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DTSTART:20260308T070000
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DTSTART:20261101T060000
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DTSTART;TZID=America/Toronto:20261105T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-cameron-krulewski-invertible
SUMMARY:Geometry and Topology Seminar | Cameron Krulewski | Invertible Fiel
 d\nTheories and the Bott Spiral
CLASS:PUBLIC
DESCRIPTION:CAMERON KRULEWSKI (PERIMETER INSTITUTE)\n\n_Invertible Field Th
 eories and the Bott Spiral_\n\nSymmetry-protected topological phases of ma
 tter (SPTs) admit\ndescriptions in terms of homotopy theory. Freed--Hopkin
 s defined\n\"free-to-interacting maps\" to model the physical process of c
 omparing\nfree fermion SPTs (classified by K-theory) with more general\,\n
 interacting models (classified by certain invertible functorial field\nthe
 ories). With Debray and Stehouwer\, we generalized this approach to\nstudy
  the \"Bott spiral\" of SPTs constructed by Queiroz--Khalaf--Stern.\nAfter
  reviewing the homotopical classification of invertible field\ntheories\, 
 I will discuss our construction and some subtleties that\narise in definin
 g free-to-interacting maps\, such as compatibility with\ndimensional reduc
 tion\, continuous versus discrete symmetry types\, and\nthe lack of intera
 cting Morita invariance.\n\nMC 5417
DTSTAMP:20261101T153025Z
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