The lecture first discusses known results on rank one local system
cohomology and then presents a method for calculation. The focus is the
Gauss-Manin connection for the map of the fundamental group of the moduli
space of arrangements with a fixed lattice to the complex automorphisms of
the rank one local system cohomology. There is a finite dimensional chain
complex arising from stratified Morse theory which gives surjections to
the rank one local system cohomology preserving the associated Gauss-Manin
connection. To finish an example illustrates the ideas for computation.

Keywords:

Hyperplane Arrangements;Local System Cohomology;Moduli Spaces; Gauss-Manin Connections.

Lecture #10691

Need help? Visit our help pages at http://www.msri.org/communications/vmath/hints

Supplements

Right click on the link and "Save As..." to save to your local computer.

• 10691.pdf (0.2 MB)

Left click on thumbnail to see a larger image.

Streaming Video

This is a high quality streaming video encoded with MPEG-4 and with 640x480 resolution.

Windows and Mac users, QuickTime 6.5 or later required
Linux users, please see our Linux Help Page on how to view our streaming videos

Follow this link to --- Watch the Video Now Via Streaming Video ---

Download QuickTime File

You can download the QuickTime file here. Right click on the link and "Save As..." to save to your local computer.

• 10691-10691-QuickTime.mov (274 MB)

Create a DVD

You can download the video and audio files here. Please note that you need both files to create a DVD. Right click on the link and "Save As..." to save to your local computer. You can find instructions on how to create a DVD on our help page at http://www.msri.org/communications/vmath/author

• 10691-10691-DVD PCM Audio.aiff (405 MB - Audio Only)
• 10691-10691-MPEG-2 120min High Quality Encode.m2v (923 MB - Video Only)

Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture.

If you would like to purchase a copy of this video for $15+shipping, please Click Here!

See more of our Streaming Videos on our main VMath - Streaming Video page.