Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International Seminar for Young Researchers "Algebraic, Combinatorial and Toric Topology"
December 18, 2020 17:00–17:40, online
 


One-relator loop homology algebras of moment-angle complexes

G. Simmons

University of Southampton
Video records:
MP4 198.2 Mb

Number of views:
This page:31
Video files:8


Видео не загружается в Ваш браузер:
  1. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  2. Сообщите администратору портала о данной ошибке

Abstract: For a flag complex $K$, we give a necessary and sufficient combinatorial condition for the loop homology algebra of the moment-angle complex $\mathcal Z_K$ to be a one-relator algebra. The condition we specify also characterises when the commutator subgroup of the right-angled Coxeter group corresponding to $K$ is a one-relator group, providing a combinatorial link between distinct concepts of geometric group theory and homotopy theory. Returning to moment-angle complexes, we give other equivalent algebraic and homotopy-theoretic formulations of our condition. In the non-flag case, many of these equivalences no longer hold, and we will present some of the key differences.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021