Course Announcement: High Dimensional Expanders

lubotzky picture

Alex Lubotzky and I  are running together a year long course at HU on High Dimensional Expanders. High dimensional expanders are simplical (and more general) cell complexes which generalize expander graphs. The course will take place in Room 110 of the mathematics building on Tuesdays 10-12.

Topics will include:

  • Some background on expander graphs and on simplicial complexes and homology 
  • The geometric definition of high dimensional expanders in the recent paper: Overlap properties of geometric expanders.  by J. Fox, M. Gromov, V. Lafforgue, A. Naor, and J. Pach;
  • A cohomological definition arising in Linial-Meshulam’s work about homology of random complexes;  possible definitions based on high Laplacians,
  • Ramanujan complexes; 
  • Potential applications to error correcting codes and quantum error correcting codes.

(I will add further relevant links, and a more detailed description later.)

 

About these ads
This entry was posted in Uncategorized. Bookmark the permalink.

2 Responses to Course Announcement: High Dimensional Expanders

  1. Gordon Royle says:

    Is there any chance that material related to this course (notes etc) could be posted online to accommodate remote auditors?

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s