Thursday, November 26, 2015 4:00 pm
-
4:00 pm
EST
Fernando
Xuancheng
Shao,
University
of
Oxford
"Vinogradov's
theorem
in
twin
almost
primes"
An
old
theorem
of
Hardy-Littlewood
and
Vinogradov
says
that
all
large
odd
integers
can
be
written
as
a
sum
of
three
primes;
this
is
the
ternary
version
of
the
Goldbach
conjecture.
Recent
breakthroughs
by
Zhang
and
by
Maynard
show
that
there
are
infinitely
many
primes
with
a
close
neighboring
prime.
In
this
talk,
I
will
discuss
a
hybrid
version
of
these
two
results,
and
the
focus
will
be
on
the
underlying
ideas
coming
from
both
additive
combinatorics
and
sieve
theory.
This
is
joint
work
with
Kaisa
Matomaki.
MC 5501
Refreshments
will
be
served
in
MC
5501
at
3:30
pm.