Schemas and semantics for Higher Inductive Types
1 hour 9 mins,
267.18 MB,
iPod Video
480x270,
29.97 fps,
44100 Hz,
528.67 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Lumsdaine, P
Tuesday 11th July 2017 - 16:00 to 17:00 |
|---|
| Created: | 2017-07-26 13:05 |
|---|---|
| Collection: | Big proof |
| Publisher: | Isaac Newton Institute |
| Copyright: | Lumsdaine, P |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Higher inductive types are now an established tool of homotopy type theory, but many important questions about them are still badly-understood, including:
can we set out a scheme defining “general HITs”, analogously to how CIC defines “general inductive types”? can we find a small specific collection of HITs from which one can construct “all HITs”, analogously to how the type-formers of MLTT suffice for inductive types? how can we model HITs (specific or general) in interesting homotopical settings? I will survey these questions and present what I know of progress on them (in particular, the cell monads semantics of Lumsdaine/Shulman https://arxiv.org/abs/1705.07088); I will also open the floor for interested audience members to briefly present other current work on these topics. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.96 Mbits/sec | .99 GB | View | Download | |
| WebM | 640x360 | 926.84 kbits/sec | 468.40 MB | View | Download | |
| iPod Video * | 480x270 | 528.67 kbits/sec | 267.18 MB | View | Download | |
| MP3 | 44100 Hz | 249.91 kbits/sec | 128.13 MB | Listen | Download | |
| Auto | (Allows browser to choose a format it supports) | |||||