ICTP BASIC NOTIONS SEMINAR - Friday, 1 June at 14:30

[ICTP Math Section]

BASIC NOTIONS SEMINAR SERIES   2018

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///Friday 1 June at 14.30 hrs.



Carolina Araujo  (IMPA)


Title:
The Geometry of Tensors


Abstract:
Tensors are fundamental objects in multilinear algebra, with important 
applications to the complexity of matrix multiplication, signal 
processing, phylogenetics and algebraic statistics. In applications, one 
generally looks for minimal decomposition of tensors as linear 
combinations of undecomposable tensors. The smallest integer r needed to 
write a tensor T as a linear combination of r undecomposable tensors is 
called the rank of T. Determining the rank of a tensor is a problem that 
has received much attention in recent years, and has a nice geometric 
interpretation.
In this talk I will explain some applications of tensors decomposition 
and interpret the problem from the point of view of algebraic geometry. 
In particular, I will present new results about ranks of tensors, in 
collaboration with Alex Massarenti and Rick Rischter.




VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, 1st floor)