Title: Matrix Ap weights, degenerate Sobolev spaces, and mappings of finite distortion of finite distortion.

Title: Connections between commutators and weighted inequalities Abstract: I will cover the Cauchy integral approach to the boundedness of commutators of Calderon-Zygmund operators and BMO functions.  I spoke about this approach and proved the basic commutator theorem of Coifman-Rochberg-Weiss in the fall of 2017.  In this talk I will go over some powerful extensions and

Title: Weak Solutions of Mean Field Game Master Equations. Abstract: In this talk we study master equations arising from mean field game problems, under the crucial monotonicity conditions. Classical solutions of such equations require very strong technical conditions. Moreover, unlike the master equations arising from mean field control problems, the mean field game master equations are