Tuesday, October 3, 2017 4:00 pm
-
4:00 pm
EDT (GMT -04:00)
Peter Sinclair, McMaster University
"Dp-finite fields"
The
relationship
between
logical
and
algebraic
properties
of
groups
and
fields
has
been
an
active
area
of
research
within
model
theory
for
over
40
years.
An
open
conjecture
(originally
due
to
Shelah)
is
that
every
NIP
field
is
either
separably
closed,
real
closed,
or
has
a
definable
henselian
valuation.
In
2013,
Johnson
showed
that
this
conjecture
holds
in
the
special
case
of
dp-minimal
fields.
I
will
present
my
current
work
on
dp-finite
fields,
a
larger
case
that
generalizes
Johnson's
work.
MC
5403