A very brief look at the Density Hales-Jewett Theorem
Speaker:
Tim Austin, University of California, Los Angeles
Date and Time:
Thursday, April 10, 2008 - 1:30pm to 1:50pm
Location:
Fields Institute, Room 230
Abstract:
In 1991 Furstenberg and Katznelson offered a proof of the density version of a classical result of Hales and Jewett in colouring Ramsey Theory, from which many other results in density Ramsey Theory (such as the multidimensional Szemeredi Theorem) can quickly be deduced. We will give a very brief overview of their approach, and discuss the possibility of turning it into a quantitative account and so extracting (more-or-less) explicit bounds.