06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Li Guo (Rutgers University)
Throughout the history, mathematical objects are often
understood through studying operators defined on them. Well-known
examples include Galois theory where a field is studied by its
automorphisms (the Galois group), and analysis and geometry where
functions and manifolds are studied through their derivations,
integrals and related vector fields.
A long time ago, Rota raised the question of identifying all the
identities that could be satisfied by a linear operator defined on
algebras. We will discuss some recent progress on understanding and
solving Rota's Problem by the methods of rewriting systems and
Groebner-Shirshov bases. This is joint work with Xing Gao, William
Sit, Ronghua Zhang and Shanghua Zheng.