OS Reelle Geometrie und Algebra & KWIM: Collineation varieties of tensors

Wann
Freitag, 7. Juni 2024
13:30 bis 15 Uhr

Wo
F 426

Veranstaltet von
Mateusz Michalek

Vortragende Person/Vortragende Personen:
Hanieh Keneshlou

A linear space of matrices gives rise naturally to a family of algebraic varieties: the $k$-th collineation variety, parametrised by size $k$ minors. In this talk, we address the study of the collineation varieties starting from the initial case of pencil of matrices. This approach naturally leads to new stratification of tensor spaces. We present some of these stratifications and we recover varieties of interest in the study of border rank and border subrank of tensors in terms of our strata.

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