Thursday, March 13, 2014 1:30 pm
-
1:30 pm
EDT (GMT -04:00)
Hector Pasten, Queen’s University
“Modular forms, ABC and effective unit equation”
In
this
talk
I
will
give
a
brief
overview
of
a
known
approach
to
the
ABC
conjecture
using
modular
forms.
Then
I
will
explain
how
this
approach
actually
gives
a
partial
result
for
the
ABC
conjecture
and
Szpiro’s
conjecture.
As
a
consequence,
we
will
obtain
a
new
effective
proof
of
the
finiteness
of
solutions
to
the
S-unit
equation,
which
does
not
involve
linear
forms
in
logarithms.
This
is
joint
work
with
Ram
Murty.