Scary index theory
This board was found in Michael Singer‘s office in Edinburgh. He tells me that it was started by a student coming to him saying that they were scared of Index Theory – an understandable emotion in my opinion. The Atiyah-Singer index theorem is a powerful result which relates topological properties of a manifold with its analytical and geometric properties. [For more explanation, you could try reading my other blog post on this: http://haggisthesheep.wordpress.com/2010/09/20/heroes-of-topology/.%5D Using the theorem, Michael Singer was then able to explain a result to the student using analysis that had previously only been understood via geometry and algebra.