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…
Eventi
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.…
Algebraic classes in mixed characteristic and André’s p-adic periods – Giuseppe Ancona (Université de Strasbourg)
(Joint work with D. Fratila) Motivated by the study of algebraic classes in mixed characteristic, we define a countable subalgebra of ${\Bbb Q}_p$ which we call the algebra of “Andre’s p-adic periods”. We will explain the analogy and the difference…
Applications of AAA Rational Approximation – Lloyd N. Trefethen (Mathematical Institute, University of Oxford)
For the first time, a method has recently become available for fast computation of near-best rational approximations on arbitrary sets in the real line or complex plane: the AAA algorithm (Nakatsukasa-Sete-T. 2018). We will present the algorithm and…
Winter School “Geometry, Algebra and Combinatorics of Moduli Spaces and Configurations V”
Attractors of dual continued fractions – Giovanni Panti
Given a Farey-type map F with full branches in the extended Hecke group Gamma_m, its dual F_# results from constructing the natural extension of F, letting time go backwards, and projecting. Although numerical simulations may suggest otherwise, we…