Topics in Tensors

A Summer School by Shmuel Friedland


July 6-8, 2011

Department of Mathematics

University of Coimbra






Wednesday, July 6

Theme: Ranks of 3-tensors and a solution of the salmon problem Introduction Lecture 1 Lecture 2

Thursday, July 7

Theme: Nonnegative tensors: eigenvalues, singular values and scaling Lecture 3

Friday, July 8

Theme: Approximation of tensors by low rank tensors Lecture 4

Additional reading material:


Chapter 4:

For the convoy principle, see Section 4.4

For SVD, see Sections 4.9-4.10

For Moore-Penrose inverse, see Section 4.11

For low rank approximation, Section 4.12

For CUR decomposition, see Section 4.13



All lectures will be held in the room 2.5.

Morning sessions: 10.30 - 12.00

Afternoon sessions: 14.00 - 15.30



Wednesday, July 6 (16.30)

A special session by Anthony V. Geramita

Theme: Secant varieties of Segre varieties and tensor decomposition Lecture


This Summer School is supported by CMUC - Centre for Mathematics, University of Coimbra



Organizing Committee: Natália Bebiano and Carlos Fonseca








To register and for further information:

Carlos Fonseca
Department of Mathematics
University of Coimbra
3001-454 Coimbra, Portugal

phone: +351 239 791 172
fax: +351 239 793 069




Hotel Tivoli Coimbra****
Hotel Tryp Melia ****
Hotel Astoria ***
Hotel Almedina ***
Hotel Ibis Coimbra**
Hotel D. Inês***
Pensão Residencial Avenida***
Pensão Residencial Antunes**
Pensão Residencial Domus***
Pensão Residencial Botânico**
Residencial Jardim**
Casa Pombal
Residencial Moderna



Confirmed Participants:


·         Abdolaziz Abdollahi (Shiraz University, Iran)

·         Natália Bebiano (Universidade de Coimbra, Portugal)

·         Cristiano Bocci (Università degli Studi di Siena, Italy)

·         Emmanuel Briand (Universidad de Sevilla, Spain)

·         Cristina Caldeira (Universidade de Coimbra, Portugal)

·         Enrico Carlini (Politecnico di Torino, Italy)

·         Maria Virginia Catalisano (Università degli Studi di Genova, Italy)

·         Luca Chiantini (Università degli Studi di Siena, Italy)

·         Henrique Cruz (Universidade da Beira Interior, Covilhã, Portugal)

·         Jorge Delgado (Universidad de Zaragoza, Spain)

·         Olivier Fercoq (École Polytechnique, Paris, France)

·         Amélia Fonseca (Universidade de Lisboa, Portugal)

·         Carlos Fonseca (Universidade de Coimbra, Portugal)

·         Pedro J. Freitas (Universidade de Lisboa, Portugal)

·         Carlos Gamas (Universidade de Coimbra, Portugal)

·         Anthony V. Geramita (Università degli Studi di Genova, Italy)

·         Nicolas Gillis (Université catholique de Louvain, Belgium)

·         Alexander Kovačec (Universidade de Coimbra, Portugal)

·         Tom Laffey (University College Dublin, Ireland)

·         Rute Lemos (Universidade de Aveiro, Portugal)

·         Ângela Mestre (Universidade de Lisboa, Portugal)

·         Ana Nata (Instituto Politécnico de Tomar, Portugal)

·         Fátima Rodrigues (Universidade Nova de Lisboa, Portugal)

·         Patrícia Santos (Instituto Superior de Engenharia de Coimbra, Portugal)

·         Paolo Sentinelli (Università degli Studi di Roma “Tor Vergata”, Italy)

·         José Dias da Silva (Universidade de Lisboa, Portugal)

·         Susanne Suter (Universität Zürich, Switzerland)

·         Francesco Tudisco (Università degli Studi di Roma “Tor Vergata”, Italy)




Last update: July 11, 2011