[geometry-ml:04334] OIST Analysis on Metric Spaces Seminar

[Xiaodan Zhou]

Dear all,

This is Xiaodan Zhou from Analysis on metric spaces unit at Okinawa Institute of Science and Technology Graduate University.

The next talk of our seminar is scheduled on this coming Friday, May 28th 9-10 am.

Speaker : Nageswari Shanmugalingam, University of Cincinnati

Title: Uniformization of weighted Gromov hyperbolic spaces and uniformly locally bounded geometry

Abstract:
The seminal work of Bourdon and Pajot gave a way of constructing a Gromov hyperbolic space whose boundary is a compact doubling metric space of interest. The work of Bonk, Heinonen, and Koskela gave us a way of turning a Gromov hyperbolic space into a uniform domain whose boundary is quasisymmetric to the original compact doubling space. In this talk we will describe a way of uniformizing measures on a Gromov hyperbolic space that is uniformly locally doubling and supports a uniformly local Poincare inequality to obtain a uniform space that is equipped with a globally doubling measure supporting a global Poincare inequality. This is then used to compare Besov spaces on the original compact doubling space with traces of Newton-Sobolev spaces on the uniform domain. This talk is based on joint work with Anders Bjorn and Jana Bjorn.

You can obtain a zoom link through the following registration page:
https://oist.zoom.us/meeting/register/tJMtdu2urz4qHdf-fiZWSfHgSO55-FtI68P0

More information of the seminar can be found here:
https://groups.oist.jp/aoms/2021-summer-analysis-metric-spaces-seminar-0


Please feel free to contact me if there are any questions.

Best regards,
Xiaodan Zhou

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Analysis on Metric Spaces Unit
Okinawa Institute of Science and Technology Graduate University
Okinawa 904-0495, Japan
xiaodan.zhou ＠ oist.jp<mailto:xiaodan.zhou ＠ oist.jp>

https://groups.oist.jp/aoms

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