The Kaplansky conjectures
MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject
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Abstract:
There is a series of four fundamental and long-standing conjectures on group rings attributed to Kaplansky. For example, the zero divisor conjecture 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 my recent disproof of the unit conjecture
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