15 April 2022
Homotopy Type Theory is an emerging field of mathematics that studies a fruitful relationship between homotopy theory and (dependent) type theory. This relation plays a crucial role in Voevodsky’s program of Univalent Foundations, a new approach to foundations of mathematics based on ideas from homotopy theory, such as the Univalence Principle.
The UniMath library is a large repository of computer-checked mathematics, developed from the univalent viewpoint. It is based on the computer proof assistant Coq.
In this school, we aim to introduce newcomers to the ideas of Univalent Foundations and mathematics therein, and to the formalization of mathematics in UniMath, a library of Univalent Mathematics based on the Coq proof assistant.
Participants will receive an introduction to Univalent Foundations and to mathematics in those foundations. In the accompanying problem sessions, they will formalize pieces of univalent mathematics in the UniMath library.
Participants should be interested in mathematics and the use of computers for mathematical reasoning. Participants do not need to have prior knowledge of logic, Coq, or Univalent Foundations.
For information on how to participate, please visit School on Univalent Mathematics 2022.
The organizers Benedikt Ahrens and Marco Maggesi