Severin Barmeier (Köln):
A categorical perspective on scattering amplitudes
Time and place
Friday, 12.5.23, 10:30-11:30, Hörsaal II, Albertstr. 23b
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, known as amplituhedron programme, has revealed a fascinating link to various mathematical structures of a combinatorial nature, 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 K. Ray and on arXiv:2112.14288 joint with P. Oak, A. Pal, K. Ray and H. Treffinger.