Brandeis University Everyperson Seminar

Monday November 14, 2005, 4:00 PM

tea at 3:40 PM at the Math Department lounge (Goldsmith 300)

Speaker: Jennifer Johnson-Leung

Title: Think locally. Prove globally.

Abstract: The Riemann zeta function and its generalizations, known as L-functions, are constructed from local information at each prime number, and yet the special values of these functions encode global information. We will focus on the zeta functions and equivariant L-functions of number fields. Our tour will include the analytic class number formula, Stark's conjecture, and the equivariant Tamagawa number conjecture.

"...units maintain or recapture their identity, yet interplay with each other through a rich system of communications" (Rene Dubos)