Math 276 (Topics in Topology): Atiyah‑Singer Index Theorem
- Instructor:
- Peter Teichner
- Lectures:
- Tuesday and Thursday, 12:30–2 in 51 Evans Hall
- Lecture notes:
- Dmitri Pavlov
Please report all typos in the lecture notes to me by email (pavlov at math).
Lecture notes: TeX, DVI, PostScript, PDF.
Homework 1: TeX, DVI, PostScript, PDF.
Homework 2: TeX, DVI, PostScript, PDF.
Homework 3: TeX, DVI, PostScript, PDF.
Homework 4: TeX, DVI, PostScript, PDF.
Mini-conference: Monday, May 16, 10–1 and 2–6, 740 Evans Hall. Dinner at 7.
Talks:
- 10–10:20: History of the index theorem (Santiago Canez)
- 10:30–10:50: (Harold Williams)
- 11–11:20: Riemann-Roch for elliptic curves (Aaron Mazel-Gee)
- 11:30–11:50: Index theorem for manifolds with boundary (Zachary Sylvan)
- 12:30–12:50: Applications of G-signature theorem to number theory (Eric Peterson)
- 2–2:50: Dirac operators and Weyl's asymptotics for their eigenvalues (Dan Berwick Evans and Nate Watson)
- 3–3:50: Geometric vanishing theorems (Dmitri Pavlov and Sebastian Hurtado-Salazar)
- 4:30–4:50: Positive mass conjecture in general relativity (Renato Vianna)
- 5–5:20: Grothendieck-Riemann-Roch (Yuhao Huang)
- 5:30–5:50: Twisted K-theory and the index theorem (Dario Beraldo)
References: