Jarod Alper: Associated forms in classical invariant theory
Jarod Alper, Australian National University
Tid: On 2013-11-13 kl 13.15 - 15.00
Plats: Room 306, Kräftriket, SU
There is an interesting map which associates to a homogeneous form on C^n of degree d with non-vanishing discriminant, a form on C^n of degree n(d-2). This associated form can be identified with the Macaulay inverse system of the Milnor algebra of the original form. It was conjectured in a recent paper by M. Eastword and A. Isaev that all absolute classical invariants of forms on C^n of degree d can be extracted from those of forms of degree n(d-2) via this map. This surprising conjecture was motivated by the well-known Mather-Yau theorem for isolated hypersurface singularities. I will report on joint work with A. Isaev which settles this conjecture in full generality and proves a stronger statement in the case of binary forms.