Zusammenfassung für den Vortrag am 21.02.2022 (15:45 Uhr)

Nonlinear Algebra Seminar Online (NASO)

Giles Gardam (University of Münster)
The Kaplansky conjectures
Siehe auch das Video dieses Vortrages.

There is a series of four long-standing conjectures on group rings that are attributed to Kaplansky. For example, the zero divisor conjecture states that the group ring of a torsion-free group over a field has no zero divisors. I will discuss my recent disproof of the unit conjecture and the connections between the remaining three Kaplansky conjectures and open questions about \(L^2\)-invariants, K-theory and geometric group theory.