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Deformation Theory Seminar

Monday, November 29, 2021 - 2:00pm

Jelena Ivanovi\'c

University Belgrade


University of Pennsylvania

New Zoom link 968 5091 6585

Topic Deformation Seminar 2021-22 Meeting ID 968 5091 6585 Time Nov 29, 2021 02:00 PM Eastern Time (US and Canada)

In the early 1990s, a family of combinatorial CW-complexes named

permutoassociahedra was introduced by Kapranov, and it was realized

by Reiner and Ziegler as a family of convex polytopes. The polytopes

in this family are \hybrids" of permutohedra and associahedra. Since

permutohedra and associahedra are simple, it is natural to search for

a family of simple permutoassociahedra, which is still adequate for

a topological proof of Mac Lane's coherence. Such a family, intro-

duced in the paper A simple permutoassociahedron co-authored with

Zoran Petri c and -Dord e Barali c, will be presented in this talk. Beside

the combinatorial definition of the family, two different geometrical

realisations willalso be shown.