Lines in 3-Space
- Date
- Jan 9, 2026
- Time
- 2:00 PM - 3:00 PM
- Speaker
- Bernd Sturmfels
- Affiliation
- MPI MiS
- Language
- en
- Main Topic
- Biologie
- Host
- Local Organisers: Nikola Sadovek, Maximilian Wiesmann, Giulio Zucal
- Description
- We consider configurations of lines in 3-space with incidences prescribed by a graph. This defines a subvariety in a product of Grassmannians. Leveraging a connection with rigidity theory in the plane, for any graph, we determine the dimension of the incidence variety and characterize when it is irreducible or a complete intersection. We study its multidegree and the family of Schubert problems it encodes. Our spanning-tree coordinates enable efficient symbolic computations. We also provide numerical irreducible decompositions for incidence varieties with up to eight lines. These constructions with lines play a key role in the Landau analysis of scattering amplitudes in particle physics.
Last modified: Jan 9, 2026, 7:39:47 AM
Location
Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG CSBD SR Top Floor (VC))Pfotenhauerstraße10801307Dresden
- Phone
- +49 351 210-0
- Fax
- +49 351 210-2000
- MPI-CBG
- Homepage
- http://www.mpi-cbg.de
Organizer
Max Planck Institute of Molecular Cell Biology and GeneticsPfotenhauerstraße10801307Dresden
- Phone
- +49 351 210-0
- Fax
- +49 351 210-2000
- MPI-CBG
- Homepage
- http://www.mpi-cbg.de
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