Motivic Invariants of Quivers via Dimensional Reduction

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• Bryan, J (British Columbia)
• Friday 15 April 2011, 11:00-12:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

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We discuss recent work of Andrew Morrison who provides a reduction formula for the motivic Donaldson-Thomas invariants associated to a quiver with superpotential. The method is valid provided the superpotential has a linear factor and it allows us to compute virtual motives in terms of ordinary motivic classes of simpler quiver varieties, such as the commuting variety. The main applications include explicit formulas for the motivic Donaldson-Thomas invariants of the orbifolds C x C^2/Z_n and the non-commutative conifold.

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

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