Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry

Autor:	Mikhail Kapranov
Rok vydání:	2021
Předmět:	Pure mathematics Classical theory Factorization Feature (computer vision) General Mathematics Lie algebra Algebraic curve Algebraic geometry Moduli space Mathematics
Zdroj:	Japanese Journal of Mathematics. 16:49-80
ISSN:	1861-3624 0289-2316
DOI:	10.1007/s11537-020-1921-4
Popis:	Infinite-dimensional Lie algebras (such as Kac-Moody, Virasoro etc.) govern, in many ways, various moduli spaces associated to algebraic curves. To pass from curves to higher-dimensional varieties, it is necessary to work in the setup of derived geometry. This is because many feature of the classical theory seem to disappear in higher dimensions but can be recovered in the derived (cohomological) framework. The lectures consist of 3 parts
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dc3f599bb53b916687d8dd1935054972 https://doi.org/10.1007/s11537-020-1921-4 Zobrazit plný text záznamu