Wednesday, January 17, 2018 2:00 pm
-
2:00 pm
EST (GMT -05:00)
Julia Brandes, Department of Pure Mathematics, University of Waterloo
"Diophantine equations and the Hardy-Littlewood circle method"
I
will
give
an
easy
introduction
to
the
theory
of
diophantine
equations
in
many
variables.
After
presenting
a
few
heuristic
arguments
illustrating
some
of
the
basic
expectations,
we
will
see
how
Fourier-analytic
methods
can
be
applied
to
count
the
number
of
solutions
to
diophantine
equations.
Time
permitting,
we
will
finish
by
exhibiting
the
connection
between
diophantine
equations
such
as
Waring's
problem
on
the
one
hand
and
mean
value
estimates
for
exponential
sums
on
the
other
hand.
The
talk
will
be
accessible
and
very
expository
-- if
you
know
what
an
integer
is
you're
good
to
go!
MC 5403