Exercise numbers refer to the following Exercise collection
Here is a version of the lecture notes with corrected
typos indicated
Here are some new notes on Weyl's law
[2]: Introduction to Pseudo Differential Operators
Back to the home page.
 Geometric Analysis, 2nd semester
 1. Week 07 (Feb 13):
Motivational overview:
 2. Week 08 (Feb 20):
First hour (BW):
Second hour (IS):
To do for all: homework exercise 1 (hand in by Feb 27)
 3. Week 09 (Feb 27 ):
First hour (KR)
Second hour (GB):
To do for all: homework exercise 2 (hand in by March 13).
Please use LaTeX font size 12pt.
 4. Week 10 (March 6):
First hour (MM):
Second hour (LS):
 5. Week 11 (March 13):
First hour (BK):
Second hour (LZ):
 6. Week 12 (March 20):
First hour (PC):
Second hour (DA):
To do for all: Exercise 4.3.13. Hand in: Monday March 27.
 7. Week 13 (March 27):
First hour (AW):
Second hour (BW):
 8.Week 14 (April 3):
First hour (IS):
Second hour (KR):
Exercise 5.1.6, to be handed in Monday, April 10.
 9. Week 15 (April 10):
First hour (LZ):
Second hour (MM):
Here is a pdf with a precise description of the material
 x. Week 16 (April 17): No meeting, Easter/Pasen.
 10. Week 17 (April 24):
First hour (GB):
Second hour (BK):
 11. Week 18 (May 1):
Take home exercise 5. Deadline for handing in: Monday, May 8.
First hour (LS):
Second hour (DA):
 12. Week 19 (May 8):
First hour (BW): The principal symbol for operators between vector bundles
Second hour (AW): Symbol of adjoint and composition: vector bundle case
 13. Week 20 (May 15):
First hour (LZ): Parametrices for elliptic operators
Second hour (KR): Psdo’s and Sobolev space
 14.Week 21 (May 22):
First hour (GB): Sobolev spaces on a manifold
Second hour (MM): Action of Psdo on Sobolev spaces with coefficients in a vector bundle, basics of Fredholm operataors
 15. Week 22(May 29):
First hour (BK):
Second hour (LS):
 xx. Week 23 (June 5): No meeting: Pentecost/Pinksteren
 16. Week 24 (June 12).
First hour: AW: HilbertSchmidt and trace class operators
Second hour: IS: Trace of kernel operators in geometry
 17. Week 25 (June 19), last meeting.
EvdB: proof of Weyl’s law for the Laplacian on a compact manifold.




Last change: 16/22016