Records from the S-Matrix Marathon: Tasty Bits of Several Complex Variables
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910681452773376 |
|---|---|
| author | Curry, Sean N. Lebl, Jiří Giroux, Mathieu Hannesdottir, Holmfridur S. Mizera, Sebastian Pasiecznik, Celina |
| author_facet | Curry, Sean N. Lebl, Jiří Giroux, Mathieu Hannesdottir, Holmfridur S. Mizera, Sebastian Pasiecznik, Celina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01056 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Records from the S-Matrix Marathon: Tasty Bits of Several Complex Variables Curry, Sean N. Lebl, Jiří Giroux, Mathieu Hannesdottir, Holmfridur S. Mizera, Sebastian Pasiecznik, Celina High Energy Physics - Theory Complex Variables 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. |
| title | Records from the S-Matrix Marathon: Tasty Bits of Several Complex Variables |
| topic | High Energy Physics - Theory Complex Variables |
| url | https://arxiv.org/abs/2411.01056 |