Date & Time: Wednesday, February 27, 2013, 16:00-17:00.

Venue:Ramanujan Hall

Title:Irreducibility of generalized Hermite-Laguerre Polynomials

Speaker: Prof. Shanta Laishram,ISI Delhi

Abstract: Schur's irreducibility result of 1929 has been generalized by many authors using p-adic Newton Polygon methods of Coleman and Filaseta. In this talk, I will give a survey of some earlier results and state a number of results on the irreducibility of family of generalised Hermite-Laguerre polynomials. The study of the irreducibility of such polynomials are of significant importance for the inverse Galois problem.