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SUMMARY:Maxim Mornev
DTSTART:20200622T160000Z
DTEND:20200622T170000Z
DTSTAMP:20260423T021306Z
UID:UNYONTC/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/2/">
 Tate conjectures in function field arithmetic</a>\nby Maxim Mornev as part
  of Upstate New York Online Number Theory Colloquium\n\n\nAbstract\nMany v
 ersions of Tate conjectures were proved for Drinfeld modules and\nfor thei
 r higher-dimensional generalizations\, the t-modules of Anderson.\nThe und
 erpinning of this success is a technically simple but powerful\ntheory of 
 t-motives pioneered by Anderson. In this talk I shall describe\nan approac
 h to Tate conjectures for t-modules which implies all the\nknown versions 
 and explains why some variants of the conjectures fail.\nThe approach comb
 ines the theory of t-motives with the t-adic\ncounterpart of the theory of
  overconvergent F-isocrystals.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/2/
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