Seminar

Partially symmetric rank of reducible quartics

Department's Seminar
19 July 2023
Start time 
1:30 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Seminar Room Department of Physics (Ground floor – Povo0)
Organizer: 
Department of Mathematics
Target audience: 
University community
UniTrento students
Attendance: 
Free
Contact person: 
Roberto Pignatelli, Elisa Postinghel, Luis E. Solá Conde
0461/283295
Contact details: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 0461/281508-1625-1701-3898-1980-1511
Speaker: 
Francesco Galuppi (Institute of Mathematics Polish Academy of Sciences, Warsaw)

Abstract

The rank of a polynomial is a number that measures its complexity. There are several different ranks that we can consider. Comon’s problem asks when the tensor rank and the symmetric rank coincide. A more refined problem is to compare the symmetric rank to the partially symmetric rank. We show that they coincide for a family of reducible quartics.

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