Title: Tightness and maximal symmetries of tensors

Abstract: To study the complexity of the matrix multiplication tensor,
Strassen introduced a class of tensors that vastly generalize it, the
tight tensors. Tight tensors are essentially tensors with a ”good”
positive dimensional symmetry group. This also motivates further
investigations of (1-generic) tensors with large symmetry group. In this
talk, we discuss some combinatorial and geometric consequences of
tightness and identify the tensors with largest possible symmetry
groups. This is based on joint works in progress with A. Conner, F.
Gesmundo, JM Landsberg, and Y. Wang.