We give a survey of recent results on conjectures of Heath-Brown
and Serre on the asymptotic density of rational points of bounded
height. The main tool in the proofs is a new global determinant
method inspired...
GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS
SEMINAR
We shall recall the spectral terms from the trace formula for G
and its stabilaization, as well as corresponding terms from the
twisted trace formula for GL(N). We shall then discuss aspects
of...
GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS
SEMINAR
Suppose that G is a connected, quasisplit, orthogonal or
symplectic group over a field F of characteristic 0. We shall
describe a classification of the irreducible representations of
G(F) if F is...
Decompositions in theorems in classical Fourier analysis which
decompose a function into large Fourier coefficients and a part
that is pseudorandom
with respect to (has small correlation with) linear functions. The
Goldreich-Levin theorem [GL89]...
