Abstract:We describe some recent algorithmic advances in the development ofgeneral-purpose linear and semidefinite programming (LP/SDP) solvers. Theyinclude:.LP pre solver based on a fast online LP algorithm;Smart crossover from approximate LP solution to optimal basic solution;ADMM-based methods for LP and SDP;..First order method PDHG using GPU architecture.Most of these techniques have been ...
AbstractAfter recalling Lurie's axiomatic framework for deformation theory, I will formulate the deformation theory of k-linear ∞-categories within this framework. Following joint work with Blanc and Katzarkov, I will describe the relationship between formal deformations of a category and solutions to the Maurer-Cartan equation in a certain differential-graded Lie algebra associated with the c...