Spaces and cochains -- yet another approach
1 hour 4 mins,
236.14 MB,
iPod Video
480x270,
29.97 fps,
44100 Hz,
503.77 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
Description: |
Richter, B
Tuesday 18th December 2018 - 15:30 to 16:30 |
---|
Created: | 2018-12-19 14:44 |
---|---|
Collection: | Higher structures in homotopy theory |
Publisher: | Isaac Newton Institute |
Copyright: | Richter, B |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | Rationally, the homotopy type of any
reasonable space is completely determined by (a minimal model of) the Sullivan cochain algebra of the space. If you want to be non-rational, then Mandell's result says that the E∞-algebra structure of the cochains determines the homotopy type. In joint work with Steffen Sagave we construct a strictly commutative model of the cochains of a space using the diagram category of finite sets and injections in order to free things up. We show that this cochain algebra determines the homotopy type of (finite type, nilpotent) spaces. |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 929.96 MB | View | Download | |
WebM | 640x360 | 1.26 Mbits/sec | 606.39 MB | View | Download | |
iPod Video * | 480x270 | 503.77 kbits/sec | 236.14 MB | View | Download | |
MP3 | 44100 Hz | 252.1 kbits/sec | 118.17 MB | Listen | Download | |
Auto | (Allows browser to choose a format it supports) |