Homotopical Algebra and Higher Structures

Batanin, Michael and Lazarev, Andrey and Livernet, Muriel and Markl, Martin (2022) Homotopical Algebra and Higher Structures. Oberwolfach Reports, 18 (3). pp. 2497-2560. ISSN 1660-8933

Abstract

Homotopical algebra and higher category theory play an increasingly important role in pure mathematics, and higher methods have seen tremendous development in the last couple of decades. The talks delivered at the workshop described some of the latest progress in this area and applications to various problems of algebra, geometry, and combinatorics.