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SUMMARY:Lax higher category theory [MPIM]
DTSTART:20250519T120000Z
DTEND:20250519T130000Z
DTSTAMP:20260416T084000Z
UID:indico-event-425@math-events.uni-bonn.de
DESCRIPTION:Speakers: David Gepner (JHU/MPIM)\n\nMPI Topology Seminar\nThe
  Gray tensor product is an essential operation in higher category theory w
 hich systematically replaces the cartesian product. It forms a nonsymmetri
 c biclosed monoidal structure on (infinity\,infinity)-categories which cor
 epresents functors and (op)lax natural transformations. It turns out that 
 essentially all operations of interest in higher categorical settings are 
 only functorial in this (op)lax sense\, and that the (more) correct object
 s to study are categories enriched in (infinity\,infinity)-categories unde
 r the Gray tensor product. We will explain this philosophy and some elemen
 tary notions in this setting\, including fibrations and (op)lax (co)limits
 . This is joint work with Hadrian Heine.\n\nhttps://math-events.uni-bonn.d
 e/event/425/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/425/
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