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SUMMARY:Nick Williams (University of Cambridge\, UK)
DTSTART:20250528T120000Z
DTEND:20250528T130000Z
DTSTAMP:20260423T024831Z
UID:LAGOON/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/104/"
 >Steenrod operations via higher Bruhat orders</a>\nby Nick Williams (Unive
 rsity of Cambridge\, UK) as part of Longitudinal Algebra and Geometry Open
  ONline Seminar (LAGOON)\n\n\nAbstract\nThe cohomology of a topological sp
 ace has a ring structure via the cup product. The cup product is defined a
 t the level of cochains\, where it is not commutative\, but it becomes com
 mutative at the cohomology level. At the cochain level\, the lack of commu
 tativity is resolved homotopically by an infinite tower of higher products
 \, known as the Steenrod cup-i products. This additional structure provide
 s more refined information which can be used to tell apart non-homotopy-eq
 uivalent spaces. In this talk\, I will explain recent work with Guillaume 
 Laplante-Anfossi\, where we show how conceptual proofs of the key properti
 es of Steenrod's cup-i products can be given using the higher Bruhat order
 s of Manin and Schechtman.\n\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=
 US8wdjNrWjl5dXNQSVRzREhoRE1PUT09\n\nMeeting ID: 918 7552 8987\nPassword: L
 AGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/104/
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