Prof. D. Kotschick: Seminar on the Atiyah-Singer index theorem

• Place and time: Wed 14--16 in B 134
• Summary: The Atiyah-Singer index theorem for elliptic operators is one of the highlights of twentieth-century mathematics. It combines geometry, topology and analysis in sophisticated ways, and it has many applications in mathematics and physics. Among many other places, it turns up in gauge theory in calculations of dimensions of moduli spaces, and in other topics at the interface of mathematics and physics.
  There are many different proofs of the index theorem, and each of them leads to particular insights and further developments. In this seminar we will read John Roe's book covering the so-called heat equation proof of the index theorem.
• Intended audience: Master and PhD students of mathematics and/or physics.
• Prerequisites: Some knowledge of differential geometry and topology.
• Reference:
  J. Roe: Elliptic operators, topology and asymptotic methods. Second Edition, Chapman and Hall/CRC 1998.
• Special note because of online teaching: Since seminars in the usual format are not possible for the time being, this seminar will start as a reading seminar. The format of meetings later in the semester is still to be determined. To get access to information about the seminar, you need to sign up by email. To do so, please send me an email adhering closely to the following format:
  Recipient: D.Kotschick@lmu.de
  subject line: Atiyah-Singer Seminar
  In the body of the message please write the following data, in the order given here:
  Last name, First name,
  Email address,
  Matriculation number,
  Course of study (e.g. master mathematics, or TMP).
• Notes: Here are the slides of the talk of 16 July.
  Here are the slides of the talk of 23 July.