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SUMMARY:Orthogonal group and adjoints - David Ayala (Montana State Univers
 ity)
DTSTART:20181127T153000Z
DTEND:20181127T163000Z
UID:TALK114988@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In<br> this talk I will articulate and contextualize the follo
 wing sequence of results.<br> <br> The<br>      Bruhat decomposition of th
 e general linear group defines a stratification<br>      of the orthogonal
  group.Matrix<br>      multiplication defines an algebra structure on its 
 exit-path category in a<br>      certain Morita category of categories. &n
 bsp\;In<br>      this Morita category\, this algebra acts on&nbsp\;the cat
 egory of<br>      n-categories&nbsp\;-- this action is given by adjoining 
 adjoints to<br>      n-categories.&nbsp\;<br> <br> This result is extracte
 d from a<br> larger program -- entirely joint with John Francis\, some par
 ts joint with Nick<br> Rozenblyum -- which proves the cobordism hypothesis
 . &nbsp\;<br> <br>
LOCATION:Seminar Room 2\, Newton Institute
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