Wednesday, February 8, 2017 3:30 pm
-
3:30 pm
EST (GMT -05:00)
Jason Bell, Department of Pure Mathematics, University of Waterloo
"Towards an effective Mordell-Lang theorem in positive characteristic"
Let
G
be
an
algebraic
group
defined
over
a
field
K
of
positive
characteristic
and
let
A
be
a
finitely
generated
abelian
subgroup
of
G
and
let
X
be
a
Zariski
closed
subset
of
G.
We'll
explore
the
problem
of
whether
one
can
concretely
and
effectively
describe
the
intersection
of
G
with
A
in
terms
of
data
from
G,
X,
and
A.
In
particular,
we'll
look
at
the
variant
of
Skolem's
problem
of
giving
an
algorithm
for
determining
whether
A
intersects
X
non-trivially.
MC 5403