In 2005 Ma, Trudinger and Wang introduced a fourth-order
differential condition which comes close to be necessary and
sufficient for the smoothness of solutions to optimal transport
problems with a given cost function. If the cost function is
the...
Given a cuspidal automorphic representation of GL(n) which is
regular algebraic and conjugate self-dual, one can associate to it
a Galois representation. This Galois representation is known in
most cases to be compatible with local Langlands...
Picard moduli spaces parametrize principally polarized abelian
varieties with complex multiplication by the ring of integers in an
imaginary-quadratic field. The loci where the abelian varieties
split off an elliptic curve in a controlled way are...
