Around 1992, Aldous made the following bold conjecture. Let A be
any set of transpositions in the symmetric group Sym(N). Then the
spectral gap of the Cayley graph Cay(Sym(N),A) is identical to that
of a relatively tiny N-vertex graph defined by A...
Surveys of the mm-wave sky are great resources for astrophysics
and cosmology. Sources that have been studied include solar system
objects, flaring stars, accreting black holes, dusty star forming
galaxies, and galaxy clusters, while cosmological...
Motivated by the instances of Grothendieck’s generalized Hodge
conjecture which have a purely algebraic expression, we study the
restriction map in cohomology from a smooth projective variety
X
to an affine U. Starting from X being defined over an...
