Communication complexity studies the minimal amount of
information two parties need to exchange to compute a joint
function of their inputs. Results, especially lower bounds in this
basic model found applications in many other areas of
computer...
Feedback from a central supermassive black hole is an essential
component of galaxy evolution models. Without it, those models
cannot produce realistic massive galaxies and galaxy clusters.
However, the black-hole feedback mechanism remains...
One of the great mysteries in computational condensed matter
physics is the remarkable practical success of the Density Matrix
Renormalization Group (DMRG) algorithm, since its invention a
quarter century ago, for finding low energy states of 1D...
Take \(E/Q\) to be an elliptic curve with full rational 2-torsion
(satisfying some extra technical assumptions). In this talk, we
will show that 100% of the quadratic twists of \(E\) have rank less
than two, thus proving that the BSD conjecture...
