Seminar
Relations between discriminants and resultants, their generalizations and categorification.

Hold Date 
20141002 16:00～20141002 17:00 


Place 
Lecture Room L3, Faculty of Mathematics building, Ito Campus 


Object person 



Speaker 
Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Univserse) 

Date: Thursday, October 2, 2014
15:40〜16:00 (teatime in the lounge)
16:00〜17:00 (lectures in Lecture Room L3)
Speaker:Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Univserse)
Title:Relations between discriminants and resultants, their generalizations and categorification.
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.
*This seminar collaborates with Algebra Seminar.