$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

the heat kernel?

Asilya Suleymanova (HU Berlin)
2015/06/19, 16:00
HU Berlin, at Rudower Chaussee 25, room 1.023
About what?

First we will discuss the notion of a kernel of an operator and the heat operator itself. On the Euclidean space the scalar heat kernel is given by the exact formula . For an arbitrary Riemannian manifold it is usually impossible to find an exact expression for the heat kernel. However for many problems approximate solution suffices. For example, I will show how the local Atyiah-Singer index theorem can be proven using heat kernel approach.