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Upcoming talks:
5 June 13:30 (Huxley 130). Aline Zanardini (EPFL), A tale of three GIT problems.
Abstract: A general net of quadric surfaces, together with a choice of a base point, defines a net of plane cubics via Gale duality. To both nets, one can also naturally associate the same smooth plane quartic. In this talk, I will report on joint work with M. Hattori and T. Papazachariou, concerning a generalisation of this classical threefold cycle of correspondences. I will explain how, by extending these correspondences, one can obtain a complete criterion for GIT stability of the three underlying geometric objects using a birational-geometric method.
12 June 13:30 (Huxley 130). Federico Ardila (Queen Mary), Polytopes from amplitudes.
Abstract: Scattering amplitudes and other quantities in physics are given by enormous, intricate sums that are very challenging to compute in practice, and often involve mysterious, extensive cancellations. A powerful technique to explain this phenomenon is to encode the combinatorial complexity of these sums in a geometric object. I will introduce some of the beautiful polytopes that arise and discuss their rich combinatorial structure. Our two central examples will be the associahedron (first discovered in homotopy theory and rediscovered in scattering amplitudes) and the cosmohedron (first discovered in cosmology and seeking a homotopy theoretic interpretation).
My talk will discuss joint work with Marcelo Aguiar and {Nima Arkani-Hamed, Carolina Figueiredo, and Francisco Vazão}, and will not assume previous knowledge of this topic.
19 June 13:30 (Huxley 130). Sebastian Opper (Charles University, Prague)
26 June 13:30 (Huxley 130). Holly Krieger (Cambridge)