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Bounds on Kronecker and Littlewood-Richardson coefficients
18 Feb
18. Februar 2020
Oberseminar zur Algebra und Algebraischen Kombinatorik

Bounds on Kronecker and Littlewood-Richardson coefficients

The Kronecker coefficients of the symmetric group are the fundamental structure constants in the expansion of tensor products of irreducible symmetric group representations into irreducibles. Ever since their introduction by Murnaghan 80 years ago, they have puzzled algebraists and combinatorialists as very little about their nature is still known. Notably, we don't have any positive formula for them, in other words we don't yet know whether they are even #P-complete to compute.

In this talk we will discuss how to use various symmetric function identities and other combinatorial relationships to extract information about their size, especially upper bounds in various asymptotic regimes. We will also discuss bounds on their simpler GL analogues, the Littlewood-Richardson coefficients. This is based on joint works with Igor Pak and Damir Yeliussizov.

Referent/Referentin

Prof. Dr. Greta Panova (University of Southern California)

Veranstalter

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Termin

18. Februar 2020
10:30 Uhr - 12:00 Uhr

Kontakt

Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de

Ort

Hauptgebäude
Geb.: 1101
Raum: a410
Welfengarten 1
30167 Hannover
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