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SUMMARY:Dmitry Talalaev
DTSTART:20221130T162000Z
DTEND:20221130T180000Z
DTSTAMP:20260423T010249Z
UID:GDEq/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/74/">Za
 molodchikov Tetrahedron equation</a>\nby Dmitry Talalaev as part of Geomet
 ry of differential equations seminar\n\nLecture held in room 303 of the In
 dependent University of Moscow.\n\nAbstract\nThe main subject of the talk 
 is the Zamolodchikov tetrahedron equation\, which is the next n-simplex eq
 uation after the Yang-Baxter equation. This equation finds its embodiments
  in the theory of cluster manifolds\, exactly-solvable models of statistic
 al physics in dimension 3\, as well as the theory of invariants of 2-knots
 \, that is\, classes of isotopies of embeddings of a two-dimensional surfa
 ce in a 4-dimensional space.\n\nThe main focus of the report will be on th
 e definition of this class of equations in terms of the hypercube face col
 oring problem\, the cohomology complex associated with each solution of th
 e n-simplex equation. We will discuss how these definitions are realized i
 n the case of n=3\, that is\, in the case of the tetrahedron equation\, an
 d some interesting classes of solutions to this equation arising in modern
  mathematics.\n
LOCATION:https://researchseminars.org/talk/GDEq/74/
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