Events

Pawel Sarkowicz, Department of Pure Mathematics, University of Waterloo

"A Fourier Series Approach to the Isoperimetric Problem"

We will discuss the isoperimetric problem, which is a question of relating the area of an enclosed space to its perimeter (at least in the plane). We will see how this inequality comes to fruition and what it’s optimal solution is using Fourier series. Time permitting, we will look at generalizations of the problem.

MC 5501

Michael Deveau,  Department of Pure Mathematics, University of Waterloo

"Computability Theory and Some Applications"

Alessandro Portaluri, University of Turin

"Existence and Stability Results in Celestial Mechanics"

Is the solar system stable? This is maybe one of the oldest open questions in dynamical systems. It is still a lively and very active research field starting from Newton, Lagrange, Maxwell, Poincar\'e and Birkhoff (only to mention a few) who proved several astonishing results in this direction.

Speaker 1: Patrick Naylor, Department of Pure Mathematics, University of Waterloo

"Handles and Kirby diagrams"

Ever wanted to represent a manifold with a diagram? Via several examples, this talk will explain how low dimensional manifolds and the relationships between them can be described by Kirby diagrams. We will review the necessary Morse theory to describe handle decompositions, and then use this to draw many pictures. 

Speaker 2: Jason d'Eon, Department of Pure Mathematics, University of Waterloo

Jeffrey Samuelson, Department of Pure Mathematics, University of Waterloo

"An Agrarian Interlude"

Anton Mosunov, Department of Pure Mathematics, University of Waterloo

"Absolute Bounds on the Number of Solutions of Certain Equations of Thue and Thue-Mahler Type"

Let $F(X, Y)$ be an irreducible polynomial with integer coefficients of degree at least three. In 1909 it was proved by Thue that the Diophantine equation

$$F(x, y) = m,$$

Carlos Valero, Department of Pure Mathematics, University of Waterloo

"Ask Sheeves"

This will be a continuation of Tuesday's talk.

MC 5479

Christopher Lang, Department of Pure Mathematics, University of Waterloo

"The ADHM-Nahm Procedure"

In my last talk, we examined how group actions simplify the Nahm equations.  In this talk, we outline the procedure that generates monopoles from solutions of these equations, the ADHM-Nahm procedure.  Then, using Maple,, we follow this procedure to generate explicit examples of monopoles.

Spencer Whitehead, Department of Pure Mathematics, University of Waterloo

'Decorated Coxeter Diagrams'

Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo

"A variety of schemes"

in this talk we will define  schemes. We will see some examples of schemes that are not affine schemes. Next, we will study properties of  locally ringed spaces and stalks of schemes along with their residue fields. Finally, we will see how to glue schemes and depending on the gluing we can have different types of schemes.

MC 5479

Nickolas Rollick, Department of Pure Mathematics, University of Waterloo

"Approximation Constants for Closed Subschemes of Projective Varieties"