比利时vs摩洛哥足彩
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university of california san diego
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math 196 - student colloquium
brendon rhoades
ucsd, 比利时vs摩洛哥足彩
shoving boxes into corners
abstract:
if $n$ is a nonnegative integer, a partition of $n$ is a sequence of weakly decreasing positive integers which sum to $n$. partitions arise in the study of the symmetric group of permutations of the set $\{1, 2, \ldots, n\}$, the geometry of the grassmannian of $k$-dimensional subspaces of an $n$-dimensional vector space, and in numerous combinatorial areas such as finite field theory. i will show how a visualization of partitions obtained by shoving boxes into a corner can be used to define a polynomial refinement of the binomial coefficients called the gaussian polynomials and will discuss various properties of this polynomial refinement (and present at least one open problem).
october 8, 2013
12:00 pm
ap&m b402a
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