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SUMMARY:Mikhail Khovanov (Johns Hopkins University)
DTSTART:20250805T040000Z
DTEND:20250805T050000Z
DTSTAMP:20260423T021228Z
UID:OISTRTS/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/74/"
 >The Delannoy category and its diagrammatics</a>\nby Mikhail Khovanov (Joh
 ns Hopkins University) as part of OIST representation theory seminar\n\n\n
 Abstract\nN.Harman and A.Snowden discovered a semisimple monoidal pivotal 
 category\, called the Delannoy category\, where composition of morphisms i
 s given by computing the compact Euler characteristic of subspaces of the 
 Euclidean space described by inequalities on the coordinates. In the talk 
 we will explain a diagrammatic description of their category\, following a
  joint work with N.Snyder. The number of simple objects in the Delannoy ca
 tegory grows exponentially\, but a suitable monoidal subcategory has the G
 rothendieck ring isomorphic to the ring of integer-valued one-variable pol
 ynomials. This subcategory can be viewed as a categorification of the latt
 er ring.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/74/
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