Toda brackets in n-angulated categories - Martin Frankland (University of Regina) 

This is a recorded version of the following talk from our "New Directions in Group Theory and Triangulated Categories" series. To receive updates about this series, or to suggest speakers (including yourself), please email me at rudradipbiswas@gmail.com.
The 102nd talk (by Lukas Bonfert on 10 Oct) was not recorded.
More details about this seminar series are here -
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103rd Meeting of "New Directions in Group Theory and Triangulated Categories"
Date: October 17, 2024; Thursday
Time: 4 pm UK
Speaker: Martin Frankland (University of Regina)
Title: Toda brackets in n-angulated categories.
Abstract: Geiss, Keller, and Oppermann introduced n-angulated categories to capture the structure found in certain cluster tilting subcategories in quiver representation theory. Jasso and Muro investigated Toda brackets and Massey products in such cluster tilting subcategories by using the ambient triangulated category. In joint work with Sebastian Martensen and Marius Thaule, we introduce Toda brackets in n-angulated categories, generalizing Toda brackets in triangulated categories (the case n=3). We will look at different constructions of the brackets, their properties, some examples, and some applications.
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