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Orthogonal group and adjoints

Presented by: 
David Ayala
Tuesday 27th November 2018 - 15:30 to 16:30
INI Seminar Room 2
this talk I will articulate and contextualize the following sequence of results.

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

This result is extracted from a
larger program -- entirely joint with John Francis, some parts joint with Nick
Rozenblyum -- which proves the cobordism hypothesis.  

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons