Holonomy and Resurgence
Duration: 1 hour 8 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Frederic Fauvet University of Strasbourg
18 June 2021 – 13:30 to 14:30 |
|---|
| Created: | 2021-06-21 11:47 |
|---|---|
| Collection: | Applicable resurgent asymptotics: towards a universal theory |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Frederic Fauvet |
| Language: | eng (English) |
| Abstract: | Resurgent functions and alien calculus have been developed by J. Ecalle to tackle irregular singularities of, mostly, non-linear dynamical systems. For linear equations – notably linear ODEs with polynomial coefficients, the properties of resurgence are of course much more accessible, yet these concepts and techniques already yield valuable insights and results in a number of problems. We shall recall some basics on resurgence and alien calculus, using Ecalle’s formalism of minors and majors, brie y review the main properties of stability of holonomic functions and then describe resurgence properties for holonomic functions, in several situations. We shall refer to a joint paper (J.Math.Phys., 2020, 61 (9), h10.1063/5.0009292i. hhal-02371410i, arxiv 1910.01606) with F. Menous (Orsay) and J. Qu´eva (Corte) and more recent work.
|
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.12 Mbits/sec | 572.76 MB | View | Download | |
| WebM | 640x360 | 384.86 kbits/sec | 191.68 MB | View | Download | |
| iPod Video | 480x270 | 483.57 kbits/sec | 240.84 MB | View | Download | |
| MP3 | 44100 Hz | 250.4 kbits/sec | 124.71 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||