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String Theory Journal Club

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2020-12-15 (11:00) Calendar icon
Dmitry Noshchenko (IFT UW)

The "Geometric" recursion

We review the famous paper by Maryam Mirzakhani: "Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces", Invent. Math., 167(1):179– 222, 2007. In the first part, we introduce all necessary ingredients: moduli space of Riemann surfaces, Teichmuller space, mapping class group, pairs of pants and then move to McShane identity for length of simple closed geodesics. Link: meet.google.com/gbj-tmns-err

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