Extremal Set Theory - Andrey Kupavskii

Dive into the fascinating world of extremal set theory in this comprehensive seminar presented by Andrey Kupavskii, a member of the School of Mathematics at the Institute for Advanced Study. Explore key concepts such as shifting, shifting families, partial order, and the intriguing Katniss Theorem. Gain insights into binomial coefficients, shadow minimization, and order analysis. Follow along as Kupavskii breaks down complex proofs through case analysis and induction, ultimately leading to a deeper understanding of threshold concepts in discrete mathematics and computer science.

Intro
Questions
Properties
Shifting
Shifting family
Shifting families
Partial order
Hunters
Aetherium
Katniss Theorem
Binomial Coefficient
Minimize the Shadow
Call X Order
Case analysis
Proof
Case I
Case II
Induction
Threshold