This workshop is motivated by recent developments arising from the interplay between rigidity theory, algebraic combinatorics and algebraic statistics. In algebraic combinatorics there are deep connections between homological properties of Stanley-Reisner rings and the rigidity theory of the corresponding simplicial complexes. In algebraic statistics, important recent work has explored links between maximum likelihood thresholds and graph rigidity.
Rigidity Theory is a subdiscipline of discrete geometry with a long history, dating to work of Euler and Maxwell. In the last two decades there has been a renewed surge of interest in the topic, driven by progress on major open problems and also by the development of many applications and connections to other areas of mathematics.
Inspired by these developments, the purpose of this workshop is to bring together leading researchers in rigidity theory, commutative algebra, algebraic combinatorics, and algebraic statistics. By facilitating exchange of ideas and methods across these disciplines, we aim to deepen existing connections and to initiate new directions for future research.
One day of the workshop week will be held jointly with the UK Applied Algebra and Geometry Network to encourage collaboration and exchange of ideas.
We acknowledge the support of Edinburgh Mathematical Society and Glasgow Mathematical Journal Trust and the Heilbronn Institute for Mathematical Research.
Participation
Information on participation will follow in due course.
