Geometry and combinatorics of associativity

Venue and dates:

Hamilton Mathematics Institute (HMI), Trinity College Dublin, October 23-27, 2017.

We gratefully acknowledge support of the HMI, the Simons Foundation, and Science Foundation Ireland.

Description of the workshop:

Since the pioneer work of Tamari (Tamari lattice) in the 1950s and Stasheff (associativity up to homotopy) in the 1960s, it has been very apparent that the combinatorics and the geometry of associativity underpin a wide range of contexts in pure mathematics. More recently, associahedra and related polytopes have been arising in a number of research areas which at a first glance appear far apart from each other (cluster theory, combinatorics, group theory, quiver representations, symplectic geometry, toric geometry).

The purpose of this workshop is to gather together experts in some of these areas who will give lectures and mini-courses to establish a common context in which connections between various research direction can be fruitfully discussed, and the missing links between them can be unravelled.

Invited speakers:

Tom Brady, Dublin City University (Ireland)
Frédéric Chapoton, University of Strasbourg (France)
Patrick Dehornoy, University of Caen (France)
Stefan Forcey, University of Akron (USA)
Mikhail Kapranov, Kavli IPMU (Japan)
Yuri I. Manin, Max Planck Institute for Mathematics (Germany)
Vincent Pilaud, École Polytechnique (France)
Jim Stasheff*, University of North Carolina at Chapel Hill (USA)

* video lecture

An animated 3D associahedron, by Andy Tonks
(from the homepage of Jean-Louis Loday)


Vladimir Dotsenko (HMI/TCD)
Victoria Lebed (HMI/TCD)

Registration and financial support:

Please fill in the form via the URL to register. To facilitate the preparation of the workshop, we request all the participants to register as soon as possible, and in any case before October 10.

We may have limited financial support for young participants (postgraduate students and postdocs). If you want to apply for financial support, please fill in the last section of the form and send your recent CV and list of publications together with estimate of required funding (in Euro) to Vladimir Dotsenko ( before August 20. We expect to have more information on available funding in the end of August, and will get in touch with all participants who requested funding around that time.


A poster in the PDF format is available here; feel free to disseminate!

Statement of inclusiveness:

This event is open to all interested mathematicians, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity.