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UID:319@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20241204T143000

DTEND;TZID=Asia/Jerusalem:20241204T152000

DTSTAMP:20250109T093840Z

URL:https://math.technion.ac.il/events/shaul-zemel/

SUMMARY:Shaul Zemel (HUJI) -- Polynomial Expressions for the Dimensions of 
 the Representations of Symmetric Groups and Restricted Standard Young Tabl
 eaux
DESCRIPTION:Lecturer:Shaul Zemel\n Location:814 Amado\n Given a partition 
 λ of a number k\, it is known that by adding a long line of length n-k\, 
 the dimension of the associated representation of Sn is an integer-valued 
 polynomial of degree k in n. We show that its expansion in the binomial ba
 sis is bounded by the length of λ\, and that the resulting coefficient of
  index h\, with alternating signs\, counts the standard Young tableaux of 
 shape λ in which a given collection of consecutive h numbers lie in incre
 asing rows. We also construct bijections in order to demonstrate explicitl
 y that this number is indeed independent of the set of consecutive h numbe
 rs used. This is joint work with Avichai Cohen.\n 
CATEGORIES:Combinatorics Seminar,Seminars
LOCATION:814 Amado

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