We are pleased to announce the School on Univalent Mathematics 2020, to be held at the Palazzone di Cortona (https://www.sns.it/en/palazzone-cortona), Cortona, Italy, July 27-31, 2020 (https://unimath.github.io/cortona2020/) Overview ======== 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 and workshop, we aim to introduce newcomers to the ideas of Univalent Foundations and mathematics therein, and to the formalization of mathematics in a computer proof assistant based on Univalent Foundations. Format ======= Participants will receive an introduction to Univalent Foundations and to mathematics in those foundations, by leading experts in the field. In the accompanying problem sessions, they will formalize pieces of univalent mathematics in the UniMath library. More information on the format is given on the website https://unimath.github.io/cortona2020 . Application and funding ======================= For information on how to participate, please visit https://unimath.github.io/cortona2020/. Mentors ====== Benedikt Ahrens (University of Birmingham) Joseph Helfer (Stanford University) Tom de Jong (University of Birmingham) Marco Maggesi (University of Florence) Ralph Matthes (CNRS, University Toulouse) Paige Randall North (The Ohio State University) Niccol?? Veltri (Tallinn University of Technolog) Niels van der Weide (University of Nijmegen) Best regards, The organizers Benedikt Ahrens and Marco Maggesi [For admin and other information see: http://www.mta.ca/~cat-dist/ ]