Combinatorics of CAT(0) cubical complexes and crossing complexes

Abstract: Simplicial complexes and cubical complexes contain a lot of interesting combinatorics. In this talk, we will examine special cases of each, namely flag simplicial complexes and CAT(0) cubical complexes, and we will connect them by introducing the crossing complex. The crossing complex unlocks many deep similarities between these two notions: in this talk, we will use it to relate their $f$-vectors, topology and several other combinatorial properties.

combinatoricsmetric geometry

Audience: researchers in the topic

UW combinatorics and geometry seminar