Tuesday, June 10, 2014 4:00 pm
-
4:00 pm
EDT
Yitang (Tom) Zhang, University of New Hampshire
"Small gaps between primes and primes in arithmetic progressions"
A
major
ingredient
of
the
proof
is
a
stronger
version
of
the
Bombieri-Vinogradov
theorem
which
asserts
that
the
primes
are
well
distributed
in
arithmetic
progressions
to
large
moduli.
This
result
is
of
independent
interest
and
it
relies
on
the
Riemann
Hypothesis
for
varieties
over
finite
fields.