Simon Fraser University

Abstract: Aquantum walk is a quantum process on graph. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of a matrix based on theamplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We will try...

Abstract: Given a set of directions S \\subseteq {0,1,-1}^2 \\setminus {(0,0)}, we wish to count the number of lattice walks of length n on S restricted to the quarter plane. For most sets S, this amountsto a full generation of all walks of length n...

Abstract: It is a long standing open problem in algebraic combinatorics to compute the Kronecker coefficients of the symmetric group using a combinatorial rule. In this talk I will discuss explicit combinatorial formulae (for 5 new cases) for...

Abstract: We consider two classical number theoretic problems that may seem quiteunrelated: * What is the power of 2 dividing the class number of Q(sqrt(-n))* Which n are congruent numbers (n called congruent if it occurs as the area of a right...

Abstract We will survey results on, and techniques for, the generalized Fermat equation x^p + y^q = z^r, where p, q, and r satisfy 1/p + 1/q + 1/r 1. This is joint work with Imin Chen, Sander Dahmen, and Soroosh Yazdani.

AbstractPart of the Langlands Program is to find a meaningful correspondence between representations of Galois groups and representations of reductive algebraic groups. I will attempt to motivate this through an example and then concentrate on what...

Abstract: The classical Martin boundary is concerned with harmonic functions: the non-negative solutions of Laplace's equation 1/2\Delta u=0 in a given domain D of R^n. Harmonic functions are extensively studied and well understood. A culminating...