The Kaplansky conjectures

Mardi, 4. octobre 2022 - 14:00 - 15:00

Giles Gardam (Münster)


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 what is known about these conjectures and my recent disproof of the unit conjecture.