Events by date

Speaker 1: Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo

"Differential Harnack estimates"

We will discuss differential harnack estimates including Hamilton’s matrix harnack estimate for solutions of the heat equation and the Li-Yau inequality. If time permits, we will discuss harnack estimates for the Ricci flow.

Speaker 2: Spiro Kargiannis, Department of Pure Mathematics, University of Waterloo

"Bubble Tree Convergence for Harmonic Maps"

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Localisation and the Nullstellensatz"

Jeff defined the basic open sets $D_f$. We'll see that in fact $D_f\simeq \mathrm{Spec}(R_f)$ where $R_f$ is a localisation. We might be able to finish the proof that $\mathrm{Spec}(R)$ is Hausdorff iff $\mathrm{Kdim}(R)=0$. Lastly, we can show that if $A$ is an affine algebra then the closed points are dense in $\mathrm{Spec}(A)$.

MC 5479

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