Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Schemes of tensor eigenvectors

Francesco Galuppi

created by galuppi on 20 Apr 2022

5 may 2022 -- 12:15

Warsaw University, ulica Banacha 2, room 2100

Seminar talk, 45 minutes.

Abstract.

It is common to study linear maps by looking at the corresponding matrices and their eigenvectors. When we pass from linear maps to polynomial maps, we are dealing with tensors instead of matrices. While we know a great deal about matrix eigenvectors, their tensor counterpart are more elusive object. Tools from commutative algebra and algebraic geometry give us a better understanding of what are they, what is their structure and how to explicitely compute them. This is a joint project with Valentina Beorchia (Trieste University) and Lorenzo Venturello (Royal Institute of Technology, Stockholm).

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