Date & Time: Wednesday, January 14, 2009, 16:00-17:00.
Venue: Ramanujan Hall
Title: Integer-valued Polynomials and p-adic Analysis
Speaker: Manjul Bhargava, Princeton University
Abstract: We take a new look at the factorial function (!), and introduce some generalizations that have turned out to be very useful in a number of number-theoretic, ring-theoretic, and combinatorial problems. In particular, we will discuss some recent applications of these generalized "factorial functions" to the study of integer-valued polynomials and to p-adic analysis.