Seminar talk, 1 December 2010

Speaker: Pavel Bibikov

Title: On $\mathrm {SL} _{3}$-orbits of ternary forms

Abstract:
The talk will discuss a differential-geometric approach to the classical problem of description of orbits of the standard action of the group $\mathrm {GL} _{3}(\mathbb {C} )$ on the space of ternary forms. The approach allows to classify "almost all" orbits of ternary forms. The plan is to talk also about the classification of real ternary forms, relation to 16th Hilbert problem, and generalization of results obtained to the case of many variables.