Colloquium
3:00 p.m., Tuesday (September 5, 2006)
WMAX 110 (PIMS)
Stephen Gelbart
Weizmann Institute of Science
Prime numbers, Riemann, and Langlands
Prime numbers have held a mystery over number theory
since before Euclid. To introduce a powerful new tool to the
subject, Riemann defined his analytic zeta function; with it, he
described the Prime Number Theorem and conjectured "Riemann's
Hypothesis". More than 100 years after 1859, R.P. Langlands
generalized Riemann's function and  among other things  explained
how "every" zeta function in number theory (whether due to Artin,
or to an elliptic curve, or whatever) might be one of his generalized
functions. In this short talk, we shall summarize briefly the
contents of prime numbers, Riemann, and Langlands.
Refreshments will be served at 2:45 p.m. in the 1st floor PIMS Lounge.
