BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Domenico Fiorenza (Sapienza University of Rome)
DTSTART:20230307T213000Z
DTEND:20230307T230000Z
DTSTAMP:20260422T174004Z
UID:tandg/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/3/">St
 ring bordism invariants in dimension 3 from U(1)-valued TQFTs</a>\nby Dome
 nico Fiorenza (Sapienza University of Rome) as part of Topology and Geomet
 ry Seminar (Texas\, Kansas)\n\n\nAbstract\nThe third string bordism group 
 is known to be $\\mathbb{Z}/24\\mathbb{Z}$. Using Waldorf's notion of a ge
 ometric string structure on a manifold\, Bunke–Naumann and Redden have e
 xhibited integral formulas involving the Chern–Weil form representative 
 of the first Pontryagin class and the canonical 3-form of a geometric stri
 ng structure that realize the isomorphism ${\\rm Bord}_3^{\\rm String} \\t
 o \\mathbb{Z}/24\\mathbb{Z}$ (these formulas have been recently rediscover
 ed by Gaiotto–Johnson-Freyd–Witten). In the talk I will show how these
  formulas naturally emerge when one considers the U(1)-valued 3d TQFTs ass
 ociated with the classifying stacks of Spin bundles with connection and of
  String bundles with geometric structure. Joint work with Eugenio Landi (<
 a href="https://arxiv.org/abs/2209.12933v2">arXiv:2209.12933</a>).\n
LOCATION:https://researchseminars.org/talk/tandg/3/
END:VEVENT
END:VCALENDAR