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SUMMARY:Quentin Gazda (Université Claude Bernard Lyon 1)
DTSTART:20210520T123000Z
DTEND:20210520T133000Z
DTSTAMP:20260423T005710Z
UID:RSVP/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RSVP/8/">Fir
 st Beilinson’s conjecture in function fields arithmetic</a>\nby Quentin 
 Gazda (Université Claude Bernard Lyon 1) as part of Rendez-vous on specia
 l values and periods\n\n\nAbstract\nIn the mid 80’s\, Beilinson formulat
 ed deep conjectures relating special values of $L$-functions to pieces of 
 $K$-theory\, superseding at once the BSD conjecture and Deligne’s conjec
 ture. Beilinson's conjectures are fully expressed in the framework of mixe
 d motives\, which remains hypothetical. \n\nThis talk will be devoted to p
 ortray the analogous picture in the function fields setting\, using so-cal
 led Goss $L$-values instead of classical $L$-values\, and mixed (uniformiz
 able) Anderson $A$-motives instead of Grothendieck's mixed motives. After 
 a recall of the classical conjectures\, we shall discuss and define the an
 alogue of motivic cohomology and regulators for function fields\, and expr
 ess the counterpart of Beilinson’s conjectures.\n
LOCATION:https://researchseminars.org/talk/RSVP/8/
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