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SUMMARY:Shane Kelly (Tokyo Institute of Technology)
DTSTART:20211202T040000Z
DTEND:20211202T053000Z
DTSTAMP:20260412T204001Z
UID:SAGO/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SAGO/14/">Bl
 owup formulas for nilpotent sensitive cohomology theories</a>\nby Shane Ke
 lly (Tokyo Institute of Technology) as part of Algebra Seminar (presented 
 by SMRI)\n\n\nAbstract\nThis is joint work in progress with Shuji Saito. M
 any cohomology theories of interest (l-adic cohomology\, de Rham cohomolog
 y\, motivic cohomology\, K-theory...) have long exact sequences associated
  to blowups. Such a property can be neatly encoded in a Grothendieck topol
 ogy such as the cdh-topology or the h-topology. These topologies appeared 
 in Voevodsky's proof of the Bloch-Kato conjecture\, and more recently in B
 eilinson's simple proof of Fontaine's CdR conjecture\, and in Bhatt and Sc
 holze's work on projectivity of the affine Grassmanian.\n\nA feature of th
 ese topologies which often turns out to be a bug is that the associated sh
 eaves cannot see nilpotents. In this talk I will discuss a modification wh
 ich can see nilpotents\, and which still has long exact sequences for many
  blowups.\n
LOCATION:https://researchseminars.org/talk/SAGO/14/
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