Prof. Daniel Grieser (Universität Oldenburg): A look at triangles from elementary geometry, spectral theory and singular analysis

Academic or specialist Colloquium / Congress / Forum

Is there anything new to be said about Euclidean triangles in the 21st century? Yes!

I will present three recent results: The first one could be formulated as a problem in high school, but its solution requires higher analysis. The second result uses the first one to answer the question ‚Can you hear the shape of a triangle?‘ — this is about the spectral theory of the Laplace operator. The third result concerns the asymptotics of solutions of PDEs on ‚thin‘ triangles. It gives a new perspective on the second result, and its proof uses modern geometric methods of singular analysis.

When? 20.09.2016 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics