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Dear all, <br class="">
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This is Xiaodan Zhou from Analysis on metric spaces unit at Okinawa Institute of Science and Technology Graduate University.
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<div class="">The next talk of our seminar is scheduled on <b class="">this coming Friday, May 28th 9-10 am</b>. <br class="">
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<b class="">Speaker</b> : Nageswari Shanmugalingam, University of Cincinnati<br class="">
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<b class="">Title</b>: Uniformization of weighted Gromov hyperbolic spaces and uniformly locally bounded geometry<br class="">
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<b class="">Abstract:</b><br class="">
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.<br class="">
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You can obtain a zoom link through the following registration page:<br class="">
<a href="https://oist.zoom.us/meeting/register/tJMtdu2urz4qHdf-fiZWSfHgSO55-FtI68P0" class="">https://oist.zoom.us/meeting/register/tJMtdu2urz4qHdf-fiZWSfHgSO55-FtI68P0</a><br class="">
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More information of the seminar can be found here:<br class="">
https://groups.oist.jp/aoms/2021-summer-analysis-metric-spaces-seminar-0</div>
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Please feel free to contact me if there are any questions. <br class="">
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Best regards,<br class="">
Xiaodan Zhou<br class="">
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Analysis on Metric Spaces Unit<br class="">
Okinawa Institute of Science and Technology Graduate University<br class="">
Okinawa 904-0495, Japan<br class="">
<a href="mailto:xiaodan.zhou@oist.jp" class="">xiaodan.zhou@oist.jp</a><br class="">
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https://groups.oist.jp/aoms<br class="">
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