Epimorphisms and Acyclic Types in Univalent Mathematics

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

• Tom de Jong, University of Nottingham
• Friday 01 March 2024, 14:00-15:00
• SS03, Computer Laboratory.

If you have a question about this talk, please contact Jon Sterling.

We characterize the epimorphisms in homotopy type theory (HoTT) as the fiberwise acyclic maps and develop a type-theoretic treatment of acyclic maps and types in the context of synthetic homotopy theory. We present examples and applications in group theory, such as the acyclicity of the Higman group, through the identification of groups with 0-connected, pointed 1-types. Many of our results are formalized as part of the agda-unimath library.

j.w.w. Ulrik Buchholtz and Egbert Rijke

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Cambridge talks
• Computing and Mathematics
• Department of Computer Science and Technology talks and seminars
• Interested Talks
• Logic and Semantics Seminar (Computer Laboratory)
• SS03, Computer Laboratory
• School of Technology
• Trust & Technology Initiative - interesting events
• bld31
• tcw57’s list
• yk373's list

Note that ex-directory lists are not shown.