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Geometry MMA Seminar: Embedding snowflakes of the Heisenberg group into Euclidean space

Oct 23, 2023, 10:30 - 11:30 AM

 

Speaker:  Alan Chang, Washington University in St. Louis

Title:   Embedding snowflakes of the Heisenberg group into Euclidean space

Abstract:  One consequence of Assouad's embedding theorem is that the snowflaked Heisenberg group has a bi-Lipschitz embedding into Euclidean space. Terence Tao improved this result by constructing an embedding with better quantitative properties. We present an alternative proof of Tao's result which relies primarily on the lattice structure of the Heisenberg group. This is joint work with Seung-Yeon Ryoo. No prior knowledge of the Heisenberg group will be assumed in this talk.

 

Time: Monday, October 23, 2023 – 10:30am-11:30am

Place: Exploratory Hall, Room 4106