Symplectic matrices and the Bloch group

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• Don Zagier (Max-Planck-Institut für Mathematik, Bonn)
• Wednesday 27 July 2022, 15:15-16:15
• Seminar Room 2, Newton Institute.

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

The Bloch group of a field, which is isomorphic up to torsion to its third K-group but has a much more elementary definition and is much easier to work with, plays a role in many questions of 3-dimensional topology and quantum invariants. The talk would discuss some of these and an alternative approach to the Bloch group, based on symplectic matrices over Z, that arises from the so-called Neumann-Zagier equations for idealtriangulations of hyperbolic 3-manifolds.  If time allows, some other potential applications and related topics such as Nahm sums and the Habiro ring will also be discussed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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