- Polona Durcik
- Associate Professor
- Chapman University
- Date: Feb. 25, Wednesday, 2026
- Time: 14:00-14:50
- Host: Bingyang Hu
- Room: Parker 328
- 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.