I will explain that incompressible Navier-Stokes is the wrong
equation to describe turbulence in low Mach number molecular fluids
because it neglects the effects of thermal noise. There should, in
fact, be strong effects of thermal noise throughout...
We present an elementary summary of known results, and open
questions, on scaling problems in hydrodynamic turbulence in three
dimensions. The goal is to provide some background for the two
talks to follow, and summarize Victor Yakhot's theory...
I will explain the construction of a functor from the exact
symplectic cobordism category to a totally ordered set, which
measures the complexity of the contact structure. Those invariants
are derived from a bi-Lie infinity formalism of the rational...
Let ?? be the Liouville function
and P(x)P(x) any polynomial that is not a square. An open
problem formulated by Chowla and others asks to show that the
sequence ?(P(n))?(P(n)) changes sign infinitely often. We
present a solution to this problem for...
Motivated by a formal similarity between the Hard Lefschetz
theorem and the geometric Satake equivalence we study vector spaces
that are graded by a weight lattice and are endowed with linear
operators in simple root directions. We allow field...
In his seminal paper from 1973, Garland introduced a machinery
for proving vanishing of group cohomology for groups acting on
Bruhat-Tits buildings. This machinery, known today as
“Garland’s method”, had several applications as a
tool for proving...
Reconstruction of bulk operators within the causal wedge is
simple to achieve using Lorentzian causal bulk dynamics. In
contrast, the only known methods for reconstructing arbitrary
operators in the full entanglement wedge (the Petz map,
What is the role of quantum extremal surfaces (QES) in general
quantum error-correcting codes? I will present preliminary results
starting to answer this question, expanding on the previous work of
Harlow, providing necessary and sufficient...
I will present a holographic framework for reconstructing the
experience of bulk observers in AdS/CFT. In particular, I will show
how to recover the proper time and energy distribution measured
along bulk worldlines, directly in the CFT via a...
The talk will consist of some general observations about energy
inequalities, such as the statement that the energy density
averaged over a time-like curve is bounded below and the statement
that the averaged null energy on a null geodesic in...