Waring rank and SLP for annihilators of symmetric forms

Algebraic and Enumerative Combinatorics

12 March 10:00 - 10:50


In a joint work with Migliore, Miró-Roig and Nagel, we study Gorenstein algebras defined by the annihilators of symmetric forms. In particular we obtain a complete picture of what happens for symmetric cubics in terms of the Strong Lefschetz Property (SLP) and the Waring rank. We also prove that complete symmetric forms of any degree give algebras satisfying the SLP and we provide a surprisingly short power sum decomposition for them.
Sara Billey
University of Washington
Petter Brändén
KTH Royal Institute of Technology
Sylvie Corteel
Université Paris Diderot, Paris 7
Svante Linusson
KTH Royal Institute of Technology


Svante Linusson


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