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3-Manifolds in Division Rings

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If you have a question about this talk, please contact Julian Wykowski .

Kaplansky’s zero divisor conjecture predicts that the group algebra of a torsion-free group with coefficients in an arbitrary field has no zero devisors. In this talk, we will survey the status of the conjecture, and discuss a proof that group algebras of fundamental groups of 3-manifolds embed into division rings. This is joint with Pablo Sánchez-Peralta.

This talk is part of the Junior Geometry Seminar series.

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