DMS Analysis and Stochastic Analysis Seminar (SASA)

Title: Trilinear singular Brascamp-Lieb forms and applications

Abstract: Classical Brascamp-Lieb forms are multilinear integral forms acting on functions on Euclidean spaces. A necessary and sufficient condition for their boundedness on Lebesgue spaces is known. Singular Brascamp-Lieb forms arise when one of the input functions in a Brascamp-Lieb form is replaced by a singular integral kernel. Examples include the Coifman-Meyer multipliers and the multilinear Hilbert transform. A general necessary and sufficient condition for boundedness of singular Brascamp-Lieb forms remains unknown, and their theory continues to be developed on a case-by-case basis. In this talk, we discuss a classification of trilinear singular Brascamp-Lieb forms and describe applications of boundedness results for certain subclasses to problems in ergodic theory.

This talk is based on joint works with Lars Becker and Fred Lin.

Host: Bingyang Hu