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Student Seminar on Deformation Theory: Framed formal curves April 17, 2019 (02:30 PM PDT - 03:50 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Dmitry Vaintrob (Massachusetts Institute of Technology)
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I will talk about a new moduli-theoretic interpretation of the spaces of framed little disks, as well as their higher-genus generalization of complex curves with parametrized boundary, as geometric objects over the rational field Q. Applications of this formalism give geometric "explanations" for several results previously proven using transcendental or analytic methods, namely formality of E_n operads, Galois action on Drinfeld associators, and certain relations between "modular" periods and zeta functions proven by Hain.

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