The CARMA project of the French National Research Agency is devoted to Algebraic Combinatorics, Resurgence, Moulds and Applications. It was started in 2012. The conference CARMA 2017 is aimed as being an important event among the ones organized within this project, to take stock of the numerous recent achievements and publications on these topics, from people both outside and inside this research group.

The conference will notably emphasize the role of Hopf algebraic techniques and related objets (e.g. Rota–Baxter algebras, operads, Ecalle’s mould calculus), which have lately proved pervasive in combinatorics, but also in many other fields, from multiple zeta values to the algebraic study of control systems and the theory of rough paths. Beside those, the last 4 years have seen a burst of articles in various parts of theoretical physics that enhance the role of resurgent functions, beyond their original applications in dynamical systems and these will also be among the topics of the conference. It is a good moment for an extended dissemination of the combinatorial constructions developed within the CARMA project, in connection with Ecalle’s powerful theories, and it is also time to pave the way for a better understanding of some crucial questions being currently studied in many domains of Mathematics or Physics which involve the very same type of objects, and where activity is intense.

This workshop will thus be a timely opportunity for scientists belonging to distinct communities, though sharing similar techniques, to report on their latest results and exchange ideas.

The selection of talks will focus on algebraic combinatorics and moulds, with a component on alien differential calculus and resurgence in Physics.