幾何学コロキウム:Pointed harmonic volume and its relation to extended Johnson homomorphism(田所勇樹 氏,木更津工専)

開催日時
2018年   7月 27日 16時 30分 ~   18時 00分
場所
理学部3号館3-204室
講演者
田所勇樹 (木更津工専)
 
Abstract:
The period for a compact Riemann surface, defined by the integral of differential 1-forms, is a classical complex analytic invariant, strongly related to the complex structure of the surface. In this talk, we treat another complex analytic invariant called the pointed harmonic volume. As a natural extension of the period defined using Chen's iterated integrals, it captures more detailed information of the complex structure. It is also one of a few explicitly computable examples of complex analytic invariants. We obtain its new value for a certain pointed hyperelliptic curve. An application of the pointed harmonic volume is presented. We explain the relationship between the harmonic volume and first extended Johnson homomorphism on the mapping class group of a pointed oriented closed surface.

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研究集会・セミナー・集中講義の一覧へ