Last Updated：2022/12/24
The theory of formal groups has found a number of rather spectacular applications in recent years in number theory, arithmetical algebraic geometry, algebraic geometry, and algebraic topology, ranging from congruences for the coefficients of modular forms and local class field theory to extraordinary K-theories and (indirectly) results on the homotopy groups of spheres.
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The
theory
of
formal
groups
has
found
a
number
of
rather
spectacular
applications
in
recent
years
in
number
theory,
arithmetical
algebraic
geometry,
algebraic
geometry,
and
algebraic
topology,
ranging
from
congruences
for
the
coefficients
of
modular
forms
and
local
class
field
theory
to
extraordinary
K-theories
and
(indirectly)
results
on
the
homotopy
groups
of
spheres.
