For more information about this meeting, contact Robert Vaughan.
| Title: | Hyperdeterminants of polynomials |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Luke Oeding, U C Berkeley |
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| Abstract: |
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| 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
| Room Number: | MB106 |
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| Date: | 01 / 17 / 2013 |
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| Time: | 11:15am - 12:05pm |
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