Calder Daenzer, Penn State University
“T-duality and Picard stacks”
T-dualization
is
a
transform
of
geometric
spaces
which,
when
applied
to
appropriate
space-
time
models,
is
supposed
to
induce
an
equivalence
of
string
theories.
This
duality
plays
a
cen-
tral
role
in
modern
theoretical
physics,
but
is
also
very
interesting
within
pure
mathematics,
because
a
full
understanding
of
the
phenomena
involved
requires
the
use
of
orbifolds,
gerbes,
and
noncommutative
geometry,
and
furthermore,
T-duality
is
at
the
core
of
both
homological
mirror
symmetry
and
the
geometric
Langlands
correspondence.
I
will
give
a
broad
overview
of
T-duality,
and
then
describe
my
recent
work
in
which
T-dualization
is
realized
as
a
transform
of
Picard
stacks.