The Selberg integral
by Professor Ole Warnaar
Abstract: In the 1940's Atle Selberg discovered an n-dimensional generalisation of the
Euler beta integral. At the time, Selberg was almost dismissive of his
result and only reluctantly published a proof in a Norwegean mathematical
magazine, mainly read by high school teachers.
Now, more than 60 years later, the Selberg integral is widely recognised
as one of the most important known integral evaluations, with applications
to geometry, representation theory, combinatorics, number theory and more.
This talk will cover the very early history of the Selberg integral
(starting with Wallis and Euler), Selberg's work of the 1940s, the amazing
story of the rediscovery of the integral by Dyson, Mehta and Bombieri, as
well as some very recent developments related to representation theory.
For More Information: Contact: Paul A. Pearce P.Pearce@ms.unimelb.edu.au