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SUMMARY:Zhengfang Wang (University of Stuttgart\, Germany)
DTSTART:20221208T120000Z
DTEND:20221208T130000Z
DTSTAMP:20260423T024802Z
UID:LAGOON/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/85/">
 A-infinity deformations of extended Khovanov arc algebras and Stroppel's c
 onjecture</a>\nby Zhengfang Wang (University of Stuttgart\, Germany) as pa
 rt of Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\n
 Abstract\nExtended Khovanov arc algebras K_m^n are introduced by Stroppel 
 when studying parabolic category O. They naturally appear in different sub
 jects (including representation theory and symplectic geometry) and have m
 any nice algebraic properties\, for example they are Koszul and quasi-here
 ditary. In this talk\, we will first give the diagrammatic description of 
 K_m^n due to Brundan-Stroppel. Then\, by writing K_m^n as the path algebra
  of a quiver with relations\, we show that the Koszul dual of K_m^n admits
  a natural reduction system satisfying diamond condition\, by relating the
  number of the associated "irreducible paths" to the Kazhdan-Lusztig polyn
 omials. We also explain how to apply this reduction system to study Stropp
 el's conjecture. As a result\, we show that K_m^n is not intrinsically for
 mal for m\, n>1. This is joint work with S. Barmeier.\n\nMeeting Link\n\nh
 ttps://uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz0
 9\n\nMeeting ID: 918 7552 8987\nPassword: LAGOON2022\n
LOCATION:https://researchseminars.org/talk/LAGOON/85/
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