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The Algebraic Combinatorics Seminar

April 14, 2023 @ 4:00 pm - 6:00 pm


Zeta functions in asymptotic algebra I: subobject growth

Tobias Rossmann

University of Galway, IrelandOver the past decades, the study of zeta functions arising from algebraiccounting problems has evolved into a distinct branch of asymptotic algebra.An appealing feature of this area is that it constitutes a meeting groundfor several different mathematical subjects such as algebra, combinatorics,geometry, and logic. My first talk will be a biased introduction to thisarea, 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

Tobias Rossmann

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 thedevelopment of tools for proving the (somewhat surprising) absence ofgeometric features (“uniformity”) in certain situations.


April 14, 2023
4:00 pm - 6:00 pm


Weber 223

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