Growth functions in crystallography.

9^th June 2023, 14:00
Bartosz Naskr?cki
Adam Mickiewicz University, Poland

Abstract

The topic of this talk is concerned with the discussion of counting the number of cells in filtrations of infinite CW-complexes. This has applications in crystallography and is related to the earlier notion of coordination sequences. I will present some results related to mathematical underpinnings of these notions and present some new results in the context of counting cells against the growing reference frame. In the final part I will sketch a new idea of using Ehrhardt polynomials to explain some symmetry phenomena related to the growth functions.