Sub-riemannian geometry and beyond, III

Embedding balls in groups of polynomial growth into Euclidean space

speaker: Seung-Yeon Ryoo

abstract: Let $\Gamma$ be a group of polynomial growth that is not virtually abelian. We show that the bilipschitz distortion of the ball of radius $n$ in $\Gamma$ into a Euclidean space of sufficiently large dimension is $\sqrt{\log n}$, up to universal constants.

timetable:
Thu 22 Jun, 11:00 - 11:30, Aula Dini
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