Lattice Walk Enumeration: Analytic, algebraic and geometric aspects

Abstract: This talk will survey classification of lattice path models via their generating functions.. A very classic object of combinatorics, lattice walks withstand study from a variety of perspectives. Even the simple task of classifying the two dimensional nearest neighbour walks restricted to the first quadrant has brought into play a surprising diversity of techniques from algebra to analysis to geometry. We will consider walks under a few different lenses. We will see how lattice walks can naturally guide the classification of functions into categories like algebraic, D-finite, differentiably algebraic and beyond. Elliptic curves and differential Galois theory play an important role.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.