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Special ColloquiumExport this event to calendar

Thursday, November 21, 2019 — 3:00 PM EST

Polona Durcik, Caltech

"On singular Brascamp-Lieb inequalities"

Brascamp-Lieb inequalities are L^p estimates for certain multilinear integral forms on functions on Euclidean spaces. They generalize several classical inequalities, such as Hoelder's inequality or Young's convolution inequality. Brascamp-Lieb inequalities have been studied extensively in recent years. In this talk we focus on singular Brascamp-Lieb inequalities, which arise when one of the functions in a Brascamp-Lieb integral is replaced by a singular integral kernel. Singular Brascamp-Lieb integrals are much less understood than their non-singular variants. We give an overview of some results and open problems, and discuss applications to certain questions in ergodic theory and Euclidean Ramsey theory.

M3 3103

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