Past Events

Analysis on Metric Spaces Unit (Xiaodan Zhou)

Past Events

Fractals and the dynamics of Thurston maps

2021-11-19

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Speaker: Professor Mario Bonk, UCLA

Title: Fractals and the dynamics of Thurston maps

Abstract:

A Thurston map is a branched covering map on a topological 2-sphere for which the forward orbit of each critical point under iteration is finite. Each such map gives rise to a fractal geometry on its underlying 2-sphere. The study of these maps and their associated fractal structures links diverse areas of mathematics such as dynamical systems, classical conformal analysis, hyperbolic geometry, Teichmüller theory, and analysis on metric spaces. In my talk I will report on some recent developments.

Registration: https://oist.zoom.us/meeting/register/tJAtcOGqrDsrE9KqW7_5WOdtPTZ2XEJIqo6-

Catch-All Mathematical Colloquium

2021-10-21

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The colloquium will be held once a month. It will be held online for the time being. Each event consists of a one-hour talk on mathematics followed by a one-hour diversity panel discussion session.

In the mathematics part, we will hear an exciting overview talk for a general audience. October speaker is Megumi Harada, Professor of McMaster University. In the discussion session, we will hear about the speaker's personal journey as a mathematician. You can take inspiration from them and exchange ideas with other participants in a small group. After the sessions are over, there will be a tea time where participants can chat freely.

You can join Part I only or both parts of the colloquium. Please register before Oct 18th, 5 pm. Click here to register!

Quasiconformal and Sobolev mappings in metric measure spaces

2021-10-14

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Analysis on Metric Spaces Fall Seminar

Title: Quasiconformal and Sobolev mappings in metric measure spaces

Speaker: Panu Lahti, Chinese Academy of Sciences

Abstract: Starting from Gehring, the equivalence between the metric, geometric, and analytic def- initions of quasiconformality has been investigated by various authors. There are many results stating that if a mapping is metrically quasiconformal, perhaps only in a relaxed sense, then it is analytically quasiconformal, or at least a Sobolev mapping. In recent joint work with Xiaodan Zhou, we have shown an improved version of such a result, which seems to detect more Sobolev mappings than previous results in the literature. I will discuss these results as well as the general strategy of the proofs.