It was conjectured by Davide Gaiotto, that K-theoretic Coulomb branches of 3d N=4 SUSY gauge theories possess structure of cluster varieties. In this talk, I will explain how to attack this conjecture in the case of quiver gauge theories.

Braverman, Finkelberg and Nakajima have recently proposed a mathematical definition of the Coulomb branch of a 3d N=4 gauge theory of cotangent type, associating to each such theory a family of associative algebras deforming the algebra of functions on an affine Poisson

In this talk, we will focus on the high-fidelity computations of turbulence from the perspective of modeling and numeric.

The theory and practice of stochastic optimization has focused on stochastic gradient descent (SGD) in recent years, retaining the basic first-order stochastic nature of SGD while aiming to improve it via mechanisms such as averaging, momentum, and variance reduction.