Institute for Mathematical Sciences

Index Theory and Complex Geometry

(1 - 26 Jun 2020)



General Enquiries: ims(AT)nus.edu.sg
Scientific Aspects Enquiries: mathanf(AT)nus.edu.sg

Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Another focus of our program will be the interaction of analytic localization technique in local index theory and complex geometry, for example, the study of Bergman Kernel.We expect that recent works in complex geometry, on pluripotential theory, the Hormander L2 method and the study of Bergman kernels would have many things to share with index theory.

  • Week 1, Seminars, Formal Discussions: 1-5 June 2020
  • Week 2, Workshop on Index Theory and Complex Geometry I: 8-12 June 2020
    We will focus the workshop on the recent progresses in Index theory. Mini-courses will be organized in order to introduce students and non-experts in this research domain.
  • Week 3, Workshop on Index Theory and Complex Geometry II: 15-19 June 2020
    We will focus the workshop on the interactions between Index theory and complex geometry. We will give priority to topics of broad interest rather than technical topics.
  • Week 4, Workshop on Index Theory and Complex Geometry III: 22-16 June 2020
    We will focus the workshop on the recent progresses in complex geometry. Mini-courses will be organized in order to introduce students and non-experts in this research domain.
Venue:



Group photo will be uploaded at a later date.