TIME: 1:30-2:20 pm, October 17, 2006 PLACE: CSE 403 TITLE: Multiplicative Weight Method: A general algorithmic tool (with applications to linear and semidefinite programming) SPEAKER: Sanjeev Arora Princeton University ABSTRACT: Algorithms in a variety of disciplines use the idea of maintaining a distribution over a certain set and using the multiplicative weight update rule to update the distribution. Examples include approximation algorithms for packing-covering LPs, boosting in learning theory, portfolio management in finance, and the XOR lemma in cryptography. This talk surveys some of these applications, and describes new applications of such ideas to computing fast solutions to LPs and SDPs.