Bard Mathematics and Computer Science Events

Abstract: This is part 2 of my talk from the fall. We will review the inverse Galois problem and discuss some recent results concerning the Jacobi polynomials. Our methods include a mixture of algebraic geometry and group theory.

The Jacobi Polynomials are a two-parameter family of orthogonal polynomials that have many number-theoretic applications. For example, they contain as special cases the Chebyshev, Gegenbauer, and Legendre polynomials, the irreducibility properties of which are not fully known. More recently, Jacobi polynomials have proven to be intimately connected with the arithmetic of elliptic curves.

This is joint work with Farshid Hajir (University of Massachusetts) and Elizabeth Sell (University of North Carolina).

	Inverse Galois Theory and Arithmetic Geometry II John Cullinan Bard College Tuesday, April 17, 2007 4:15 pm, Albee 106
Abstract: This is part 2 of my talk from the fall. We will review the inverse Galois problem and discuss some recent results concerning the Jacobi polynomials. Our methods include a mixture of algebraic geometry and group theory. The Jacobi Polynomials are a two-parameter family of orthogonal polynomials that have many number-theoretic applications. For example, they contain as special cases the Chebyshev, Gegenbauer, and Legendre polynomials, the irreducibility properties of which are not fully known. More recently, Jacobi polynomials have proven to be intimately connected with the arithmetic of elliptic curves. This is joint work with Farshid Hajir (University of Massachusetts) and Elizabeth Sell (University of North Carolina).

Bard College Mathematics and Computer Science Events