Secant varieties of curves and algebro-geometric knot theory
- Date
- Apr 2, 2026
- Time
- 3:00 PM - 4:00 PM
- Speaker
- Mario Kummer
- Affiliation
- TU Dresden
- Language
- en
- Main Topic
- Biologie
- Host
- Local Organisers: Nikola Sadovek, Maximilian Wiesmann, Giulio Zucal
- Description
- Knot theory aims to classify embeddings of the circle to 3-space up to isotopies. A classical way to distinguish non-equivalent knots is to find a suitable invariant that takes different values on the two given knots. In the same spirit, given a smooth projective curve over a field, we want to classify its embeddings to projective 3-space up to a suitable notion of isotopy. We will explain how determinantal representations of secant varieties give rise to invariants and discuss to which extent they completely classify embeddings up to our notion of isotopy. A prominent role will be played by various variants of the writhe. This is joint work with Daniele Agostini.
Last modified: Mar 31, 2026, 7:37:29 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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