Thursday 2 October 2025 at 3 pm, as part of the Al@Bicocca seminar cycle, Giles Gardam (University of Bonn) will give the following talk
Title: The Kaplansky conjectures
Abstract: There is a series of four fundamental and long-standing conjectures on group rings attributed to Kaplansky: the unit, zero divisor, idempotent and direct finiteness conjectures. The zero divisor conjecture, for example, states that the group ring of a torsion-free group with field coefficients has no zero divisors. I will discuss these conjectures, their connections to other open questions in various areas of mathematics, and the disproof of the unit conjecture.
Information to attend
The seminar will be held in Room U9-16 (U9 Building, Floor -1) University of Milano-Bicocca and will also be available online by this link
For more information, visit the website