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SUMMARY:Wendy Lowen (University of Antwerp\, Belgium)
DTSTART:20200625T120000Z
DTEND:20200625T130000Z
DTSTAMP:20260423T024800Z
UID:LAGOON/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/6/">L
 inear quasi-categories as templicial modules</a>\nby Wendy Lowen (Universi
 ty of Antwerp\, Belgium) as part of Longitudinal Algebra and Geometry Open
  ONline Seminar (LAGOON)\n\n\nAbstract\n(joint work with Arne Mertens) We 
 introduce a notion of enriched infinity categories over a given monoidal c
 ategory\, in analogy with quasi-categories over the category of sets. We m
 ake use of certain colax monoidal functors\, which we calltemplicial objec
 ts\, as a replacement of simplicial objects that respects the monoidal str
 ucture. We relate the resulting enriched quasi-categories to nonassociativ
 e Frobenius monoidal functors\, allowing us to prove that the free templic
 ial module over an ordinary quasi-category is a linear quasi-category. To 
 any dg category we associate a linear quasi-category\, the linear dg nerve
 \, which enhances the classical dg nerve\, and we argue that linear quasi-
 categories can be seen as relaxations of dg-categories.\n
LOCATION:https://researchseminars.org/talk/LAGOON/6/
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