Reading seminar from J. Weyman's `Cohomology of Vector Bundles and
Syzygies'.
(Thanks to Pramath for the notes with audio; see below for each lecture.)
| Date |
Time |
Room |
Speaker |
Notes by Pramath Sastry, with embedded audio |
| Thu 2011-Sep-15 |
15:30-16:45 |
LH 4 |
Manoj |
Motivation and Background
|
| Thu 2011-Sep-22 |
15:30-16:45 |
LH 4 |
Manoj |
Koszul complexes; NOTE: skip
page 1 and start from p.2.
|
| Thu 2011-Sep-29 |
|
|
|
No lecture
|
| Thu 2011-Oct-06 |
|
|
|
No lecture
|
| Thu 2011-Oct-13 |
15:30-16:45 |
LH 4 |
Manoj |
Main theorem ; NOTE: skip
page 1 and start from p.2.
|
| Thu 2011-Oct-20 |
15:30-16:45 |
LH 4 |
Manoj |
Proof of the main theorem |
| Thu 2011-Oct-27 |
15:30-16:45 |
LH 4 |
Manoj |
Proof ctd. |
| Thu 2011-Nov-03 |
15:30-16:45 |
LH 4 |
KV |
Borel-Weil-Bott |
| Thu 2011-Nov-10 |
15:30-16:45 |
LH 4 |
KV |
Borel-Weil-Bott ctd. |
| Thu 2011-Nov-17 |
15:30-16:45 |
LH 4 |
KV |
Borel-Weil-Bott ctd. |
| Thu 2011-Nov-24 |
15:30-16:45 |
LH 4 |
V. Balaji |
Schubert Varietiesctd. |
| Thu 2011-Dec-01 |
14:00-15:15 |
LH 4 |
V. Balaji |
Kempf Resolutionctd. |
| Thu 2011-Dec-01 |
15:30-16:45 |
LH 4 |
Manoj |
Lascoux Resolutionctd. |
Plan:
Chapter 5: Geometric technique. Sections 5.1, 5.2, 5.3.
Chapter 6: Det varieties. Sections 6.1 (set-up)
Chapter 4: Bott's thm. Sections 4.1 (need Bott's algorithm), 4.2 (proofs)
(At this point, depending on the audience, some topics from Chapter 2 and
Chapter 3 might be needed.)
Chapter 6: Sections 6.1 (finish the proof), 6.2.
Time permitting,
Chapter 7: Higher rank varieties. Section 7.3
and
Chapter 5. Section 5.4 (Equivariant setup).
CMI Seminars |
Updated:
Tue Sep 13 09:41:00 IST 2011