Zeta functions in asymptotic algebra
Over the past decades, the study of zeta functions arising from algebraic counting problems has evolved into a distinct branch of asymptotic algebra. An appealing feature of this area is that it constitutes a meeting ground for several different mathematical subjects such as algebra, combinatorics, geometry, and logic. The first part of my talk will be a (biased) introduction to this area, in particular to the study of zeta functions enumerating subobjects (e.g. subgroups). I will then turn to recent developments surrounding the enumeration of (linear) orbits of unipotent groups. A key theme will be the development of tools for proving the absence or presence of geometric features in (at first glance) unexpected places.
- Informed public
- Dimitri Wyss
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)