The landscape of L-functions
Presenter
July 10, 2023
Abstract
L-functions of degree d can be parametrized, in two different
ways, by points with an attached multiplicity in d-1 dimensional
Euclidean space. One approach separates the L-functions according
to the shape of the Gamma-factors in the functional equation,
equivalently, according to the infinity type of the underlying
automorphic representation. The other approach combines all the
L-functions of a given degree into a single picture in which the
points, to leading order, are uniformly dense. We will
describe these classifications and provide examples of several
""landscapes"" in the L-function world.