Alexander Isaev (Mathematical Sciences Institute of Australian National University)

Dear Colleagues,
Alexander Isaev (https://maths-people.anu.edu.au/~isaev) from the Mathematical Sciences Institute of Australian National University will speak on Wednesday January 30 at 6:30pm in room 108. All are welcome.

Abstract: 
We discuss the morphism \Phi, introduced by J. Alper, M. Eastwood and the speaker, that assigns to every non-degenerate homogeneous form of degree d\ge 3 in n\ge 2 variables the so-called associated form, which is a homogeneous form of degree n(d-2) in n variables.

The morphism \Phi is of interest in connection with the well-known Mather-Yau theorem, specifically, with the problem of the explicit reconstruction of an isolated hypersurface singularity from its Tjurina algebra.
Furthermore, upon multiplication by a suitable power of the discriminant, the morphism leads to a previously unknown contravariant of homogeneous forms.

In this talk, I will present a review of results and open problems related to \Phi and the corresponding contravariant.