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Dipartimento d'eccellenza

Prossimi Eventi

feb 26 gio 2026

Seminar
Fabio E. G. Cipriani, Existence, degeneracy, discreteness and stability of ground states by logarithmic Sobolev inequalities on Clifford algebras, 26-02-2026, ore 14:30

Seminar
Fabio E. G. Cipriani
Politecnico di Milano
Existence, degeneracy, discreteness and stability of ground states by logarithmic Sobolev inequalities on Clifford algebras
Giovedì 26 febbraio 2026 alle ore 14:30
Aula seminari III piano
Abstract

We prove existence, finite degeneracy, discreteness and stability of ground states of energy forms satisfying logarithmic Sobolev inequalities with respect to not necessarily tracial states on von Neumann algebras. The results are then applied to discuss existence and properties of ground states of Hamiltonians considered by L. Gross in QFT, describing, on a suitable Clifford algebra, spin 1/2 Dirac particles, subject to interactions with an unbounded external scalar field.
Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

mar 02 lun 2026

Seminar
Francesco Rotondi, Effective binomial discretizations of bivariate diffusion processes, 02-03-2026, ore 13:15
- Seminar
- Francesco Rotondi
- Università Bocconi
- Effective binomial discretizations of bivariate diffusion processes
- Lunedì 2 marzo 2026 alle ore 13:15
- Aula seminari, 3° piano, e online (Microsoft Teams) shorturl.at/WpDWv
- Abstract
  
  In this paper, we investigate the general conditions under which a bivariate continuous-time stochastic process can be approximated by a computationally tractable discrete-time bivariate binomial process. The main requirement is the explicit solvability of a specific system of partial differential equations associated with the norm of the volatility vectors. As a key application, we develop a simple recombining bivariate binomial tree for the stochastic volatility model introduced by Heston (1993). We then employ this discrete framework to compute no-arbitrage prices of European call and put options, obtaining results that are consistent with those generated by established numerical methods. Finally, we perform a detailed analysis of the two-dimensional free boundaries of American call and put options, examining their dependence on both the spot price and the spot volatility.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 04 mer 2026

Seminar
Marcel Guardia, Unstable motions in Celestial Mechanics, 04-03-2026, ore 14:30
- Seminar
- Marcel Guardia
- Universitat de Barcelona
- Unstable motions in Celestial Mechanics
- Mercoledì 4 marzo 2026 alle ore 14:30
- aula C03 - Via Mangiagalli 25 - Università degli Studi di Milano
- Abstract
  
  One of the oldest problems in dynamical systems is the stability of the Solar System. That is, consider N bodies moving following Newton's law of gravitation, one of them with large mass (the Sun) and the
  others with small masses (the planets). If one neglects, the gravitational interaction between planets, the classical Kepler's laws assert that the planets move on ellipses. Then, one wants to understand whether the effect of the planet's mutual attraction causes long term changes on the shape and relative position of the Keplerian ellipses.
  Nowadays, it is known that the answer to the stability of the Solar system is rather nuanced and that stability and instability coexist for nearby initial conditions. In this talk I will explain how to
  construct unstable motions in this model, which lead to drastic changes in the semimajor axes, eccentricity and inclination of these ellipses.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

mar 05 gio 2026

MOX Colloquia
Tilmann Gneiting, Assessing Monotone Dependence - with Applications to Weather Prediction, 05-03-2026, ore 14:00

MOX Colloquia
Tilmann Gneiting
HITS Heidelberg Institute for Theoretical Studies
Assessing Monotone Dependence - with Applications to Weather Prediction
Giovedì 5 marzo 2026 alle ore 14:00
Aula Consiglio - VII piano
Abstract

The assessment of monotone dependence between random variables $X$ and $Y$ is a classical problem in statistics and a gamut of application domains. Consequently, researchers have sought measures of association that are invariant under strictly increasing transformations of the margins, with the extant literature being splintered. Rank correlation coefficients, such as Spearman's rho and Kendall's tau, have been studied at great length in the statistical literature, mostly under the assumption that $X$ and $Y$ are continuous. In the case of a dichotomous outcome $Y$, receiver operating characteristic (ROC) analysis and the asymmetric area under the ROC curve (AUC) measure are used to assess monotone dependence of $Y$ on a predictor $X$. In this talk I demonstrate that the two thus far disconnected strands of literature can be unified and bridged, by developing common population level theory, common estimators, and common tests that apply to all types of linearly ordered outcomes. In a case study, we assess recent progress in artificial intelligence based weather prediction (AIWP) versus traditional numerical weather prediction (NWP). The talk is based on joint work with Eva-Maria Walz and Andreas Eberl. 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 during the talk.

Tilmann Gneiting

Tilmann Gneiting received a PhD degree in Mathematics from the University of Bayreuth in Germany in 1997. From 1997 to 2009, he held faculty positions in the Department of Statistics at the University of Washington in Seattle (United States), before moving to the Institute of Applied Mathematics at Heidelberg University in Germany. Since 2013, he has been serving in a joint position as Professor of Computational Statistics at Karlsruhe Institute of Technology (KIT) and Group Leader at the Heidelberg Institute for Theoretical Studies (HITS). Tilmann's research focuses on two main areas, spatial and spatio-temporal statistics, and the theory and practice of forecasting. In 2011, he was awarded an ERC Advanced Grant in support of his research on probabilistic predictions. From 2016 to 2018 Tilmann served as Editor-In-Chief for the Annals of Applied Statistics, and in 2023 and 2024 he held the position of Scientific Director at HITS. Recent awards include the Ulf Grenander Prize in Stochastic Theory and Modeling (2024) by the American Mathematical Society and the Wald Memorial Award (2026) by the Institute of Mathematical Statistics.

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

mar 05 gio 2026

Seminar
Giacomo Sodini, Sobolev functions on spaces of measures and applications, 05-03-2026, ore 14:30
- Seminar
- Giacomo Sodini
- TU Wien
- Sobolev functions on spaces of measures and applications
- Giovedì 5 marzo 2026 alle ore 14:30
- Aula seminari, III piano
- Abstract
  
  After a brief introduction to the Wasserstein and Hellinger-Kantorovich distances on the space of (probability) measures, we discuss two approaches to the definition of differentiable functions on spaces of measures. Provided a suitable (and in a way canonical) reference measure is chosen, we show that the two approaches coincide. Finally, we discuss some possible applications such as the study of HJB equations and stochastic processes on spaces of measures.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 06 ven 2026

MOX Events
Milene Santos, High-order discontinuous Galerkin method for curved boundary domains, 06-03-2026, ore 14:00
- MOX Events
- Milene Santos
- CMUC, University of Coimbra
- High-order discontinuous Galerkin method for curved boundary domains
- Venerdì 6 marzo 2026 alle ore 14:00
- Aula Saleri
- Abstract
  
  The ever-increasing complexity of real-world applications has raised important challenges in the search for accurate and efficient numerical methods for solving partial differential equations. In particular, we are interested in modelling light propagation in the human cornea, where curvature and microstructural organisation have a strong influence on physical behaviour and pose significant challenges for the accurate numerical simulation of these phenomena. To address these challenges, we present a high-order numerical approach based on discontinuous Galerkin methods combined with a polynomial reconstruction strategy. This approach effectively handles curved boundary domains without relying on curved meshes and preserves the optimal convergence order that is often lost with standard polygonal approximations. The proposed method is supported by theoretical analysis and validated through numerical tests.
  
  This seminar is part of the activities of Department of Excellence, Line 2.
  
  Contatti:
  paola.antonietti@polimi.it
  luca.formaggia@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
mar 13 ven 2026

MOX Events
Sergio Alejandro Gomez Macias, A variational perspective on Galerkin-type time discretizations, 13-03-2026, ore 11:00
- MOX Events
- Sergio Alejandro Gomez Macias
- University of Milano Bicocca
- A variational perspective on Galerkin-type time discretizations
- Venerdì 13 marzo 2026 alle ore 11:00
- Aula Saleri
- Abstract
  
  Galerkin-type time discretizations provide a robust and flexible tool for the numerical approximation of time-dependent problems. By formulating the temporal evolution in a variational setting, these methods are endowed with outstanding stability and approximation properties, as well as a more natural reproduction of key features of the continuous problem at the discrete level. This talk gives an overview of continuous and discontinuous Galerkin time discretizations for parabolic and hyperbolic problems, highlighting their interpretation as variational time integrators and their advantages over classical time-stepping schemes. We also discuss the main challenges in the stability analysis of these methods, and present a recent approach that closes several gaps in the literature.
  
  Contatto:
  paola.antonietti@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
mar 16 lun 2026

MOX Events
Alfio Borzì, Reservoir Computing for Scientific Modeling and Data Analysis, 16-03-2026, ore 10:30
- MOX Events
- Alfio Borzì
- University of Wuerzburg
- Reservoir Computing for Scientific Modeling and Data Analysis
- Lunedì 16 marzo 2026 alle ore 10:30
- Aula Saleri
- Abstract
  
  A survey of reservoir computing (RC) as a dynamical framework for learning, classification, prediction, and data analysis is presented. Three reservoir architectures are considered: the echo-state network, a FitzHugh-Nagumo excitable network, and a transformer-inspired reservoir, which are implemented to perform tasks of increasing complexity: learning logical functions, physics-informed solving of the damped harmonic oscillator (including autonomous rollout), image classification with an untrained convolutional front-end, and multi-input RC for CLIP-style language-image pre-training.
  
  Contatto:
  gabriele.ciaramella@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

mar 19 gio 2026

MOX Colloquia
Sebastian Geiger, Modelling for understanding – old problems and new challenges for the energy transition, 19-03-2026, ore 14:00

MOX Colloquia
Sebastian Geiger
Delft University of Technology
Modelling for understanding – old problems and new challenges for the energy transition
Giovedì 19 marzo 2026 alle ore 14:00
Sala Consiglio, Dipartimento di Matematica, Politecnico di Milano
Abstract

Geoenergy applications beyond hydrocarbons will play an essential role in accelerating the energy transition: Carbon capture and storage (CCS) is one of the most important approaches to mitigate CO2 emissions; approximately 50% of the energy consumed in the northern hemisphere is needed for heating and cooling, and the expanded use of geothermal energy could lead to significant CO2 reduction; the development of a hydrogen economy for power, transport, and production will rely on intermittent hydrogen storage in geological formations or salt caverns.

All these low-carbon geoenergy applications need bespoke reservoir modelling approaches to estimate available pore volumes for storage, capture how fluids with vastly different properties (e.g. hydrogen vs. hot water) interact with multi-scale geological heterogeneities, and quantify possible operational risks (e.g., early breakthrough of cold water during geothermal energy extraction) while accounting for the uncertainties inherent to geological formations.

This talk will explore how mathematical techniques could be adapted to overcome limitations in existing modelling approaches for low-carbon geoenergy applications. Such new modelling approaches should help to ensure that we design meaningful reservoir models that can provide reservoir performance forecasts with reliable uncertainty bounds, which are needed for new geoenergy applications to advance our transition to a low-carbon energy future.

Contatto:
alessio.fumagalli@polimi.it

Sebastian Geiger

Prof. Dr. Sebastian Geiger, FREng, FRSE, FGS is the Professor of Sustainable Geoenergy and Energi Simulation Chair at the Department of Geoscience and Engineering at the Delft University of Technology. Before joining the Delft University of Technology in 2022, he spent 16 years at Heriot-Watt University where he held the Energi Simulation Chair for Fractured and Geothermal Reservoirs, was the Director of the Institute of Geoenergy Engineering, and was Director of Research for the School of Energy, Geoscience, Infrastructure, and Society.

Sebastian received a PhD degree in Computational Geology from ETH Zurich in 2004 and worked at ETH Zurich as a postdoctoral researcher. He holds an MSc degree in Hydrogeology from Oregon State University (2000) and a Vordiplom (equivalent to BSc degree) in Geology and Mineralogy from the University of Freiburg, Germany (1997). He joined Heriot-Watt University in 2006 as an Assistant Professor and was promoted to Associate Professor in 2009 and Full Professor in 2010.

In 2017 Sebastian received the Alfred Wegener Award from the European Association of Geoscientists and Engineers (EAGE). In 2020 he was appointed as a Fellow of the Royal Society of Edinburgh, Scotland’s national academy of science and letters. In 2022 he was elected as a Fellow of the Royal Academy of Engineering in the UK and in 2024 as a Fellow of the Geological Society of London. He has published over 200 reviewed conference papers and peer-reviewed journals and edited one book. He graduated over 30 PhD students, supervised over 100 MSc project theses, and trained over 10 postdoctoral researchers.

Sebastian is the Editor-in-Chief for the journal Geoenergy and works closely with professional societies such as the European Association of Geoscientists and Engineers. He is also an instructor for HOT Engineering, is a Board Member for the Scottish Energy Forum, and a scientific advisor to NAGRA (Swiss National Cooperative for the Disposal of Radioactive Waste). Together with Dr Hadi Hajibeygi, he created the Geoscience and Geoenergy YouTube Channel, which broadcasts webinars to an audience of over 3700 subscribers across the world.

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 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 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
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