18. November 2019

**MATHEMATICAL AND THEORETICAL PHYSICS SEMINAR**

Location: Jacobs University, Bremen, Seminar Room Research III

When: 18.11.2019 13:00 - 14:00 h

Speaker: **Alan Huckleberry **(Jacobs University)

Title: **Aspects and Applications of the Atiyah-Singer Index Theorem I**

**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.

Further information can be found here.