Reading Seminar on Tensors: Geometry and Applications

In fall 2024 we will be organizing a reading seminar at UC Berkeley on the book Tensors: Geometry and Applications by J.M. Landsberg. We will be focusing on the first two parts of the book learning about tensors, representation theory and their connection. By the end of the semester we hopefully have time to look at applications, for example tensor networks and algebraic statistics.

The seminar is organized by Svala Sverrisdóttir, she can be reached by email at svala@math.berkeley.edu and in her office in 869 Evans Hall.

Location and time: 939 Evans hall at 11am-12pm Tuesdays.

Schedule

September 17th
:
Svala Sverrisdóttir
,
Multilinear algebra (Chapter 2) first half.
September 24th
:
Svala Sverrisdóttir
,
Multilinear algebra (Chapter 2) second half.
October 1st
:
Smita Rajan
,
Rank and border rank (Chapter 3).
October 8th
:
Svala Sverrisdóttir
,
Algebraic geometry for spaces of tensors (Chapter 4).
October 15th
:
Lizzie Pratt
,
Secant varieties (Chapter 5).
October 22nd
:
Hannah Friedman
,
Exploiting symmetries: Representation theory for spaces of tensors (Chapter 6).
October 29th
:
John Lentfer
,
Representation theory (Chapter 6) first half.
November 5th
:
John Lentfer
,
Representation theory (Chapter 6) second half.
November 12th
:
Joseph Hlavinka
,
Representation theory and homogeneous varieties (Chapter 6).
November 19th
:
Hannah Friedman
,
Phylogenetics.
November 26th
:
No seminar, Thanksgiving break.
December 3rd
:
Bernd Sturmfels
, Eigenvectors of Tensor.