| Speaker: |
Matthew Headrick (Brandeis University) |
| Title: |
New approaches to numerical Calabi-Yau metrics |
| Date (JST): |
Tue, Jun 01, 2010, 13:15 - 14:45 |
| Place: |
Seminar Room A |
| Related File: |
270.pdf
|
| Abstract: |
We will report on a new numerical approach to solving the Einstein equation on Calabi-Yau manifolds. The method is based on a combination of Donaldson's spectral representation of the metric and a set of energy functionals we have found that are minimized on the Ricci-flat metric. The new method is efficient enough that it can be practically implemented on Mathematica. The energy functionals also yield a simple heuristic proof of Yau's theorem. In the introductory part of the talk, I will briefly describe a new method, related to Ricci flow, for computing black-hole and other real metrics.
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