University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Orthogonal group and adjoints

Orthogonal group and adjoints

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact info@newton.ac.uk.

HHH - Homotopy harnessing higher structures

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.  

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity