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SUMMARY:Shtuka cohomology and special values of Goss L-functions (2)
DTSTART;VALUE=DATE-TIME:20190920T080000Z
DTEND;VALUE=DATE-TIME:20190920T101500Z
DTSTAMP;VALUE=DATE-TIME:20200711T104219Z
UID:indico-event-5062@indico.math.cnrs.fr
DESCRIPTION:Shtuka models of Drinfeld modules and their cohomology.\n\n \
n\nAbstract. \n\nTaelman discovered an analog of BSD conjecture for Drinf
eld modules and\nproved it for the coefficient ring F_q[t]. His methods do
not generalize\neasily to more complicated rings. A different approach to
Taelman's BSD\nconjecture is provided by the theory of shtuka cohomology.
This approach\nallows one to treat all the coefficient rings in a uniform
way. It leads\nto a rather conceptual proof of the conjecture which reson
ates well with\nequivariant Tamagawa number conjecture for motives.\n\nMy
aim is to explain the shtuka-theoretic proof of Taelman's analog\nof the B
SD conjecture. The course can be naturally divided into three\nparts:\n\n1
. Statement of the conjecture\, overview of the proof and introduction to
shtuka cohomology.\n2. Shtuka models of Drinfeld modules and their cohomol
ogy.\n3. Regulator theory and trace formula for elliptic shtukas.\n\n \n\
nhttps://indico.math.cnrs.fr/event/5062/
LOCATION:ICJ\, Université Lyon 1 Bât. Braconnier\, salle séminaire 2
URL:https://indico.math.cnrs.fr/event/5062/
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