Identity Types -
Topological and Categorical Structure
Workshop, Uppsala, November 13-14, 2006
(Ångström laboratory, Uppsala University)
Theme of workshop
The identity type, the type of proof objects for the fundamental
propositional equality, is one of the most intriguing constructions of
intensional dependent type theory (also known as Martin-Löf type theory).
Its complexity became apparent with the
Hofmann-Streicher groupoid model of type theory. This model also hinted at
some possible connections between type theory and homotopy theory and higher
categories. Exploration of this connection is intended to be the main
theme of the workshop.
List of speakers
- Steve Awodey (Pittsburgh),
Type theory of higher-dimensional categories.
- Benno van den Berg (Darmstadt), Types as weak
- Wojciech Chacholski (Stockholm),
Representations of spaces and mapping complexes.
- Peter Dybjer (Göteborg), History and meaning of the identity
- Nicola Gambino (Montreal), Quillen model structures on diagrams
of categories. Abstract.
- Richard Garner (Uppsala), Factorisation systems for type
- Martin Hyland (Cambridge), Algebraic homotopy theory: lessons
for type theory. Abstract.
- Maria Emilia Maietti (Padova) and Giovanni Sambin (Padova),
Intensionality vs. extensionality: a solution with two levels of
- Per Martin-Löf (Stockholm), Topos theory and type theory.
- Thomas Streicher (Darmstadt), Identity types vs. weak
omega-groupoids: some ideas, some problems.
- Michael A Warren (Pittsburgh),
Model categories and intensional identity types.
The working days of the meeting
are Monday November 13, and November 14 until noon.
Programme The final programme is
(Building 6, 7, 63 and 3 in the MIC area. Photo by Roland Grönroos)
Uppsala University, Polacksbacken, Lägerhyddsvägen 1-2, Uppsala.
The workshop will be held on two different but nearby locations. It starts
in the morning of November 13,
in room 6140, which is situated in Building 6 in the
The entrance is between building 5 and 6 and has a sign "Aula" next
to it. See map.
After the lunch break the workshop continues in room Å4004,
located in the
Ångström laboratory building across the street (Lägerhyddsvägen).
Å4004 is on the ground floor of building 4 ("hus
4"). See this
map of the laboratory. The entrance from the street is
at the top of the map. The location for the final morning
session on November 14 is again room 6140.
Instructions how to get to Uppsala. [Note that the information is
reused from an old conference!]
is expected to be arranged by participants themselves. Here is a
list of hotels
(prices are subject to change).
November 8, 2006,