2024 Combinatorics Workshop

Alternating B-permutations arising from toric topology

29 Aug 2024, 15:00

30m

107 (Bldg. S1-6 (자연대6호관))

Contributed Talk

Speaker

Younghan Yoon (Ajou University)

Description

In this talk, we focus on the rational Betti numbers of real toric manifolds associated with chordal nestohedra. We introduce an explicit description for the Betti numbers using alternating $\mathcal{B}$-permutations for a chordal building set $\mathcal{B}$. We provide detailed computations for interesting cases of chordal nestohedra, including permutohedra, associahedra, stellohedra, Stanley-Pitman polytopes, and Hochschild polytopes.
This is joint work with Suyoung Choi.