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SUMMARY:Matteo Montagnani (Mainz): Geometric properties of analytic catego
 ries of sheaves
DTSTART:20261029T131500Z
DTEND:20261029T141500Z
DTSTAMP:20261025T162900Z
UID:indico-event-266@indico.zdv.uni-mainz.de
DESCRIPTION:Speakers: Matteo Montagnani\n\nGeometric properties of analyti
 c categories of sheaves\n In algebraic geometry\, it is a well-establishe
 d practice to study geometric properties of algebraic varieties through th
 e study of certain categories of sheaves. For instance\, smooth algebraic 
 varieties can be intrinsically characterized using Kontsevich's notion of 
 a smooth category. In this talk\, we discuss the key obstacles to adapting
  this categorical perspective to analytic geometry\, where classical sheaf
 -theoretic and tensor-product operations are not well-behaved. We then sho
 w how the framework of condensed mathematics\, introduced by Clausen and S
 cholze\, can be used to categorically characterize geometric properties of
  (rigid) analytic spaces.\n\nhttps://indico.zdv.uni-mainz.de/event/266/
LOCATION:05-432 (Hilbertraum) (Mainz)
URL:https://indico.zdv.uni-mainz.de/event/266/
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