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SUMMARY:An effective Proof of the Cartan Formula
DTSTART:20200225T101500
DTEND:20200225T111500
DTSTAMP:20260506T231818Z
UID:b532d924bfdf47f21e3941ed98e16e04cf93087930bca0dffa57e4ca
CATEGORIES:Conferences - Seminars
DESCRIPTION:Anibal Maximiliano Medina-Mardones\, EPFL\nThe Cartan formula
  encodes the relationship between the cup product and the action of the St
 eenrod algebra in F_p-cohomology. In this work\, we present an effective p
 roof of the Cartan formula at the cochain level when the field is F_2. Mor
 e explicitly\, for an arbitrary pair of cocycles and any non-negative inte
 ger\, we construct a natural coboundary that descends to the associated in
 stance of the Cartan formula. Our construction of Cartan coboundaries work
 s for general algebras over the Barratt-Eccles operad\, in particular\, fo
 r the singular cochains of spaces\, a case that has been used in condensed
  mater physics and for which we have developed open source software.
LOCATION:CM 011 https://plan.epfl.ch/?room==CM%200%2011
STATUS:CONFIRMED
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