Zeta functions in asymptotic algebra I: subobject growth
University of Galway, IrelandOver 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. My first talk will be a biased introduction to this area, in particular to the study of zeta functions enumerating subobjects (e.g. subgroups or submodules).
Zeta functions in asymptotic algebra II: orbits and conjugacy classes
University of Galway, IrelandMy second talk will be motivated by but logically independent of the first. I will focus on recent developments surrounding zeta functions enumerating (mostly linear) orbits of unipotent groups. A key theme will be the development of tools for proving the (somewhat surprising) absence of geometric features (“uniformity”) in certain situations.
This calendar is used exclusively for events or announcements sponsored by the Department of Mathematics, the College of Natural Sciences or Colorado State University.