In spin systems, the existence of a spectral gap has far-reaching
consequences. So-called "frustration-free" spin systems form a
subclass that is special enough to make the spectral gap problem
amenable and, at the same time, broad enough to include...
With the discovery of a binary neutron star coalescence in
gravitational waves, and the discovery of an associated short
gamma-ray burst, and the discovery of an associated optical
afterglow, we have finally entered the era of
gravitational-wave...
We consider the coherent cohomology of toroidal compactifications
of Shimura varieties with coefficients in the canonical extensions
of automorphic vector bundles and show that they can be computed as
relative Lie algebra cohomology of automorphic...
