28–30 Aug 2024
Bldg. S1-6 (자연대6호관)
Asia/Seoul timezone

Alternating $\mathcal{B}$-permutations arising from toric topology

29 Aug 2024, 15:00
30m
107 (Bldg. S1-6 (자연대6호관))

107

Bldg. S1-6 (자연대6호관)

Chungbuk National University (충북대학교) Cheongju, Korea.

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.

Primary authors

Prof. Suyoung Choi (Ajou university) Younghan Yoon (Ajou University)

Presentation materials

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