Charlotte Scott Centre for Algebra

On Wednesday the 26th of May 2021, Leo Margolis (Vrije Universiteit Brussel) will be giving a seminar on his research at 4pm. The details of his talk are as follows:

Title: On the Modular Isomorphism Problem

Abstract: The Isomorphism Problem for group rings asks for which groups *G* and *H* the group rings of these groups over a given commutative ring *R* are isomorphic as rings. Less formally speaking, it asks how much the linear representations of *G* over *R* know about the structure of the group *G*. Several concrete formulations of the problem were studied, but the only classical formulation which remains open today and was explicitly formulated by R. Brauer is the *Modular Isomorphism Problem*: Does the group ring of a finite *p-*group *G* over a field of characteristic *p* determine *G* up to isomorphism?

Though in contrast to other cases the Modular Isomorphism Problem…

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