July 17-23, 2022, Cortona, Italy
Homotopy Type Theory and Univalent Mathematics are emerging fields of mathematics that study 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 freely available for everyone, as an open-source project, from the web. The School will give many young researchers an opportunity to familiarize themselves with the UniMath library and become contributors.
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, participants 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.
There is a limited number of places available at the school. To participate, please fill in the application form. The deadline for application is Sunday, April 15, 2022. Applicants will be notified of acceptance to the School within one week after the deadline. The selected participants are requested to confirm their attendance and pay a participation fee of €80. Scuola Matematica Interuniversitaria (SMI) will provide to the participants
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