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Orthogonal group and adjoints

Presented by: 
David Ayala Montana State University
Date: 
Tuesday 27th November 2018 - 15:30 to 16:30
Venue: 
INI Seminar Room 2
Abstract: 
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.  
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons