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SUMMARY:Dmitri Pavlov (Texas Tech University)
DTSTART:20220330T160000Z
DTEND:20220330T170000Z
DTSTAMP:20260423T021439Z
UID:TQFT/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/52/">Th
 e geometric cobordism hypothesis</a>\nby Dmitri Pavlov (Texas Tech Univers
 ity) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\nLe
 cture held in Room 3.10 (3rd floor\, Mathematics Department\, Instituto Su
 perior Técnico).\n\nAbstract\n<p>I will explain my recent work with Danie
 l Grady on the locality of functorial field theories (arXiv:2011.01208) an
 d the geometric cobordism hypothesis (arXiv:2111.01095). The latter genera
 lizes the Baez–Dolan cobordism hypothesis to nontopological field theori
 es\, in which bordisms can be equipped with geometric structure\, such as 
 smooth maps to a fixed target manifold\, Riemannian metrics\, conformal st
 ructures\, principal bundles with connection\, or geometric string structu
 res.</p>\n\n<p>Applications include</p>\n\n<ul>\n	<li>a generalization of 
 the Galatius–Madsen–Tillmann–Weiss theorem\;</li>\n	<li>a solution t
 o a conjecture of Stolz and Teichner on representability of concordance cl
 asses of functorial field theories\;</li>\n	<li>a construction of power op
 erations on the level of field theories (extending the recent work of Bart
 hel–Berwick-Evans–Stapleton)\;</li>\n	<li>and a recent solution by Gra
 dy of a conjecture by Freed and Hopkins on deformation classes of reflecti
 on positive invertible field theories.</li>\n</ul>\n\n<p><br />\nIf time p
 ermits\, I will talk about planned work on the nonperturbative quantizatio
 n of functorial field theories and generalized Atiyah–Singer-style index
  theorems.</p>\n
LOCATION:https://researchseminars.org/talk/TQFT/52/
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