2:00 pm Tuesday, September 18, 2007
Junior Number Theory: The Wronskian Map by Mark Rothlisberger (UT Austin) in RLM 9.166
Given a field k and a collection of polynomials in k[x] that span a subspace S of k[x], the Wronskian of those polynomials is defined to be the determinant of a matrix formed from the polynomials and their derivatives. Given a different collection of polynomials that also span S, the Wronskian will be the same up to a multiplicative constant, which suggests that we should consider the Wronskian as a map from subspaces to a projective space. In this talk I will introduce the Grassmann coordinates that index subspaces, and outline a construction of the Wronskian from the Grassmann coordinates that requires no differentiation. Submitted by
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