Yinhe Peng: Combinatorial properties of the oscillation map, L groups and higher dimensions

Place: Fields Institute (Room 210)

Dates: October 2nd, 2015 (13:30-15:00) and October 9th, 2015 (12-1:20)

Speaker: Yinhe Peng

Title: Combinatorial properties of the oscillation map, L groups and higher dimensions

Abstract: This is a joint work with Liuzhen. We investigated the oscillation map introduced by Justin Moore and found more combinatorial properties. It turns out that these properties can be used to construct an L group with non-Lindelof square. These can also reduce the dimension of certain spaces. We will construct, for each natural number n, an L space whose n-th power is an L space while n+1-th power is not. At last, we will discuss higher dimensional properties of the oscillation map itself.

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