Me and Naman plan to organize a reading seminar on topics in global analysis starting April (or May?). The gloal is to understand (among other things) the statement and (proof?) of Atiyah-Singer index theorem and gauge theory.
| Date | Speaker | Title |
|---|---|---|
| 15 April ‘26 | Naman Narang | Connections on principal bundles on smooth manifolds |
| Rupadarshi Ray | Sobolev spaces and elliptic operators on | |
| Rupadarshi Ray | Sobolev spaces and elliptic operators on smooth manifolds | |
| Naman Narang | Riemann-Roch and other problems interpreted as index theorems | |
| Rupadarshi Ray | Dirac operators on spin manifolds | |
| Naman Narang | Chern-Weil theory | |
| Rupadarshi Ray | Kodaira embedding theorem | |
| Naman Narang | Finally, the statement of Atiyah-Singer index theorem… | |
| … | ||
| Index Theory Lecture 33: Proof of the Atiyah-Singer index theorem for the Dirac operator |
Do let me know if you are interested in presenting something!
references
- GlobAnalysis.pdf
- elliptic operators.pdf
- IntroGaugeTheory_LectNotes.pdf
- lsgntgaugetheory.pdf
- Index Theory Lecture 1: Algebraic theory of index - YouTube