Zusammenfassung für den Vortrag am 26.06.2023 (16:30 Uhr)Nonlinear Algebra Seminar
Lizzie Pratt (UC Berkeley)
The amplituhedron is an object defined by physicists to understand particle scattering, and has garnered much recent attention from physicists and mathematicians alike. Mathematically, it is a linear projection of a positive Grassmannian to a smaller Grassmannian, via a totally positive matrix. Generalizing the amplituhedron, we define a Grasstope to be such a projection by any matrix.
In this talk we ask: can we gain new insights by broadening our horizons, and systematically studying all Grasstopes? I will explain some current work with Yelena Mandelstam and Dmitrii Pavlov in this direction.