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SUMMARY:Elden Elmanto (Harvard)
DTSTART:20210813T190000Z
DTEND:20210813T200000Z
DTSTAMP:20260407T215019Z
UID:agstanford/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/5
 7/">The completely decomposed arc topology and motivic applications</a>\nb
 y Elden Elmanto (Harvard) as part of Stanford algebraic geometry seminar\n
 \n\nAbstract\nI will introduce a Grothendieck topology\, the cdarc topolog
 y\, discovered in joint work with Marc Hoyois\, Ryomei Iwasa and Shane Kel
 ly which is a completely decomposed counterpart to Bhatt and Mathew's arc 
 topology. It is a non-noetherian analog of Suslin-Voevodsky's cdh topology
  and is thus useful in the study of K-theory and algebraic cycles. I will 
 focus on two applications to algebraic cycles and K-theory:\n\n1) an excis
 ion result for algebraic cycles (joint with Hoyois\, Iwasa and Kelly) and\
 n\n2) a motivic refinement of the equivalence $L_{cdh}K = KH$ (joint with 
 Tom Bachmann and Matthew Morrow).\n\nThe synchronous discussion for Elden 
 Elmanto’s talk is taking place not in zoom-chat\, but at https://tinyurl
 .com/2021-08-13-ee (and will be deleted after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/57/
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