[geometry-ml:06810] 京都大学数理解析研究所セミナーのお知らせ(5/18)

[Noriaki Ikeda]

各位

下記の通り，5月18日（月）10:30から京都大学数研セミナーが以下のようにおこなわれますのでお知らせいたします。

日時: 5月18日（月） 10:30～11:30
会場: 京都大学数理解析研究所206号室

Speaker: Ryo Hayami (Nagano University)
Title: Lie group-rack triples and Lie-Leibniz triples -with a view 
towards an integration theory of embedding tensors-

Abstract: 　 Embedding tensors are used in theoretical physics to 
describe higher gauge structures which are called tensor hierarchies. To 
understand geometric aspects of tensor hierarchies, we should find how 
to "integrate" embedding tensors.
A Lie-Leibniz triple is the mathematical formulation of an embedding 
tensor. In this talk, I will introduce an integrated object of a 
Lie-Leibniz triple, which we call a Lie group-rack triple. I will show 
that any real finite-dimensional Lie-Leibniz triple can be integrated to 
a local Lie group-rack triple. This integration procedure can be seen as 
a generalization of the Bordemann-Wagemann integration of an augmented 
Leibniz algebra into an augmented Lie rack.

https://www.kurims.kyoto-u.ac.jp/ja/seminar/seminar-ikeda.html

池田憲明
京都大学数理解析研究所、立命館大学