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SUMMARY:Etale motivic cohomology of some Fano fivefolds.
DTSTART:20260507T120000Z
DTEND:20260507T130000Z
DTSTAMP:20260522T164200Z
UID:indico-event-16538@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ivan Rosas-Soto\n\nIn this talk\, I will review the 
 Chow and étale motivic cohomology groups of smooth\, complete intersectio
 ns with Hodge structures of level one\, as classified by Deligne and Rapop
 ort. I will pay particular attention to fivefolds and explain how the comp
 arison map between Chow and étale motivic cohomology interacts with the b
 irational properties of such varieties. I will show how these results can 
 be extended to algebraic cycles on other smooth Fano manifolds with Hodge 
 structures of level one. Finally\, I will present some preliminary results
  regarding the comparison map for certain Fano manifolds of Calabi–Yau t
 ype\, focusing particularly on double quartic fivefolds. I will pay specia
 l attention to their unramified cohomology groups with torsion coefficient
 s and the integral Hodge conjecture. These results are based on ongoing wo
 rk with Pedro Montero. \n\nhttps://indico.math.cnrs.fr/event/16538/
LOCATION:M7-411 (UMPA)
URL:https://indico.math.cnrs.fr/event/16538/
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