Algebraic and enumerative combinatorics seminar - Nathan Pagliaroli- Counting triangulations from bootstrapping tensor integrals

Abstract: Tensor integrals are the generating functions of triangulations of pseudo-manifolds. Such triangulations are constructed by gluing simplices along facets. These generating functions satisfy an infinite system of recursive equations called the Dyson-Schwinger equations, derived by reclusively gluing together triangulations. Such integrals also satisfy positivity constraints. By combining the Dyson-Schwinger equations and positivity constraints in a process called bootstrapping we are able to deduce known results for the generating functions of certain classes of triangulations as well as find new explicit formulae. This talk is based on joint work with Carlos I. Perez-Sanchez and Brayden Smith.

There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1:30pm.