference in geometric analysis
31/08/2026 - 03/09/2026
- CONVEGNO
- Late summer conference in geometric analysis
- organizzatori
  Luca Benatti, Mattia Fogagnolo, Alessandra Pluda, Marco Pozzetta, Alberto Roncoroni.
- This event brings together an international group of specialists to discuss cutting-edge topics in Geometric Analysis, such as minimal surfaces, isoperimetric problems, Lorentzian geometry, general relativity, geometric evolution equations, and geometric problems in the calculus of variations. Our goal is to turn recent progress into meaningful exchanges, giving participants fresh insights and new techniques to use in their own research on open problems.
- Lunedì 31 agosto 2026 - Giovedì 3 settembre 2026
  Università degli Studi di Padova
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

ott 01 gio 2026

MOX Colloquia
Rainer Helmig, Porous Media Free-Flow Coupling - From REV to Pore Scale and Back, 01-10-2026, ore 14:30

MOX Colloquia
Rainer Helmig
Professor Emeritus, University of Stuttgart
Porous Media Free-Flow Coupling - From REV to Pore Scale and Back
Giovedì 1 ottobre 2026 alle ore 14:30
Sala Consiglio, Edificio 14, Politecnico di Milano
Abstract

Flow and transport processes in domains composed of a porous medium and an adjacent free-flow region appear in a wide range of industrial, bio-medical and environmental applications. Industrial applications range from flow in fuel cells to drying processes; possible bio-medical applications include the interplay of distribution processes in blood vessels and in the surrounding tissue. Applications in environmental systems include infiltration of overland flow during rainfall, groundwater contamination due to infiltrating pollutants and evaporation from soil.

One of the key challenges for coupled free flow and porous-medium flow arises from the fact that the overall effective behaviour depends strongly on interface processes that occur on small spatial scales (pore scale), although the overall system of interest is often too large to resolve these processes explicitly in detail. REV-scale models are usually not able to capture all the relevant physical processes for such coupled systems. For the accurate description of interface phenomena, it is therefore necessary to develop model concepts that combine information gained through pore-scale and REV-scale models.

The first part of the lecture includes the following items:
-an explanation of relevant processes of mass, momentum and energy transfer at the interface between a free-flow and a porous-media system;
-a presentation of conceptual models for coupled single-phase free flow and two-phase porous-medium flow with a detailed description of the models in the free flow and in the porous medium for the pore and REV scale;
-comparison studies to show the advantages and disadvantages in relation to classical approaches; the coupling concepts are discussed on the basis of different technical or environmental issues.

In the second part of the lecture I would very much like to discuss the results on the basis of various detailed use cases. These include e.g. aspects of soil evaporation, heat storage in porous media, self-cooling of turbines or the salinization of soils.

This initiative is part of the “Ph.D. Lectures” activity of the project "Departments of Excellence 2023-2027" of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.

Contatti:
paola.antonietti@polimi.it

Rainer Helmig

Rainer Helmig is Professor Emeritus of the Department of Hydromechanics and Modelling of Hydrosystems at the University of Stuttgart, Germany. He gained his doctoral degree from the University of Hannover in 1993 and a the Habilitation degree from the University of Stuttgart in 1997. In 1995, he was awarded the renowned "Dresdner Grundwasserforschungspreis" for his doctoral thesis. From 1997 to 2000, he held a professorship at the Technical University of Braunschweig. He was co-founder and, from 2009 to 2011, President of "InterPore"; from 2007 to 2015, he was spokesman of the International Research Training Group "NUPUS - Nonlinearities and upscaling in porous media", and from 2018 to 2023 he was spokesman of the Collaborative Research Centre 1313 “Interface-Driven Multi-Field Processes in Porous Media: Flow, Transport and Deformation”. From 2007 to 2018, he was a member of the Executive Board of Directors of the Cluster of Excellence Simulation Technology at the University of Stuttgart. He is member of Academy of Sciences, Academia Europaea, Heidelberg and acatech. In 2020, he was granted the AGU Fellowship of the American Geophysical Union. In 2022 he got the Honorary Degree of Doctor of Engineering at the Heriot-Watt University. He was awarded the Kimberly-Clark Distinguished Lectureship 2025 and in 2025 he was granted the SIAM Geosciences Career Prize.

Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

ott 08 gio 2026

ott 09 ven 2026

Convegno
Algodefi 26: algorithmic trading, decentralized finance and artificial intelligence in capital markets
08/10/2026 - 09/10/2026
- CONVEGNO
- ALGODEFI26
  Algodefi 26: algorithmic trading, decentralized finance and artificial intelligence in capital markets
- organizzatori
  Emilio Barucci and Michele Azzone
- Dates: October 8–9, 2026 Venue: Department of Mathematics, Politecnico di Milano Submission and registration are open on the conference website. Call for Papers: Accepting full papers or extended abstracts Deadline for Submission: September 1st, 2026 Notification of Acceptance: September 15th, 2026 Deadline for Registration: September 25th, 2026 Keynote Speakers Eduardo Abi Jaber (École Polytechnique) Sebastian Jaimungal (University of Toronto) We will have an industry-Oriented Session in a dedicated afternoon. Scientific Committee Emilio Barucci (Chair), Tomaso Aste, Michele Azzone, Leandro Sánchez Betancourt, Andrea Prampolini Description The landscape of financial markets is changing significantly thanks to new technologies and methodologies that are profoundly modifying their architecture and functioning. Among the innovations, we have the possibility of operating using real-time market information, machine learning techniques, automatic trading strategies, automatic market making, distributed ledger technologies, digital assets, smart contracts, and cryptocurrencies. The objective of the workshop is to offer an opportunity for the academic and industrial communities to meet and discuss research advancements on these topics.
- Giovedì 8 ottobre 2026 - Venerdì 9 ottobre 2026
  Department of Mathematics
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 02 lun 2026

nov 06 ven 2026

Convegno
Model reduction and surrogate modeling 2026
02/11/2026 - 06/11/2026
- CONVEGNO
- MORe2026
  Model reduction and surrogate modeling 2026
- organizzatori
  Andrea Manzoni (Chair), Nicolò Botteghi, Luca Dede', Nicola Farenga, Nicola Rares Franco, Andrea Manzoni, Simona Perotto, Piermario Vitullo, Paolo Zunino (Organizing Committee)
- This 5-day conference will bring together the international community of computational scientists, engineers, mathematicians, and domain experts from industry, the national laboratories and academia to address the topic of model reduction and surrogate modeling for high-dimensional complex systems.
- Lunedì 2 novembre 2026 - Venerdì 6 novembre 2026
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 08 lun 2027

feb 12 ven 2027

Convegno
Mathematical challenges in quantum mechanics 2027, school and workshop
08/02/2027 - 12/02/2027
- CONVEGNO
- MCQM27
  Mathematical challenges in quantum mechanics 2027, school and workshop
- organizzatori
  Michele Correggi (Polimi), Marco Falconi (Polimi), Davide Fermi (Polimi), Angelo Lucia (Polimi), Massimo Moscolari (Polimi), Alessandro Olgiati (Polimi).
- From February 8th to 12th, 2027, the School and Workshop Mathematical Challenges in Quantum Mechanics (MCQM27) will take place at the Department of Mathematics of Politecnico di Milano (Italy). The meeting – at its fifth edition – aims to present the state of the art of challenging open problems in Quantum Mechanics, from the point of view of Mathematical Physics. It will provide a space for scientific exchanges among PhD students and early-career and senior researchers. The program will consist of three introductory mini courses (by Phan Thành Nam, Yoshiko Ogata, Andreas Winter), six invited talks (by Horia Cornean, Marcello Dalmonte, Clotilde Fermanian Kammerer, Paolo Tilli, Katharina Schratz, Giovanni Valente) and contributed talk sessions by selected young participants. Some financial support to young participants will be available. Website: www.mcqm.it This event is part of the activities of the Department of Exellence 2023-27.
- Lunedì 8 febbraio 2027 - Venerdì 12 febbraio 2027
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
lug 05 lun 2027

lug 09 ven 2027

Convegno
International conference on spectral and high-order methods
05/07/2027 - 09/07/2027
- CONVEGNO
- ICOSAHOM2027
  International conference on spectral and high-order methods
- organizzatori
  P.F. Antonietti, N. Parolini, M. Verani (Conference Chairs), C. Canuto, A. Quarteroni (Honorary Chairs), L. Beirao da Veiga, F. Bonizzoni, L. Dede’, I. Fumagalli, P. Gervasio, C. Marcati, L. Mascotto, I. Mazzieri, S. Perotto, G. Sangalli
- Since 1989, the International Conference on Spectral and High-Order Methods (ICOSAHOM) has served as a leading international forum for researchers and practitioners working on the theoretical, computational, and applied aspects of high-order and spectral methods for solving differential equations. The 2027 edition of ICOSAHOM will be proudly hosted by Politecnico di Milano, bringing together experts from around the world to share the latest advances and foster new collaborations in this vibrant field. ICOSAHOM 2027 is a satellite meeting of the 11th International Congress on Industrial and Applied Mathematics (ICIAM), The Hague, The Netherlands, 12-16 July 2027.
- Lunedì 5 luglio 2027 - Venerdì 9 luglio 2027
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568