Andrey Kupavskii (MIPT, Moscow): Spread approximations and forbidden subconfigurations

Seminar on Extremal Sets jointly with the BBC + G (Big Budapest Combinatorics + Geometry) Seminar

Abstract:

In this talk, we discuss a general method to approach a certain class of Turán-type problems, which complements the existing Delta-system method and junta approximation method. We refer to it as 'spread approximations method'. The method is based on the notion of r-spread families and builds on the recent breakthrough result of Alweiss, Lovett, Wu and Zhang for the Erdos–Rado Sunflower Conjecture. We will present some of its applications to questions for families of different classes of objects: sets, permutations, partitions, and complexes.

The lecture can be followed by zoom if necessary:

• Zoom link: https://zoom.us/j/96029300722
• The password is the first 6 terms from the Fibonacci sequence starting with 11.