Speaker:
Dr. Barry Smith
Institution:
UCI
Time:
Thursday, February 7, 2008 - 3:00pm
Location:
MSTB 254
I will introduce a recent conjecture of Hayes concerning the value at s=0 of the
equivariant Artin L-function associated with an Abelian extension K/k of number fields. It
proposes a relationship between certain unramified Kummer extensions of K and the
denominators of the coefficients of this L-function value. The conjecture can be viewed as a
new generalization of the classical analytic class number formula.