Model-theoretic distality and incidence combinatorics
673 views · Published 30 January 2018 · 55:00 · Indexed 21 September 2026
Channel: Institut Henri Poincaré · 2018 · Science & Technology
By Artem Chernikov (UCLA) Abstract: In this talk I will give an overview of some recent developments on the interplay of model theory, hypergraph regularity and incidence combinatorics. We will focus on the notion of a distal structure and its local variants, which provide an abstract setting for “characteristic 0” incidence combinatorics. In particular, I will present joint work with David Galvin and Sergei Starchenko on generalizing various incidence bounds (e.g. the Szemer´edi–Trotter theorem, strong Erd˝os–Hajnal property, etc.) from the semialgebraic setting to arbitrary distal structures (which includes o-minimal structures, p-adics, etc.).
More from this channel
-
54:09
Le nombre de rotation et ses avatars
-
1:30:06
12e Forum des jeunes mathématiciennes - Femmes et Mathématiques
-
32:09
Hénon's generating solutions and the structure of periodic orbits families...
-
38:22
Michel Hénon et les amas globulaires
-
48:30
Gilbert Levitt - Vertex finiteness for relatively hyperbolic groups
-
20:25
1 - Kick-off afternoon : introduction and welcoming word by Cédric Villani
-
1:04:53
9 - Lectures : Jean-Yves Girard 2/3, Qu'est-ce qu'une question ? (le format)
-
3:04
16/11/2015 - Jean Philippe Uzan - Introduction