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An occurrence of noncrossing partitions in type B/C

Event Category:
Discrete Math Seminar
Speaker:
Eric Sommers
Institution:
UMass

There is a map from the noncrossing partitions NC(n) on the set [n] to subgroups of an elementary abelian group of rank n-1 over the field with two elements. The image of this map is surjective for n=1,2,3, but then fails to be surjective for larger n (missing two subgroups for n=4). We discuss an occurrence of this map for the algebraic groups of types B and C, as well as a conjectural (related) occurrence involving Springer fibers. This is joint work with George Lusztig.

Wednesday, April 10, 2024 - 10:30am
LGRT 1569