Title: Rationality of the Poincare series for lattice simplices

Abstract: We often study rings by resolving their defining ideal as a module over a polynomial ring. We may also study a ring by resolving the ground field as a module over the ring itself. Such resolutions do not generally have finite length, and so new interesting questions arise about the growth of Betti sequences. In particular, it is interesting to study the Poincare series, a generating function for the Betti numbers.

In this talk we present a sketch of this phenomenon and a result about the Poincare series of rings associated to a particular family of lattice simplices.

This is joint work with Ben Braun.