December 11-15, 2017, University of Birmingham, United Kingdom
Univalent Type Theory is an emerging field of mathematics that studies a fruitful relationship between homotopy theory and (dependent) type theory. This relation plays a crucial role in Voevodsky's program of Univalent Foundations, a new approach to foundations of mathematics, based on ideas from homotopy theory, such as the Univalence Principle.
The UniMath library is a large repository of computer-checked mathematics, developed from the univalent viewpoint. It is freely available for everyone, as an open-source project, from the web. The workshop will give many young researchers an opportunity to familiarize themselves with the UniMath library and become contributors.
Sunday, 10 December | |
16:00-19:00 | UniMath install party (see below for info) |
Monday, 11 December | |
11:00-11:30 | Coffee break |
12:30-14:00 | Lunch |
14:00-15:00 | Lecture 1: Spartan Martin-Löf Type Theory (Andrej Bauer) |
15:30-16:30 | Lecture 2: Fundamentals of Coq (Anders Mörtberg) |
17:15-18:00 | Complete semi-Segal types (Nicolai Kraus) |
Tuesday, 12 December | |
10:00-11:00 | Lecture 3: Univalent Foundations (Martin Escardo) |
11:00-11:30 | Coffee break |
11:30-12:30 | Lecture 4: Tactics in UniMath (Ralph Matthes) |
12:30-14:00 | Lunch |
14:00-17:00 | Lab session (incl. coffee break) |
17:15-18:00 | The simplicial set model of type theory (Joseph Helfer) |
Wednesday, 13 December | |
10:00-12:30 | Lab session (incl. coffee break) |
12:30-14:00 | Lunch |
Afternoon | free time |
Thursday, 14 December | |
10:00-11:00 | Lecture 5: Set-level mathematics (Joseph Helfer) |
11:00-11:30 | Coffee break |
11:30-12:30 | Lecture 6: Category theory (Peter Lumsdaine) |
12:30-14:00 | Lunch |
14:00-17:00 | Lab session (incl. coffee break) |
17:15-18:00 | How to implement type theory in one hour (Andrej Bauer) |
19:00- | Dinner at Pasta di Piazza (Google map, Set menu) |
Friday, 15 December | |
10:00-11:00 | Lecture 7: UniMath - its origins, present, and future (Benedikt Ahrens) |
11:00-11:30 | Coffee break |
11:30-12:30 | Lecture 8: Presentation of the project work |
12:30-14:00 | Lunch |
14:00-17:00 | Lab session (incl. coffee break) |
To apply for the workshop, please fill out the application form. The deadline to apply is October 15, 2017. Decisions will be made by the end of October.
Financial support is available to cover participants' travel and lodging expenses. Please indicate your funding needs in the application form.
Information for funded participants: Please collect your receipts for flight tickets, rail tickets, hotel bill, etc. Also keep your boarding passes. You will need to provide them for reimbursement of your costs.
The school/workshop takes place at the University of Birmingham, located at Edgbaston, Birmingham. We recommend choosing accommodation in the city centre of Birmingham, and taking the train to University. The area around the University campus accommodates mostly students and might, accordingly, be less calm or well-maintained than desired. We advise against booking accommodation there.
The New Street train station is in the newly renovated Grand Central, which besides the station features many restaurants and shops, and which is not run-down as one might expect a train station to be. Birmingham city centre is lively and features many restaurants. You can start your search using this Google Maps search link. We have personal experience only with the following hotel:
The train ride from the city centre train station, called New Street, to the University station (see section Location) takes about 10 minutes, and trains run very frequently (usually from platform 12). A return ticket is GBP 3. Be aware that there are "Anytime" (GBP 3) and "Off-Peak" (GBP 2.60) return tickets; the latter do not allow travel from New Street to University before 9:30am.
If you will commute by train (e.g., from the city centre), weekly tickets are available. They are available only at a counter, not at the ticket machines, and require a photograph. A weekly ticket between New Street and University costs GBP 11.20 (compared to GBP 15 for 5 return tickets).
Buses in Birmingham give no change - if you turn up with a GBP 20 note, you'll lose it. You need exact change. The single fare is GBP 2.40 and the "day saver" is GBP 4. This gets you on any National Express bus (but not the independent companies) in the West Midlands.