Conference on Analysis and Geometry of Dirac Operators

Indiana University, Bloomington IN

Investigators

Abstract

Abstract Award: DMS-0709561 Principal Investigators: Krzysztof P. Wojciechowski, Slawomir Klimek We propose to organize a conference on applications of Dirac operators in geometry, topology and quantum field theory at the Department of Mathematical Sciences of the Indiana University - Purdue University at Indianapolis from Friday to Saturday, March 2-3, 2007. The main purpose of the conference is to create an opportunity to present and discuss some of the most recent and important results in the aforementioned area of mathematics. The tentative list of speakers includes 1. W. Muller (Bonn University) who will talk about the relation between the spectral analysis of Dirac operators and the Selberg Program. 2. A. Carey (ANU Canberra) is expected to talk about his recent work on spectral flow and the spectral shift function. 3. J. Dodziuk (CUNY New York) will talk about Laplacians on graphs. 4. M. Braverman (NEU) will talk about generalized analytic torsion and eta-invariant. 5. S. Stolz (Notre Dame) will talk about applications of Dirac operators in algebraic topology. 6. L. Nicolaescu (Notre Dame) will talk about his research on singularities. 7. P. Kirk (IU at Bloomington) will talk about applications of eta invariant and spectral flow to the study of the topology of 3-manifolds. We have also scheduled several talks by graduate students who are about to complete their PhD theses on related topics. This meeting has a long and outstanding tradition dating back to 1994. It is well-advertised within the Indiana math community. It is recognized as an event having a unique atmosphere with a mixture of presentations of new results and a lot of interaction between older and younger generations of mathematicians. The list of speakers includes many famous mathematicians whose work is related to Dirac operators. Previous meetings have resulted in several important collaborations by the participants published in journals of the highest quality . This year we are going to make an extra effort in order to bring the Conference to the attention of the math community on a national level and we are going actively pursue graduate students with research interest related to the Conference. For more information, see the conference Web site, http://www.math.iupui.edu/dirac2007.