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October 2017

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Wednesday, October 4, 2017 — 4:30 PM EDT

Title: I'll prove the Fundamental Theorem of Algebra

Speaker: Sam Kim Affiliation: Department of Pure Math, University of Waterloo Room: MC 5501

Abstract:

Gauss proved that complex polynomials always admit a root. I'll explain how he came to that conclusion and present a proof that rigorizes his argument in a nice way. You will only need to know a little vector calculus and the intermediate value theorem.

Thursday, October 5, 2017 — 3:30 PM EDT

Title: RSKy Business

Speaker: Nathan Lindzey Affiliation: University of Waterloo Room: MC 6486

Abstract:

We sketch the Robinson-Schensted-Knuth algorithm, then use it to glimpse into the representation theory of some classical combinatorial objects.

Thursday, October 5, 2017 — 3:30 PM EDT

Title: The 8-connected excluded minors for the class of quasi-graphic matroids

Speaker: Rong Chen Affiliation: Fuzhou University Room: MC 5479

Abstract:

The class of quasi-graphic matroids, recently introduced by Geelen, Gerards, and Whittle, is minor closed and contains both lifted-graphic matroids and frame matroids, each of which generalises the class of graphic matroids.

Friday, October 6, 2017 — 3:30 PM EDT

Title: Enumeration in quantum algebras

Speaker: Jason Bell Affiliation: University of Waterloo Room: MC 5501

Abstract:

Many of the classical algebras that occur in algebraic geometry and other mathematical fields have natural quantizations; that is, one can deform the multiplication rule using a parameter q, which has the property that when we specialize q at 1 we recover the classical object.  As part of the general goal of understanding the representation theory of these rings, one often wants to understand the prime spectra of these algebras, that is, the collection of prime ideals in these rigs. 

Thursday, October 12, 2017 — 3:30 PM EDT

Title: A Short Introduction to Projective Geometry

Speaker: Chris Godsil Affiliation: University of Waterloo Room: MC 6486

Abstract:

Basically, see the title. I will be considering the real and complex cases mainly, because that is
what is needed in quantum physics.

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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