Workshop on Homotopy Type Theory/ Univalent Foundations

The Internet, July 17-18, 2021

Co-located with FSCD 2021, The Internet @ Buenos Aires, Argentina

Videos of the talks

Overview

Homotopy Type Theory is a young area of logic, combining ideas from several established fields: the use of dependent type theory as a foundation for mathematics, inspired by ideas and tools from abstract homotopy theory. Univalent Foundations are foundations of mathematics based on the homotopical interpretation of type theory.

The goal of this workshop is to bring together researchers interested in all aspects of Homotopy Type Theory/Univalent Foundations: from the study of syntax and semantics of type theory to practical formalization in proof assistants based on univalent type theory.

Submissions

Submissions should consist of a title and an abstract of no more than 2 pages in pdf format, via EasyChair.

• Abstract submission deadline: 25 May 2021
• Author notification: 24 June 2021

Considering the broad background of the expected audience, we encourage authors to include information of pedagogical value in their abstract, such as motivation and context of their work.

Registration

Invited speakers

• Evan Cavallo (Carnegie Mellon University): Cohesive Internal Parametricity for Cubical Type Theory
• Peter LeFanu Lumsdaine (Stockholm University): Categories with attributes are not full split comprehension categories

• Anja Petković Komel (University of Ljubljana): Towards an Elaboration Theorem
• Matthew Weaver (Princeton University): ([Directed] Higher) Inductive Types in Bicubical Directed Type Theory

Contributed talks

• Benedikt Ahrens, Roberta Bonacina and Nicolai Kraus Syntax for two-level type theory
• Thibaut Benjamin, Samuel Mimram and Eric Finster Globular weak omega-categories as models of a type theory
• Taichi Uemura and Hoang Kim Nguyen Coherence via ∞-type theories
• Raffael Stenzel $(\infty, 1)$-Categorical Comprehension Schemes
• Rafaël Bocquet Univalent transport and type-theoretic $\infty$-categories
• Jonas Frey and Nima Rasekh Coproducts in ∞-LCCCs with subobject classifier

• Andrew Swan The Nielsen-Schreier Theorem in Homotopy Type Theory
• Dominik Kirst and Felix Rech The Generalised Continuum Hypothesis Implies the Axiom of Choice in HoTT
• J. Daniel Christensen Non-accessible localizations
• Jarl G. Taxerås Flaten and Dan Christensen Ext groups in Homotopy Type Theory
• David Jaz Myers Modal Fracture of Higher Groups
• Felix Cherubini Some simple higher rings

Program

Talks will take place between 2pm-3pm, 3:30-5:30pm, and 6-8pm Central European Summer Time on Saturday and Sunday, with 60 minutes for invited speakers and 30 minutes for contributed talks.

Program committee

• Benedikt Ahrens (University of Birmingham)
• Carlo Angiuli (Carnegie Mellon University)
• Paolo Capriotti
• Floris van Doorn (University of Pittsburgh)
• Eric Finster (University of Cambridge)
• Kuen-Bang Hou (Favonia) (University of Minnesota)
• Chris Kapulkin (University of Western Ontario)
• Paige Randall North (University of Pennsylvania)
• Emily Riehl (Johns Hopkins University)
• Christian Sattler (Chalmers University of Technology)
• Andrew Swan (Carnegie Mellon University)

Organizers

• Benedikt Ahrens, B.Ahrens@cs.bham.ac.uk (University of Birmingham)
• Chris Kapulkin, kkapulki@uwo.ca (Western University)

Previous HoTT/UF Workshops

• HoTT/UF 2020, The Internet
• HoTT/UF 2018, Oxford
• HoTT/UF 2017, Oxford
• HoTT/UF 2016, Porto
• HoTT/UF 2015, Warsaw