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

Will be posted on YouTube with the consent of the speakers.

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

Registration is free of charge, but mandatory. Please register on the registration site of FSCD.

Invited speakers

Saturday:

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

Sunday:

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

Saturday:

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

Sunday:

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

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, [email protected] (University of Birmingham)
Chris Kapulkin, [email protected] (Western University)

Previous HoTT/UF Workshops

	
		OSZAR »