Abstract for the talk on 18.08.2020 (11:00 h)

Seminar on Nonlinear Algebra

Alexander Heaton (MPI MIS, Leipzig + TU Berlin)
Minimality of tensors of fixed multilinear rank
See the video of this talk.

We discover a geometric property of the space of tensors of fixed multilinear (Tucker) rank. Namely, we show that real tensors of fixed multilinear rank form a minimal submanifold of the Euclidean space of all tensors of given format endowed with the Frobenius inner product. This is joint work with Khazhgali Kozhasov and Lorenzo Venturello.