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SUMMARY:Alex Youcis (IMPAN)
DTSTART:20210513T160000Z
DTEND:20210513T172000Z
DTSTAMP:20260423T035726Z
UID:RAMpAGe/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/48/"
 >Geometric coverings of rigid spaces</a>\nby Alex Youcis (IMPAN) as part o
 f Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nFrom 
 Tate's uniformization of elliptic curves onwards\, the notion of 'covering
  space'\, and consequently the notion of fundamental groups\, has played a
  guiding role in the development of rigid geometry. A huge leap forward in
  our understanding of what exactly covering space/fundamental group might 
 mean in this context was carried out by de Jong in the mid 90s where he wa
 s able to form a fundamental group that encompassed both the topological c
 overings (e.g. those appear in Tate's uniformization) and finite etale cov
 erings. In our current work we propose an extension of those covering spac
 es considered by de Jong\, which not only provides a more conceptual frame
 work for talking about covering spaces as a whole\, but also is closed und
 er many of the natural geometric operations that de Jong's covering spaces
  are not (e.g. disjoint unions and etale localization). Along the way we a
 ddress some questions posed in de Jong's article\, as well as giving a con
 crete description of the locally constant sheaves in the pro-etale topolog
 y which appears in Scholze's work on p-adic Hodge theory.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/48/
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