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Group operator algebras and Non commutative geometry / Algèbres d'opérateurs de groupes et Geometrie non commutative
4 videos

Group operator algebras and Non commutative geometry / Algèbres d'opérateurs de groupes et Geometrie non commutative

Albert Schwarz : Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints
3 videos

Albert Schwarz : Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints

Not Only Scalar Curvature Seminar
60 videos

Not Only Scalar Curvature Seminar

Clément Delcamp : Topological Symmetry and Duality in Quantum Lattice Models
4 videos

Clément Delcamp : Topological Symmetry and Duality in Quantum Lattice Models

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Combinatorics and Arithmetic for Physics: special days 2023

Collection Combinatorics and Arithmetic for Physics: special days 2023

Organizer(s) Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV and Karol A. PENSON
Date(s) 15/11/2023 - 17/11/2023
linked URL https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP10_2023.html
00:00:00 / 00:00:00
13 27

What does perturbative field theory teaches us on the statistical properties of Monge-Kantorovich Optimal Transportation in dimension 2?

By Andrea Sportiello

We all know that Feynman diagrams and integrals describe quantities in Particle Physics, and, sometimes, in Statistical Mechanics. We also know that, in these circumstances, we have to learn how to ”deal with infinities”, and regularise certain divergences. It may appear more suprising that the same ideas apply to this famous old problem in Functional Analysis, and also the same pathologies do arise. But at least, in this case, we see more clearly where do they come from. The precise content of the talk is still to be determined, but the message shall be twofold: on one side, we get results on the Optimal Transportation Problem in itself; on the other side, we learn a lesson on why a more naive approach does fail, while a more accurate approach allows to cure the apparent divergences, which could be of general interest.

Information about the video

  • Date of recording 16/11/2023
  • Date of publication 22/11/2023
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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