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SUMMARY:Syntomification of rigid-analytic varieties over $\\mathbb{Q}_p$ [
 Arithmetic Geometry and Representation Theory Research Seminar]
DTSTART:20260428T130500Z
DTEND:20260428T150000Z
DTSTAMP:20260420T222400Z
UID:indico-event-1249@math-events.uni-bonn.de
DESCRIPTION:Speakers: Maximilian Hauck (MPIM)\n\nI will describe a stacky 
 approach to syntomic cohomology of rigid spaces over $\\mathbb{Q}_p$\, whi
 ch is an analytic analogue of the syntomification of a $p$-adic formal sch
 eme of Drinfeld and Bhatt--Lurie. This yields a notion of syntomic cohomol
 ogy of rigid spaces with coefficients which satisfies Poincaré duality\, 
 affords a theory of Chern classes and compares both to Hyodo--Kato and pro
 étale cohomology.\n     In the first part of the talk\, I will explain
  what syntomic cohomology is\, why one should care about a stacky approach
  and what the syntomification looks like geometrically. In the second part
 \, I will show how one can use this geometric point of view to obtain coho
 mological comparison theorems.\n\nhttps://math-events.uni-bonn.de/event/12
 49/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1249/
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