What is a straight line? (a journey from M鯾ius to Grothendieck)

讲座名称: What is a straight line? (a journey from M鯾ius to Grothendieck)
讲座时间 2017-05-19
讲座地点 中2-1204
讲座人 Artuo Pianzola
讲座题目:What is a straight line? (a journey from Möbius to Grothendieck)
Abstract: This talk is intended for a general audience. No knowledge of infinite dimensional Lie theory is needed, and the affine algebras are an ”excuse” to discuss, mostly by concrete examples, a bridge between infinite dimensional Lie theory and SGA3. The title of this talk is (intentionally) misleading: Kac-Moody Lie algebras did not exist in 1963. That said, over the last decade substantial results on infinite dimensional Lie theory have been proven using the theory of reductive group schemes developed by Demazure and Grothendieck in SGA3. One can therefore ask, a posteriori, what are the affine algebras in the language of SGA3. It is an intriguing question with an elegant answer that naturally leads to a (new) family of infinite dimensional Lie algebras related to Grothendieck’s dessins d’enfants.




Artuo Pianzola,加拿大阿尔伯塔大学教授。

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