Seminar

Title: Morphisms of complex Hadamard matrices

Abstract:

Let M be a matrix with complex entries of unit norm. A well-known theorem of Hadamard bounds the magnitude of the determinant of M as a function of its dimension, and M is a complex Hadamard matrix if M meets Hadamard's bound with equality.

Title: A George Szekeres formula for restricted partitions

Abstract:

We give asymptotic formulas for the number of integer partitions of n with at most j parts and having largest part at most r, say A(n,j,r). We do this also for the number of partitions of n with largest part equal to  r and having exactly j parts, say C(n,j,r).

Title: What's an amplituhedron?

Abstract: 

I'll introduce the amplituhedron, focusing on why the suffix "hedron" is justified.

Title: Quantum State Transfer

Abstract:

Many quantum algorithms may be modeled as a quantum process occurring on a graph.  We interpret quantum channels implemented by spin chains as wires for transmission of states. 

Title: LWE Part 1: The problem, the cryptosystem and its relationship to lattice Problems

Abstract:

In this talk we will give an overview of the Learning With Errors problem,

Title: Unitary Groups, II

Abstract:

Actually the title should be 2 Unitary groups - I will discuss the 2-dimensional unitary groups.

Title: Chromatic Symmetric Functions and H-Free Graphs

Abstract:

Chromatic symmetric functions are defined in terms of colourings of particular graphs. Some key conjectures in this area concern whether chromatic symmetric functions of claw-free graphs can be written in terms of other symmetric functions with positive coefficients.

Title: Claws, ω and χ: induced binary submatroids

Abstract:

I will discuss the interplay between clique number, chromatic number, and excluding induced submatroids in the setting of binary matroids.

Title: Unitary Groups

Abstract:

Unitary groups play an important role in physics and in finite geometry. This talk, the first of two, will provide an introduction to the topic focusing on the case where the underlying field is the complex numbers.

Title: Counting matroids

Abstract:

We discuss several recent results concerning matroid enumeration and typical properties of matroids, emphasizing the central role that sparse paving matroids play in these results.