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SUMMARY:Nicholas Williams (Cambridge)
DTSTART:20241203T140000Z
DTEND:20241203T150000Z
DTSTAMP:20260421T154007Z
UID:UEAPS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/42/">S
 teenrod operations via higher Bruhat orders</a>\nby Nicholas Williams (Cam
 bridge) as part of ANTLR seminar\n\nLecture held in EFRY 01.08.\n\nAbstrac
 t\nThe cohomology of a topological space has a ring structure via the cup 
 product. The cup product is defined at the level of cochains\, where it is
  not commutative\, but it becomes commutative at the cohomology level. At 
 the cochain level\, the lack of commutativity is resolved homotopically by
  an infinite tower of higher products\, known as the Steenrod cup-i produc
 ts. This additional structure provides more refined information which can 
 be used to tell apart non-homotopy-equivalent spaces. Not assuming any bac
 kground from algebraic topology\, I will explain recent work with Guillaum
 e Laplante-Anfossi\, where we show how conceptual proofs of the key proper
 ties of Steenrod's cup-i products can be given using the higher Bruhat ord
 ers of Manin and Schechtman.\n
LOCATION:https://researchseminars.org/talk/UEAPS/42/
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