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.
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Michael A. Batanin, Andrey Lazarev, Muriel Livernet, Martin Markl, Homotopical Algebra and Higher Structures. Oberwolfach Rep. 18 (2021), no. 3, pp. 2497–2560DOI 10.4171/OWR/2021/46