Scattering amplitudes from derived categories and cluster categories

Severin Barmeier (University of Freiburg, Germany)

22-Apr-2021, 11:00-12:00 (3 years ago)

Abstract: Scattering amplitudes are physical observables which play a central role in interpreting scattering experiments at particle colliders. In recent years a new perspective on scattering amplitudes has revealed a fascinating link to various mathematical structures, such as positive Grassmannians and cluster algebras. In this talk I will explain this connection from the point of view of derived and cluster categories of type A quivers, from which the formulae for scattering amplitudes can be obtained from projectives of hearts of intermediate t-structures. This talk is based on arXiv:2101.02884 joint with Koushik Ray.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides | video )


Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

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Organizers: Severin Barmeier, Frank Neumann*, Sibylle Schroll*
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