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X-FROM-URL:https://eom.sdu.dk/events/ical/62264db7-2087-499a-83fb-7306352f
 990e
X-WR-CALNAME:QM Research Seminar: Higher Yang—Baxter equations via Steenro
 d squares
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260513T130645Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Guillaume Laplante-Anfossi[/b] (University of Melb
 ourne) [nl]\n[b]Abstract:[/b][nl]\nOn the one hand\, simplex equations ar
 e higher dimensional generalizations of the Yang—Baxter (aka triangle) eq
 uation.  The tetrahedron equation was introduced by Zamolodchikov in 1980
 \, and the equations for higher dimensional simplices can be defined via 
 higher Bruhat orders\, a family of posets introduced by Manin and Schecht
 man in 1989. On the other hand\, Steenrod squares are operations acting o
 n the mod 2 cohomology of a topological space\, introduced by Steenrod in
  1947. They arise from correcting homotopically the lack of cocommutativi
 ty of the Alexander—Whitney diagonal at the cochain level. Together with 
 Nicholas Williams\, we found a surprising bijection between the terms of 
 these two constructions: each side of a higher Yang—Baxter equation defin
 es a Steenrod cup-i coproduct\, and vice-versa. A conceptual explanation 
 for\, as well as consequences of this result remain unknown to us\, and I
  hope to stimulate discussions about what could grow out of this new dict
 ionary between pieces of mathematical physics and classical algebraic top
 ology. \n[nl]
DTEND:20230522T120000Z
DTSTAMP:20260513T130645Z
DTSTART:20230522T110000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
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SUMMARY:QM Research Seminar: Higher Yang—Baxter equations via Steenrod squ
 ares
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