Abstract:
The classical resultant $R(f,g)$ of two polynomials $f,g$ in one variable has many analogs in other areas of mathematics: the integral of product of first Chern classes, Legendre symbols, linking numbers and others. On the other hand, the classical discriminant $D(f)$ of a polynomial $f$ satisfies the "coboundary" condition $R(f,g)^2 = D(fg)/(D(f) D(g))$. The talk will explain known and conjectural analogs of the discriminant and of the coboundary condition in other contexts where the analogs of the resultant make sense.
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IMI(Institute of Mathematics for Industry)
Seminar
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Today and tomorrow's seminars(1) |
Relations between discriminants and resultants, their generalizations and categorification.
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Hold Date | 2014-10-02 16:00～2014-10-02 17:00 |
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Place | Lecture Room L-3, Faculty of Mathematics building, Ito Campus |
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Speaker | Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Univserse) |
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