Quantitative Linear Algebra

March 19 - June 15, 2018

Overview

Temporary Clipboard 1The  program lies at the juncture of mathematics and theoretical computer science in a quest for quantitative answers to finite-dimensional questions. The program brings together topics from a number of important directions, including  discrepancy theory, spectral graph theory, random matrices, geometric group theory, ergodic theory, von Neumann algebras, as well as specific research directions such as the Kadison-Singer problem, the Connes embedding conjecture and the Grothendieck inequality.

A very important aspect of the program is its aim to deepen the link between research communities working on some infinite-dimensional functional analysis problems that occur in geometric group theory, ergodic theory, von Neumann algebras; and some quantitative finite-dimensional ones that occur in spectral graph theory, random matrices, combinatorial optimization, and the Kadison-Singer problem.

Organizing Committee

Alice Guionnet (École Normale Supérieure de Lyon)
Assaf Naor (Princeton University, Mathematics)
Gilles Pisier (Texas A&M University - College Station)
Sorin Popa (University of California, Los Angeles (UCLA), Math)
Dimitri Shlyakhtenko (University of California, Los Angeles (UCLA))
Nikhil Srivastava (University of California, Berkeley (UC Berkeley))
Terence Tao (University of California, Los Angeles (UCLA), Mathematics)