## Homological Projective Geometry

Qingyuan Jiang

The Chinese University of Hong Kong; Member, School of Mathematics

September 26, 2018

Qingyuan Jiang

The Chinese University of Hong Kong; Member, School of Mathematics

September 26, 2018

Mika Göös

Member, School of Mathematics

September 26, 2018

Shai Evra

The Hebrew University of Jerusalem; Member, School of Mathematics

September 26, 2018

Celso dos Santos Viana

University College London; Member, School of Mathematics

September 26, 2018

Gao Chen

Member, School of Mathematics

September 26, 2018

Guher Camliyurt

University of Southern California; Member, School of Mathematics

September 25, 2018

Xin Zhou

University of California, Santa Barbara; Member, School of Mathematics

September 25, 2018

Lucas Ambrozio

University of Warwick; Member, School of Mathematics

September 25, 2018

Daniel Alvarez-Gavela

Member, School of Mathematics

September 25, 2018

Ehud Friedgut

The Weizmann Institute of Science

September 24, 2018

The EKR theorem, which is the cornerstone of extremal combinatorics, characterizes maximal intersecting families of sets. Its setting fixes a ground set of size n, and then studies the size and structure of intersecting families of subsets of fixed size k. A setting which many might consider no less natural, is considering the Boolean lattice of all subsets of {1,...,n} endowed with a product measure, and studying the structure and measure of maximal intersecting families.