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Thursday, October 19, 2017 — 3:30 PM EDT

Title: Sequences: random, structured or something in between?

Speaker: Fan Chung Graham
Affiliation:

University of California, San Diego

Room:  MC 5501

Abstract:

There are many fundamental problems concerning sequences that arise in many areas of mathematics and computation.  Typical problems include finding or avoiding patterns; testing or validating various `random-like’ behavior; analyzing or comparing different statistics, etc.

Friday, October 20, 2017 — 3:30 PM EDT

Title: The Paulsen problem, continuous operator scaling, and smoothed analysis

Speaker: Tsz Chiu Kwok
Affiliation: University of Waterloo
Room: MC 5501

Abstract:

The Paulsen problem is a basic open problem in operator theory: Given vectors u1, ..., un in Rd that are eps-nearly satisfying the Parseval's condition and the equal norm condition, is it close to a set of vectors v1, ..., vn in Rd that exactly satisfy the Parseval's condition and the
equal norm condition? Given u1,..., un, we consider the squared distance to the set of exact solutions.

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