The Kaplansky conjectures

  • Giles Gardam (University of Münster)
Live Stream


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.


17.03.20 21.02.22

Nonlinear Algebra Seminar Online (NASO)

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail