TY - ELEC
AU - Ayala, David
PY - 2018
TI - Adjoints and orthogonal groups
LA - eng
M3 - Moving Image
AB - In this talk I will articulate and contextualize the following sequence of results.
- The Bruhat decomposition of the general linear group defines a stratification of the orthogonal group.
- Matrix multiplication defines an algebra structure on its exit-path category in a certain Morita category of categories.
- In this Morita category, this algebra acts on the category of $n$-categories -- this action is given by adjoining adjoints to
$n$-categories.

This result is extracted from a larger program -- entirely joint with John Francis, some parts joint with Nick Rozenblyum -- which proves the cobordism hypothesis.
N2 - In this talk I will articulate and contextualize the following sequence of results.
- The Bruhat decomposition of the general linear group defines a stratification of the orthogonal group.
- Matrix multiplication defines an algebra structure on its exit-path category in a certain Morita category of categories.
- In this Morita category, this algebra acts on the category of $n$-categories -- this action is given by adjoining adjoints to
$n$-categories.

This result is extracted from a larger program -- entirely joint with John Francis, some parts joint with Nick Rozenblyum -- which proves the cobordism hypothesis.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377432
ER - End of Reference