HDRA 2018 - International Workshop on Higher-Dimensional Rewriting and Algebra

Rewriting consists in orienting equalities. This seemingly simple point of view has given rise to a rich theory, which was first developped in computer science for handling strings and terms, and was then extended over the recent years to many other settings (operads, monoidal categories, higher categories, etc.), allowing it to have applications in algebra, homotopy theory and physics. All these generalizations fit into the general scope of higher-dimensional rewriting theory, which has emerged as a unifying algebraic framework.
The aim of the workshop is to gather people interested in pushing further rewriting theory, using (higher) category theory as a common language. It is open to all topics concerning higher-dimensional generalizations and applications of rewriting theory, including
higher-dimensional rewriting: extensions of rewriting theory to higher-dimensional settings (operads, opetopes, polygraphs/computads, parity complexes, augmented directed complexes, etc.), generalizations of string/term/graph rewriting systems, etc.
higher categorical structures: weakening, combination and comparison of categorical structures (monoids, bialgebras, Frobenius algebras, Lie algebras, etc.), coherence theorems, etc.
applications of rewriting to algebraic topology: construction of resolutions, homotopical and homological invariants, linear rewriting (Gröbner bases, applications to algebras and operads), Koszul duality theory, etc.
applications and interactions with other fields: calculi for quantum computations, proof nets, algebraic lambda-calculi, topological models for concurrency, homotopy type theory, combinatorial group theory, etc.
implementations: the workshop will also be interested in implementation issues in higher-dimensional rewriting and will allow demonstrations of prototypes of existing and new tools in higher-dimensional rewriting.