What is... the heat kernel?

This page hosts information on Asilya Suleymanova's talk "What is ... the heat kernel?" at the "What is ...?" seminar. The talk will take place on Friday, June 19, 4:00pm at HU Berlin.

Abstract

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.

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Topic revision: r1 - 26 Jun 2015, BarbaraJung
 
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