Paris algebra seminar

Markus Reineke, Bochum

Wild quantum dilogarithm identities

Organizer's time: 2020-11-30 14:00 Europe/Paris

Duration: 1 hour

Access information: Zoom

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We formulate and discuss "wild" analogues of the Fadeev-Kashaev identity for quantum dilogarithms. We review a general quiver setup for such identities, resulting from wall-crossing formulas, motivic Donaldson-Thomas invariants, and the geometry of quiver moduli spaces. The quantum dilogarithm identities are then derived from special properties of representations of generalized Kronecker quivers.

Submitted by: Bernhard Keller