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SUMMARY:Topology Seminar: Towards the dual motivic Steenrod algebra in pos
 itive characteristic
DTSTART:20171017T101500
DTEND:20171017T111000
DTSTAMP:20260924T102649Z
UID:94e766fe5bd0b02e7ab7217404507d7461eff14043c1d0e0499d6664
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martin Frankland (Universität Osnabrück)\nSeveral tools from
  classical topology have useful analogues in motivic homotopy theory. Voev
 odsky computed the motivic Steenrod algebra and its dual over a base field
  of characteristic zero. Hoyois\, Kelly\, and Ostvaer generalized those re
 sults to a base field of characteristic $p$\, as long as the coefficients 
 are mod $\\ell$ with $\\ell \\neq p$. The case $\\ell = p$ remains conject
 ural.\n\nIn joint work with Markus Spitzweck\, we show that over a base fi
 eld of characteristic $p$\, the conjectured form of the mod $p$ dual motiv
 ic Steenrod algebra is a retract of the actual answer. I will sketch the p
 roof and possible applications. I will also explain how this problem is cl
 osely related to the Hopkins-Morel-Hoyois isomorphism\, a statement about 
 the algebraic cobordism spectrum MGL.
LOCATION:CM 0 12 https://plan.epfl.ch/?room=CM012
STATUS:CONFIRMED
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