I'll explain joint work in progress with Abbondandolo and Kang
concerning the Clarke dual action functional of convex domains and
pseudoholomorphic planes. In dimension 4, I'll explain applications
to the knot types of periodic Reeb orbits.
A recent line of work has shown a surprising connection between
multicalibration, a multi-group fairness notion, and
omniprediction, a learning paradigm that provides simultaneous loss
minimization guarantees for a large family of loss functions...
Working intrinsically on a null hypersurface, we first show that
the Raychaudhuri constraint is the conservation law of a Carrollian
stress tensor. After suitably dressing the diffeomorphisms with the
internal boost symmetry, we derive the full...
Out of time ordered correlator(OTOC) is one signature of quantum
chaos. In certain large N systems, emergent scramblon-exchange
modes dominate, while scramblon interactions are suppressed by
1/N. However, we are going to discuss certain types of...
We discuss several different definitions of phase spaces
associated with horizons in general relativity, and the associated
symmetry groups and charges. For stationary horizons we
compute the symplectic form of the theory in terms of
independent...
Kerr or Reissner-Nordström black holes have inner horizons which
delineate the domain of predictability of solutions of wave
equation type. Often, though not e.g. for certain (A)deSitter black
holes, these inner horizons are classically dynamically...
To construct interesting algebras in quantum gravity, one can
dress local field operators to features of the spacetime. I will
discuss this first in AdS JT gravity with matter, where matter
operators may be dressed to the right or left AdS...
Information located in an entanglement island in semiclassical
gravity can be
nonperturbatively reconstructed from distant radiation, implying a
radical
breakdown of effective field theory. We show that this occurs well
outside of
the black hole...
Post-inflationary QCD axion is an attractive solution to the
Strong CP problem because of the possibility to uniquely predict
the axion mass if axion makes up all of dark matter. On the other
hand, QCD axion models often suffer from the so-called...
My plan is to explain how complex projective spaces can be
identified with components of totally elliptic representations of
the fundamental group of a punctured sphere into PLS(2,R). I will
explain how this identification realizes the pure mapping...