Higher symmetries in quantum field theory are novel concepts of
symmetry that involve extended operators such as Wilson lines in
gauge theory. We briefly review this formalism and then
discuss recent applications to particle physics, including
an...
A CSS quantum code C=(W1,W2) is a pair of orthogonal subspaces
in 𝔽n2. The distance of C is the smallest hamming weight of a
vector in W⊥1−W2 or W⊥2−W1. A large distance roughly means that the
quantum code can correct many errors that affect the...
Hives, as defined by Knutson and Tao, are discrete concave
functions on a triangular grid on an equilateral triangle of side
n. It is known through the work of Knutson and Tao that the
probability distribution of the spectrum of the sum of two...
We consider the Schramm-Loewner evolution (SLE_{kappa}) for
kappa in (4,8), which is the regime that the curve is
self-intersecting but not space-filling. We let K be the set of
kappa in (4,8) for which the adjacency graph of connected
components of...
Weak gravitational lensing imprints a coherent distortion onto
the observed shapes of distant galaxies. At the image level, this
gravitational shear is degenerate with the intrinsic shape of
galaxies, and the weak lensing signal-to-noise from an...
We prove this bound by first using the unitary Ichino-Ikeda
formula of N. Harris to relate the central L-value to an
automorphic period integral. There is a `trivial' bound for
this integral, which turns out to correspond to the convexity bound
for...
The goal of this talk is to present new results dealing with the
asymptotic joint independence properties of commuting strongly
mixing transformations along polynomials. These results form
natural strongly mixing counterparts to various weakly and...
If f is a real polynomial and A and B are finite sets of
cardinality n, then Elekes and Ronyai proved that either f(A×B) is
much larger than n, or f has a very specific form (essentially,
f(x,y)=x+y). In the talk I will tell about an analogue of...
Given an area-preserving surface diffeomorphism, what can one
say about the topological properties of its periodic orbits? In
particular, a finite set of periodic orbits gives rise to a braid
in the mapping torus, and one can ask which isotopy...
