Please note that November 1st is a national holiday in Poland.

Wednesday 2 November, 11:00-12:00, IM PAN, room 403 - **Nick Vannieuwenhoven**, Condition of tensor decompositions, part I

Wednesday 2 November, 14:30-15:30, IM PAN, room 403 - **Nick Vannieuwenhoven**, Condition of tensor decompositions, part II

Friday 04 November, 11:00-12:00, IM PAN, room 6 - Discussion group

Friday 04 November, 14:30-15:30, IM PAN, room 6 - Discussion group

Abstracts

*Nick Vannieuwenhoven: Condition of tensor decompositions*

The condition number of a computational problem is a measure of the numerical hardness of solving the problem and also measures the sensitivity of the solutions to small changes of the problem instance. I will review the state of the art on condition numbers of the computational problem of decomposing a low-rank tensor decomposition into its constituent parts, i.e., recovering the supporting points on r copies of the base variety from a given point in the r-secant variety of the base variety. In particular, the connection to the Terracini locus and its relevance in applications will be highlighted.