AGC talk

Beamer slides: Apolarity, steampunk canonical forms and the obvious inner product--April remix

First presentation based on

  • Preprint Blenders, to appear in Notions of Positivity and the Geometry of Polynomials (P. Branden, M. Passare, M. Putinar, editors), Trends in Math., Birkhäuser, Basel, http://arxiv.org/pdf/1008.4533.
  • Second presentation

  • Beamer slides: Apolarity, steampunk canonical forms and the obvious inner product
  • Relevant Papers (in chronological order)

  • Preprint Sums of even powers of real linear forms, chapter by chapter., Mem. Amer. Math. Soc., Volume 96, Number 463, March, 1992 (MR 93h.11043).

  • Reprint An inequality for products of polynomials, Proc. Amer. Math. Soc., 117 (1993), 1063-1073, (MR 93e.11058).

  • Reprint Homogeneous polynomial solutions to constant coefficient PDE's over fields, Adv. Math., 117 (1996), 179-192 (MR 97a:12006).

  • Preprint Some concrete aspects of Hilbert's 17th problem, Seminaire de Structures Algébriques Ordonnées, (F. Delon, M.A. Dickmann, D. Gondard eds), Publ. Équipe de Logique, Univ. Paris VII, Jan. 1996; revised version in Real Algebraic Geometry and Ordered Structures, (C. N. Delzell, J.J. Madden eds.) Cont. Math., 253 (2000), 251-272 (MR 2001i:11042).

  • Preprint Patterns of dependence among powers of polynomials, Algorithmic and Quantitative Real Algebraic Geometry (S. Basu, L. Gonzalez-Vega, eds.), DIMACS Ser. in Discrete Mathematics and Theoretical Computer Science, 60 (2003), 101-121 (MR 2004e:11036, ArXiv -- math.AG/0106060).

  • Preprint Laws of inertia in higher degree binary forms, Proc. of the AMS, 138 (2010), 815-826, http://arxiv.org/pdf/0906.5559.pdf, MR26566547.

  • Preprint On the length of binary forms, http://arxiv.org/pdf/1007.5485.pdf

  • Other material

  • J. H. Grace's obituary for Edward Kingsley Wakeford