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<font size="4">Dear all, <br>
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This is Xiaodan Zhou from Analysis on metric spaces unit at Okinawa Institute of Science and Technology Graduate University. <br>
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We would like to invite you to join virtually the following mini-course</font><span style="font-size: large;"> </span><font size="4">hosted at OIST from August 29th (Tuesday)- September 1st (Friday). The speaker is</font><font size="4"> <b>Professor </b></font><span style="font-size: large;"><b>Kohei
Suzuki</b> from Durham University. </span><font size="4">The </font><span style="font-size: large;">mini-course is accessible to senior undergraduate students, graduate students and anyone beyond the level. </span>
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<div><b>Title</b>: Metric geometry on the configuration space </div>
<div><b>Abstract</b>: The configuration space Y(X) over a base space X is the space of all Radon point measures on X. The space Y(X) has been studied in many fields such as algebraic geometry (e.g., the hyperplane arrangement with X=Grassmannian), algebraic
topology (e.g., the braid group with X=Euclidean plane), representation theory (e.g., the L^2-representation of diffeomorphism groups on manifolds X), statistical physics (e.g., interacting particle diffusions with X=Euclidean space). In this series of lectures,
I will focus on the metric geometry of Y(X) induced by the 2-Wasserstein distance. As Y(X) does not support the volume doubling property, the established theory of PI spaces does not apply. The goal of the series is to elaborate on</div>
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<div><span class="Apple-tab-span" style="white-space: pre;"></span>• Metric geometry on Y(X);</div>
<div><span class="Apple-tab-span" style="white-space: pre;"></span>• Curvature analysis on Y(X);</div>
<div><span class="Apple-tab-span" style="white-space: pre;"></span>• Applications to infinite particle diffusion processes (including e.g. infinite particle Dyson Brownian motion);</div>
<div><span class="Apple-tab-span" style="white-space: pre;"></span>• Open questions.</div>
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Lecture 1 | August 29, 2023 10:00 - 11:00<br>
Lecture 2 | August 30, 2023 10:00 - 11:00<br>
Lecture 3 | August 31, 2023 10:00 - 11:00<br>
Lecture 4 | September 1, 2023 10:00 - 11:00</div>
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<div><font size="4">You can obtain a zoom link through the following registration page:<br>
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<div><a href="https://oist.zoom.us/meeting/register/tJEkduyopzwuGdKMEyD95VOR0ZkB3D_VrN2q#/registration">https://oist.zoom.us/meeting/register/tJEkduyopzwuGdKMEyD95VOR0ZkB3D_VrN2q#/registration</a></div>
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<font size="4">Please feel free to forward the information to anyone who may be interested. We look forward to seeing you in the lecture.<br>
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Best regards,<br>
Xiaodan Zhou<br>
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Analysis on Metric Spaces Unit<br>
Okinawa Institute of Science and Technology Graduate University<br>
Okinawa 904-0495, Japan<br>
<a href="mailto:xiaodan.zhou@oist.jp">xiaodan.zhou@oist.jp</a><br>
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<a href="https://groups.oist.jp/aoms">https://groups.oist.jp/aoms</a></font></div>
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