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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Beautiful shapes of Teichmuller spaces

Presented by "Yohei Komori (Osaka City University, Japan) ",

21 January 2002 16:00 in CM221

" Uniformizing Riemann surfaces by Kleinian groups, we can identify the Teichmuller space, the deformation
space of Riemann surfaces with the deformation space of corresponding Kleinian groups. From this point of
view, we can embed the Teichmuller space into complex affine space holomorphically. In particular if we
consider one-dimensional Teichmuller space, we can realize it as a domain in the complex place, hence we
can see its figure whose boundary is usually fractal curve. In my talk I will try to explain the reason why it
looks like a "cauliflower" in all scales."

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