Title: Number Fields with Absolutely Abelian Hilbert Class Fields
Abstract: The theory of ideal class groups arose from early attempts to understand Fermat’s Last Theorem and has since become a central topic in algebraic number theory. One of the major advances in this area came with class field theory, which identifies the ideal class group of a number field with the Galois group of its Hilbert…
Title: Stably free cancellation for orders
Abstract: A ring has the stably free cancellation property if every stably free module is free. We will discuss this property for orders in semisimple algebras and show how the question of whether an order has this property can be answered algorithmically. As an application we obtain new cancellation results for integral groups rings. This is joint work…
On January 09, 2026, the Colloquium of the CRC-TRR 358 will take place at the Department of Mathematics, Paderborn. The speaker is Prof. Petra Schwer (Heidelberg).
Abstract:In this presentation I examine the role/s of (Generative) Artificial Intelligence (AI) in mathematics education. By connecting knowledge of learning and teaching mathematics with the possibilities of AI, (it is argued that) we can enhance mathematics learning and teaching. In this, AI may serve as a tool, providing insights into the processes of mathematics learning (e.g., learning analytics) and/or as an actor, actively supporting…
