Brandeis University Everyperson Seminar

Monday April 24, 2006, 4:00 PM

tea at 3:40 PM at the Math Department lounge (Goldsmith 300)

Speaker: Dmitry Kleinbock

Title: Modified Schmidt Games and a conjecture of Margulis

Abstract: About 40 years ago, Wolfgang Schmidt introduced a certain game played on a subset of a complete metric space. Using this he defined the class of winning sets, which (like residual sets or full measure sets) are closed under countable intersections. I will discuss the original rules of the game, and then a modification needed to prove that certain dynamically defined sets intersect, which in particular settles a conjecture of Margulis made in 1990. Joint work with Barak Weiss.