Non UBC
DSpace
Ayala, David
2019-03-25T02:08:25Z
2018-05-09T10:00
In this talk I will articulate and contextualize the following sequence of results.
<ul>
<li>The Bruhat decomposition of the general linear group defines a stratification of the orthogonal group.</li>
<li>Matrix multiplication defines an algebra structure on its exit-path category in a certain Morita category of categories.</li>
<li>In this Morita category, this algebra acts on the category of $n$-categories -- this action is given by adjoining adjoints to
$n$-categories.</li>
</ul>
This result is extracted from a larger program -- entirely joint with John Francis, some parts joint with Nick Rozenblyum -- which proves the cobordism hypothesis.
https://circle.library.ubc.ca/rest/handle/2429/69190?expand=metadata
65.0
video/mp4
Author affiliation: Montana State University
Oaxaca (Mexico : State)
10.14288/1.0377432
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Algebraic topology
Category theory; homological algebra
Adjoints and orthogonal groups
Moving Image
http://hdl.handle.net/2429/69190