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Events tagged with Current undergraduate students

Thursday, December 3, 2020 — 1:00 PM EST

Title: Twisted Hopf algebras

Speaker: Loïc Foissy
Affiliation: Université du Côte d'Opale
Zoom: Contact Karen Yeats

Abstract:

A twisted Hopf algebra is a Hopf algebra in the category of linear species. The Fock functors allow to recover "classical" Hopf algebras from twisted ones. Numerous constructions and results can be lifted to the level of twisted bialgebras, such that cofreeness, shuffle and quasi-shuffles products, etc.

Friday, December 4, 2020 — 3:30 PM EST

Title: Partial orders on the symmetric group

Speaker: Oliver Pechenik
Affiliation: University of Waterloo
Zoom: Please email Emma Watson

Abstract:

The symmetric group of permutations is naturally a poset in at least 4 different ways, the (strong) Bruhat order and three flavors of weak order. Stanley showed in 1980 that the Bruhat order is Sperner, essentially meaning that the obvious large antichains are in fact the largest possible. The corresponding fact for weak orders was open until last year, when it was established by Gaetz and Gao.

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