We are pleased to announce a semester focused on tensors in geometry. The program is a part of series of research oriented Simons Semesters at the Banach Center in Warsaw (Poland), with supplementary funding from IMPAN and NCN. All events are scheduled to be in-person and in Warsaw at IMPAN and MIM UW.
- Classical theory of tensors: identifiability, ranks and border ranks, secant varieties and their equations, apolarity and border apolarity.
- Applications in complexity theory: laser method, complexity of matrix multiplication, minimal border rank tensors, asymptotic invariants of tensors.
- Moduli spaces behind tensors: varieties of sums of powers, Hilbert schemes of points, varieties of commuting matrices.
- Applications in mathematical physics: quantum entanglement, geometric invariant theory and its applications, quantum states.