### MTP Seminar

# Alan Huckleberry

### (Jacobs University)

## "Aspects and Applications of the Atiyah-Singer Index Theorem II"

** Date: ** |
Mon, November 25, 2019 |

** Time: ** |
13:00 |

** Place: ** |
Research III Seminar Room |

**Abstract:** The Index Theorem is a general result which has its roots in classical geometry. In the first of the two talks we will explain its statement and relevant ingredients in the special case of the Hirzebruch-Riemann-Roch Theorem which was extended from algebraic geometry to an arbitrary analytic setting by the Index Theorem. In the second lecture we will introduce the essential tools for stating the Index Theorem, e.g., the necessary PDE background, and give a very rough idea of its proof.