We consider the problem of computing a Gradient Descent solution
of a continuously differentiable function f on a bounded convex
domain, i.e., finding a "point where Gradient Descent terminates".
Equivalently, this corresponds to computing a so...
In this talk, we explore new techniques to probe the analytic
structure of scattering amplitudes in perturbative Quantum Field
Theory. The goal of this approach is to leverage symmetries,
limits, and analyticity in order to circumvent the explicit...
Knots associated to overtwisted manifolds are less explored.
There are two types of knots in an overtwisted manifold – loose and
non-loose. Non-loose knots are knots with tight complements whereas
loose knots have overtwisted complements. While we...
In this talk we consider the links of simple singularities,
which are contactomoprhic to S3/G for finite subgroups G of
SU(2,C). We explain how to compute the cylindrical contact homology
of S3/G by means of perturbing the canonical contact form by...
Recent years have seen the appearance of a plethora of possible
metrics on spaces of Lagrangian submanifolds. Indeed, on top of the
better-known Lagrangian Hofer metric and spectral norm, Biran,
Cornea, and Shelukhin have constructed families of so...
We consider the standard L-function attached to a cuspidal
automorphic representation of a general linear group. We present a
proof of a subconvex bound in the t-aspect. More generally, we
address the spectral aspect in the case of uniform parameter...
Recent radio observations of inflowing and outflowing plasma in
the vicinity of supermassive black holes are linked to simple
phenomenological models via general relativistic
magnetohydrodynamic simulations through a methodology called
"Observing"...
