Wednesday, March 8, 2023 1:00 pm
-
1:00 pm
EST (GMT -05:00)
Jenny Xu, Department of Pure Mathematics, University of Waterloo
"An Invitation to Model-Theoretic Galois Theory (Part II)"
In
Alice
Medvedev
and
Ramin
Takloo-Bighash’s
paper
”An
Invitation
to
Model-Theoretic
Galois
Theory”,
the
Galois
correspondence
is
revisited
in
the
context
of
an
arbitrary
first-order
theory
T.
The
ambient
field
will
instead
be
a
κ-saturated
model
of
T,
which
we
call
M,
and
the
subfields
will
be
the
definably-closed
subsets
of
M.
We
will
discuss
the
definitions
and
results
analogous
to
the
usual
field-theoretic
ones
in
this
model-theoretic
setting.
MC 5417