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SUMMARY:Modules over Algebraic Cobordism
DTSTART:20191007T101500
DTEND:20191007T111500
DTSTAMP:20260407T043434Z
UID:6591579a75d506b898b2f1d153a572a5e5da47d132fe9ee0ad4426e0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maria Yakerson\, Universität Osnabrück\nWhen k is a field wi
 th resolution of singularities\, it is known that Voevodsky’s category o
 f motives DM(k) is equivalent to the category of modules over the motivic 
 cohomology spectrum HZ. This means that a structure of an HZ-module on a m
 otivic spectrum is equivalent to a structure of transfers in the sense of 
 Voevodsky. In this talk\, we will discuss an analogous result for modules 
 over the algebraic cobordism spectrum MGL. Concretely\, a structure of an 
 MGL-module is equivalent to a structure of coherent transfers along finite
  syntomic maps\, over arbitrary base scheme. Time permitting\, we will see
  a generalization of this result to modules over other motivic Thom spectr
 a\, such as the algebraic special linear cobordism spectrum MSL. This is j
 oint work with Elden Elmanto\, Marc Hoyois\, Adeel Khan and Vladimir Sosni
 lo.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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