University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > BPS invariants in geometry and physics

BPS invariants in geometry and physics

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If you have a question about this talk, please contact Timothy Magee.

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BPS indices were first introduced in physics as a count of ‚short‘ irreducible representations of a supersymmetric extension of the well-known 4-dimensional Lorentz group occurring in special relativity. String theorists suggested to compute these numbers by counting D-branes living in the hidden 6 dimensions of 10-dimensional spacetime. This idea has been made more precise by many mathematicians in the last 20 years and is nowadays known as Donaldson-Thomas theory. In my talks I will sketch the main ideas of Donaldson-Thomas theory and report on recent results obtained in collaboration with Ben Davison. Starting with the problem of counting D-branes, we will introduce BPS invariants and the Hall algebra leading to a categorification of BPS invariants. If time permits, the relation to physics and cluster transformations will be explained.

This talk is part of the Geometry and Mathematical Physics seminar series.

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