Records from the S-Matrix Marathon: Tasty Bits of Several Complex Variables

Autor:	Curry, Sean N., Lebl, Jiří, Giroux, Mathieu, Hannesdottir, Holmfridur S., Mizera, Sebastian, Pasiecznik, Celina
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	We will cover the basics of several complex variables in 4 lectures: Basic properties of holomorphic functions in several variables, the notion of pseudoconvexity, CR functions and CR geometry, and the $\bar\partial$-problem. The main underlying idea is to connect various characterizations of domains of holomorphy, that is, the natural domains of definition for holomorphic functions. In the process we will connect the function theory on the domain to geometric properties of the boundary, and discuss the relationship between the boundary values and the functions themselves and extension of holomorphic functions from subspaces. These notes are based on a series of lectures held during the S-Matrix Marathon workshop at the Institute for Advanced Study on 11-22 March 2024. Comment: A chapter to be published by Springer Lecture Notes in Physics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.01056 Zobrazit plný text záznamu View this record from Arxiv