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CALSCALE:GREGORIAN
X-WR-CALNAME:Algebra Seminar
X-WR-TIMEZONE:Central Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261006T180859Z
UID:tag:localist.com\,2008:EventInstance_52674989119193
DTSTART:20260430T203000Z
DTEND:20260430T212000Z
DESCRIPTION:Algebra Seminar\, Thursday\, 4/30/2026 at 3:30pm-4:20pm  (Speci
 al day and time)\n\nRoom: CW 122\n\nSpeaker: Daniel K. Nakano (University 
 of Georgia)\n\nTitle: Category O for Lie superalgebras\n\nAbstract: In thi
 s talk\, the speaker will define a general Category $\\mathcal{O}$ for any
  quasi-simple Lie superalgebra. Our construction encompasses (i) the parab
 olic Category ${\\mathcal O}$ for complex semisimple Lie algebras\, and (i
 i) the known constructions of Category ${\\mathcal O}$ for specific exampl
 es of classical Lie superalgebras. In particular\, the speaker will develo
 p a parabolic Category ${\\mathcal O}$ for classical Lie superalgebras.\n\
 nConnections between the categorical cohomology and the relative Lie super
 algebra cohomology will be firmly established. These results will be used 
 to show that the Category ${\\mathcal O}$ is standardly co-stratified. The
  definition of standardly co-stratified used in this context is generalize
 d from the original definition of Cline\, Parshall\, and Scott. An explici
 t description of the categorical cohomology ring will be given\, and finit
 e generation results will be presented.\n\nFurthermore\, it will be shown 
 that the complexity of modules in Category ${¥mathcal O}$ is finite with 
 an explicit upper bound given by the dimension of the subspace of the odd 
 degree elements in the given Lie superalgebra. This result provides a gene
 ralization of prior work for $\\mathfrak{gl}(m|n)$ due to Coulembier and S
 erganova.\n\nThis talk represents joint work with Chun-Ju Lai and Arik Wil
 bert.
LOCATION:Cardwell Hall\, 122
SUMMARY:Algebra Seminar
URL;VALUE=URI:https://events.k-state.edu/event/algebra-seminar-8392
CATEGORIES:Lecture\, Colloquia\, Seminar
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