Shape of the moduli space
Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016
Location: MSRI: Simons Auditorium
Teichmüller space
Moduli space
Teichmuller space
32G15 - Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx]
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
14629
The thick part of moduli space is compact and its rich complex geometry if is often ignored while studying the coarse geometry of Teichmüller space. We examine the systole function on moduli space which is known to be a morse function and we will show that is has many local maxima. We will also review some older results and discuss some open questions.
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14629
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