About the speaker:
Rainer Sinn is Professor of Applied Algebra at Leipzig University. His research lies in real algebraic geometry, with a focus on sums of squares and projective algebraic geometry. Within the UNIVERSE+ project, his work concentrates on the geometry of amplituhedra.
Abstract:
This talk discusses different approaches to the question of whether the amplituhedron constitutes a positive geometry, with a primary focus on the case m=2. Analogies will be drawn with the theory of polytopes, where methods based on triangulations, adjoints, or mixed Hodge theory are well established. While each of these approaches admits a generalisation to amplituhedra, none has yet led to a complete proof. The talk will highlight both the strengths and the technical challenges of these methods.
The UNIVERSE+ Online Seminar Series is designed to foster dialogue and collaboration among project partners and those interested in positive geometry.
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