A simple proof of the Gagliardo-Nirenberg inequalities (involving the Sobolev inequality)is presented by means of the heat semigroup.This talk is based on a recent joint-work with Taiki Takeuchi, Waseda University.…
Eventi
On the infinite dimension limit of invariant measures and solutions of Zeitlin’s 2D Euler equations – Milo Viviani (SNS)
In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure.…
Optimal regularity for supercritical parabolic obstacle problems – Damià Torres (Universitat de Barcelona)
The parabolic nonlocal obstacle problem is said to be in the supercritical regime (s < 1/2) when the time derivative…
Log Prym varities – Andrea Di Lorenzo (Berlin)
Given a finite morphism of smooth curves, the Prym variety parametrizes line bundles on the source whose norm is isomorphic to the canonical bundle of the target. What if the target and/or the source are not smooth? Several people already…
Recurrence for smooth curves in the moduli space of translation surfaces – Krzysztof Frączek
My talk is a kind of review of problems and recent results regarding smooth curves in the moduli space of translation surfaces and Teichmüller positive semi-orbits starting from such curves. I plan to present some abstract results about the…
An unbounded version of Zarankiewicz’s problem – Pantelis Eleftheriou (University of Leeds)
Zarankiewicz’s problem for hypergraphs asks for upper bounds on the number of edges of a hypergraph that has no complete sub-hypergraphs of a given size. Let M be an o-minimal structure. Basit-Chernikov-Starchenko-Tao-Tran (2021) proved that the…
Almost minimizers for the parabolic thin obstacle problem – Seongmin Jeon (KTH Royal Institute of Technology)
We consider almost minimizers for the parabolic thin obstacle (or Signorini) problem with zero obstacle. We establish their $H^{\sigma, \sigma/2}$-regularity for…
Opinion dynamics with Lotka-Volterra type interactions – Michele Aleandri (Università di Roma La Sapienza)
We investigate a class of models for opinion dynamics in a population with two interacting families of individuals. Each family…
On nonlinear Markov Processes in the sense of McKean – Marco Rehmeier (Bielefeld University)
We study nonlinear Markov processes in the sense of McKean and present a large new class of examples. Our notion…
COLLOQUIO DE GIORGI – Dirac and Lagrange structures in energy-based mathematical modeling – Volker Mehrmann (Technische Universität Berlin)
Most real world dynamical systems consist of subsystems from different physical domains, modelled by partial-differential equations, ordinary differential equations, and algebraic equations, combined with input and output connections.…