Du Bois singularities were defined by DuBois and Steenbrink in the 80's, and are important as the class of singularities where some key ideas from Hodge theory can be carried out. Their definition is quite complicated, but Karl Schwede recently gave a simple characterization in terms of resolution of singularities. As an application, Schwede shows that that F-injective singularities are DuBois, placing them among the pantheon of singularities that have (or are conjectured to have) characteristic p analogs in the world of tight closure. As another application, in joint work with Kovacs and Schwede, we prove a conjecture of Kollar stating that log canonical singularities are DuBois, at least in the Cohen-Macaulay case.

Lecture #13409

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

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.

• 13409-13409-QuickTime.mov (412 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

• 13409-13409-DVD PCM Audio.aiff (683 MB - Audio Only)
• 13409-13409-MPEG-2 120min High Quality Encode.m2v (1556 MB - Video Only)

Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included).

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