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Events tagged with Seminar

Thursday, April 15, 2021 — 1:00 PM EDT

Title: Algebraic structure of the Hopf algebra of double posets

Speaker: Yannic Vargas
Affiliation: Potsdam University
Zoom: Contact Karen Yeats

Abstract:

A Hopf algebra of double posets was introduced by Claudia Malvenuto and Christophe Reutenauer in 2011, motivated by the study of pictures of tableaux as defined by Zelevinsky. Starting from the correspondence between top-cones in the braid arrangement and partial orders, we investigate several properties of the Hopf algebra of double posets as the image of a Hopf monoid (via the Fock functor). In particular, we obtain a non-cancellative formula for the antipode. A description of the primitive space is also discussed.

Friday, April 16, 2021 — 3:30 PM EDT

Title: A proof of the Erdős–Faber–Lovász conjecture

Speaker: Tom Kelly
Affliliation: University of Birmingham
Zoom: Contact Emma Watson

Abstract:

The Erdős–Faber–Lovász conjecture (posed in 1972) states that the chromatic index of any linear hypergraph on $n$ vertices is at most $n$.  We prove this conjecture for every sufficiently large $n$.  This is joint work with Dong Yeap Kang, Daniela Kühn, Abhishek Methuku, and Deryk Osthus.

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