[geometry-ml:06791] 東大数理・複素解析幾何セミナー 5/11

[shigeharu takayama]

皆様、

東大数理・複素解析幾何セミナーのお知らせです。

2026年05月11日(月) 10:30-12:00
数理科学研究科棟(駒場) 126号室
日仏数学拠点FJ-LMIセミナーとの共同開催

講演者：Luc Pirio 氏 (CNRS/Université Paris–Saclay)
講演題目：From Cauchy and Abel to Hyperlogarithmic Functional Identities on
Del Pezzo Surfaces (English)
[ 講演概要 ]
Polylogarithms are special functions with many remarkable properties,
notably their functional identities. The most interesting identities
of this kind involve several variables and are known only in low
weights. In weights 1 and 2, there is essentially one fundamental
identity in each case: Cauchy’s equation for the logarithm and Abel’s
five-term identity for the dilogarithm.
After introducing the subject, I will present natural generalizations,
up to weight 6, of Cauchy’s and Abel’s identities. The new identities
are no longer merely polylogarithmic, but hyperlogarithmic, and they
arise naturally from the geometry of del Pezzo surfaces.
In the second part of the talk, I will discuss a generalization of an
approach due to Gelfand and MacPherson in the weight 2 case, leading
to a more canonical viewpoint on these hyperlogarithmic functional
equations.
The first part of the talk is based on joint work with Ana-Maria Castravet.

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今後の予定はこちら
https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html

世話人
高山 茂晴、平地 健吾