Univalent polymorphism

Add to your list(s) Download to your calendar using vCal

• Benno van den Berg (University of Amsterdam)
• Tuesday 30 January 2018, 14:15-15:15
• MR5, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Tamara von Glehn.

This talk will be concerned with Hyland’s effective topos. It turns out that this topos is the homotopy category of an interesting path category (a path category is essentially a category of fibrant objects in the sense of Brown in which every object is cofibrant). Within this path category one can identify an interesting subclass of the fibrations: the discrete ones. This subclass contains a universal element, which is, however, not univalent. By passing to a more complicated category, one can obtain a universe for discrete hsets which is univalent. These categories provide weak models of the calculus of constructions plus univalent universes plus resizing (weak in the sense that many equalities hold up only in propositional form).

This talk is part of the Category Theory Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• Category Theory Seminar
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR5, Centre for Mathematical Sciences
• School of Physical Sciences
• bld31
• ndb35's list
• yk373's list

Note that ex-directory lists are not shown.