Donnerstag, 17.07.2014: The Second Order Renormalization Group Flow
Prof. Christine Günther (Pacific University )
The Ricci flow has been of fundamental interest in geometry, most famously due to its central role in the proof of the Poincar{\' e} conjecture. It also arises naturally in physics as the first order approximation of a renormalization group flow from quantum field theory. The {\it second} order approximation, called the RG-2 flow, is the geometric evolution equation $$g' = -2Rc -\frac{ \alpha}{2} Rm^2,$$ where $g$ is a Riemannian metric, $Rc$ is its Ricci curvature, $Rm^2$ is a square of the full curvature tensor, and $\alpha$ is a small positive parameter. We will introduce and motivate the study of this flow, and discuss recent results and open problems.
| Uhrzeit: |
14:15 |
| Ort: |
N14 |
| Gruppe: |
Oberseminar Geometrische Analysis und Mathematische Relativitätstheorie |
| Einladender: |
Cederbaum, Huisken |
