For more information about this meeting, contact Robert Vaughan.
|Title:||Hyperdeterminants of polynomials|
|Seminar:||Algebra and Number Theory Seminar|
|Speaker:||Luke Oeding, U C Berkeley|
|Hyperdeterminants were brought into a modern light by Gelfand, Kapranov, and Zelevinsky in the 1990's. Inspired by their work, I will answer the question of what happens when you apply a hyperdeterminant to a polynomial (interpreted as a symmetric tensor).
The hyperdeterminant of a polynomial factors into several irreducible factors with multiplicities. I identify these factors along with their degrees and their multiplicities, which both have a nice combinatorial interpretation. The analogous decomposition for the mu-discriminant of polynomial is also found. The methods I use to solve this algebraic problem come from geometry of dual varieties, Segre-Veronese varieties, and Chow varieties; as well as representation theory of products of general linear groups.|
Room Reservation Information
|Date:||01 / 17 / 2013|
|Time:||11:15am - 12:05pm|