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SUMMARY:Infinitesimal higher symmetries and connections on higher bundles
DTSTART:20250402T141500
DTEND:20250402T151500
DTSTAMP:20260506T165901Z
UID:2d1c99cb9c7d27d0897cbcf8f065194b4e9a5d1ee92afa23ff5c8cf9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Severin Bunk\, University of Hertfordshire\nEvery principal bu
 ndle on a manifold has a universal symmetry group. It controls equivariant
  structures\, and its tangent Lie algebra controls connections on the bund
 le.\nIn this talk we extend these concepts to higher\, or categorified bun
 dles. We will use a family‐version of the Lurie-Pridham Theorem from der
 ived deformation theory to compute the associated L_∞-algebras\, or rath
 er L_∞-algebroids. That allows us to provide a unified definition of con
 nections on higher bundles and an algebraic formulation of differential co
 homology. We elaborate in particular on the case of higher U(1)‐bundles\
 , or n‐gerbes.\nThis is joint work with Lukas Müller (Perimeter Institu
 te)\, Joost Nuiten (Toulouse) and Richard Szabo (Heriot-Watt).\n\n 
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517 https://epfl.zo
 om.us/j/67128377719?pwd=66bgm6rdbnaPX8XiAZfSwtqnfauQE3.1
STATUS:CONFIRMED
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