How did dogs become scientific beings? Although it is now widely
understood that a Border Collie or a Golden Retriever is a
cognitively complex creature meriting advanced nutrition and
monthly pharmaceuticals, this way of thinking about dogs was
the...
I will discuss escape of mass estimates for SL(d,ℝ)-horospheres
embedded in the space of affine lattices, which depend on the
Diophantine properties of the shortest affine lattice vector. These
estimates can be used, in conjunction with Ratner's...
In this talk, I will present a computation of the image of the
Hodge-Tate logarithm map (defined by Heuer) in the case of smooth
Stein varieties. When the variety is the affine space, Heuer has
proved that this image is equal to the group of closed...
Agreement testing (aka direct product testing), checks if
consistent local information reveals global structure. Beyond its
theoretical connections to probabilistic checkable proofs (PCPs),
constructing agreement testers is a fundamental...
A dictionary data structure maintains a set of at most n� keys
from the universe [U][�] under key insertions and deletions, such
that given a query x∈[U]�∈[�], it returns if x� is in the set. Some
variants also store values associated to the keys...
Holographic tensor networks model AdS/CFT, but so far they have
been limited by involving only systems that are very different from
gravity. Unfortunately, we cannot straightforwardly discretize
gravity to incorporate it, because that would break...
For a compact Lie group G and a Hamiltonian G-space M, can we
find a smooth weak deformation retraction from a neighbourhood of
the zero level set of the momentum map onto it? If we do not
require smoothness then this is already known, in fact one...
The symplectic squeezings in the cotangent bundle of a torus is
distinct from those in $R^{2n}$, due to the nontrivial topology of
the torus. In this talk, we will show that for $n\ge2$ any bounded
domain of $T^*T^n$ can be symplectically embedded...
We introduce an equivariant Lagrangian Floer theory on compact
symplectic toric manifolds. We define a spectral sequence to
compute the equivariant Floer cohomology. We show that the set of
pairs $(L,b)$, each consisting of a Lagrangian torus fiber...
