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Daily Overview |
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RAG2: Real Algebraic Geometry Location: M627 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
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Positive geometries and amplituhedra Max Planck Institute for Physics, Germany Positive geometries are semialgebraic sets with certain special properties that play an important role in particle physics and cosmology. The notion was introduced by Arkani-Hamed, Bai and Lam in 2017. In recent work, Brown and Dupont recast this notion in the language of mixed Hodge theory. The motivation for the development of the machinery of positive geometries was the discovery of the amplituhedron, a geometric object dramatically simplifying the computation of scattering amplitudes. It is however still a conjecture that ampliutehdra are positive geometries. In this talk I will compate the two notions of positive geometries and discuss recent progress on the amplituhedron conjecture. Based on joint work with Joris Koefler and Rainer Sinn. | |
