Tyrone Ghaswala, Pure Mathematics University of Waterloo
“Jacobians - The Spice of Life”
Given
a
genus
g
curve,
we
can
associate
an
abelian
variety
to
it
called
the
Jacobian
of
the
curve.
Using
the
Riemann
relations
established
last
week,
we
will
prove
these
Jacobians
are
indeed
abelian
varieties.
Time
permitting
I
will
go
into
more
depth
regarding
the
case
where
g
=
1.
The
word
Jacobian
also
occurs
in
vector
calculus.
Is
this
a
coincidence?
Rob
thinks
so.