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Counting tricks with symmetric functions February 13, 2012 (04:10 PM PST - 05:00 PM PST)
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Location: UC Berkeley, 60 Evans Hall
Speaker(s) Greta Panova (University of Southern California)
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Symmetric functions and Young tableaux arose from the representation theory of the symmetric and general linear groups, but found their central place in algebraic combinatorics and also ventured to other fields like algebraic geometry and statistical mechanics.
In this talk we will review some of their combinatorial properties and then we will employ their power and various tricks to solve a counting problem: we will find a product formula for the number of standard Young tableaux of unusual, truncated shapes and we will pass through truncated plane partitions.

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