Event Details

May 28 - June 2, 2023

The Institute of Mathematics at the University of Granada will host the "Nonlinear Diffusion and nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures" workshop at the University of Granada (IMAG) in Spain, from May 28 - June 2, 2023.

Mathematical models with nonlinear diffusion and many-body systems have a long history in applied mathematics, dating back to classical applications in physics. Their tremendous flexibility to describe unrelated phenomena has made them omnipresent across the sciences: from physic, biology, economics, social sciences, to artificial intelligence, machine learning, data science and complex systems. Similarly, their mathematical study spans several fields within mathematics, including local and nonlocal partial differential equations of nonlinear diffusion type, many-particle systems with interactions, kinetic equations, network and graph based modelling. While these fields feature each one a somehow independent literature, it has become clear in recent years that a deep connection among them is present.

Well established domains of mathematical analysis such as functional inequalities, gradient flows, mean-field limits and entropy methods are the main examples of common fields of interplay for those families of models. Outstanding results have been recently obtained in the literature with respect to well-posedness, stability for sharp inequalities, asymptotic behavior, and mean-field limits, and yet so many crucial questions remain open, requiring the development of more sophisticated analytical tools. In particular, the connection of nonlinear diffusions and nonlocal many-particle systems with artificial intelligence and machine learning came up quite recently and is a very fertile ground for cross sharing of new ideas and innovative, interdisciplinary thinking.

The program's primary objective is to foster new collaborations, both on existing links within the analysis of PDEs and calculus of variations communities, and towards a closer interplay with machine learning and artificial intelligence. We will foster the communication of the latest vanguard results of interest for the above fields, to find a common ground of collaboration and promote cross-pollination of the technical advancements. To this aim, the program will feature both world leading experts in nonlinear diffusion models, nonlocal many-particle systems modelling, kinetic PDEs, and machine learning modelling, together with some of the most promising young researchers in those fields.

More information can be found on the BIRS website.

Online attendance

The talks of this workshop will be broadcast via Google Meet and they can be followed at https://meet.google.com/psn-fqfy-ncz



Further details, including abtracts of the talks, can be found on the BIRS website.


Confirmed Participants

  1. Elena Ambrogi (Sorbonne Université)
  2. Itahisa Barrios (Universidad Autónoma de Madrid)
  3. José A. Cañizo (Universidad de Granada)
  4. José Carrillo (University of Oxford)
  5. Matías Delgadino (UT Austin)
  6. Ata Deniz Aydin (ETH Zürich)
  7. Laurent Desvillettes (université Paris Cité)
  8. Simone Di Marino (Università di Genova)
  9. Jean Dolbeault (Université Paris-Dauphine)
  10. Antonio Esposito (Mathematical Institute, University of Oxford)
  11. Gissell Estrada-Rodriguez (Mathematical Institute, University of Oxford)
  12. Josephine Evans (University of Warwick)
  13. Xavier Fernández-Real (EPFL)
  14. Federico Franceschini (ETH Zürich)
  15. Rupert Frank (University of Munich)
  16. Carlos Fuertes (Universidad Autónoma de Madrid)
  17. Antoine Gagnebin (ETH Zürich)
  18. Irene M. Gamba (University of Texas, Austin)
  19. Nicolas Garcia Trillos (University of Wisconsin Madison)
  20. Adriana Garroni (Università di Roma Sapienza)
  21. Francois Golse (École polytechnique)
  22. David Gómez Castro (Universidad Complutense de Madrid)
  23. Megan Griffin-Pickering (University College London)
  24. Maria Gualdani (University of Texas, Austin)
  25. Mingyi Hou (Uppsala University)
  26. Peio Ibarrondo (Universidad Autónoma de Madrid)
  27. Valeria Iorio (University of L'Aquila)
  28. Mikel Ispizua (Universidad Autónoma de Madrid)
  29. Matthew Jacobs (Purdue University)
  30. David Lee (Sorbonne Université)
  31. Angeliki Menegaki (Université Paris-Saclay)
  32. Alexander Mielke (Weierstrass Institute for Applied Analysis and Stochastics)
  33. Clement Mouhot (University of Cambridge)
  34. Matteo Muratori (Politecnico di Milano)
  35. Christian Parsch (Technical University of Munich)
  36. Emanuela Radici (University of L'Aquila)
  37. Alexandre Rege (ETH Zürich)
  38. Ariel Salort ()
  39. Filippo Santambrogio (Université Claude Bernard Lyon 1)
  40. Giuseppe Savare (Bocconi University)
  41. Markus Schmidtchen (Technische Universität Dresden)
  42. Nikita Simonov (Sorbonne Université)
  43. Dejan Slepcev (Carnegie Mellon University)
  44. Juan Luis Vazquez (Universidad Autónoma de Madrid)
  45. Bruno Volzone (Università di Napoli "Parthenope")
  46. Raphael Winter (University of Vienna)
  47. Stephan Wojtowytsch (Texas A&M University)
  48. Yao Yao (National University of Singapore)
  49. Havva Yoldaş (Delft University of Technology)