Mike Pawliuk: Various types of products of Fraisse Classes, various types of amenability and various types of preservation results

22 August 2014, 13:30–15:00

Fields institute, Room 210

Speaker:  Mike Pawliuk

Title:  Various types of products of Fraisse Classes, various types of amenability and various types of preservation results.

Abstract:

This is joint work with Miodrag Sokic. In a recent paper of Jakub Jasiński, Claude Laflamme, Lionel Nguyen Van Thé and Robert Woodrow (Arxiv: 1310.6466) it was shown that certain Fraisse Classes are actually Ramsey classes. For many of those cases we have determined whether their automorphism groups are extremely amenable or not. Some of these spaces turn out to actually be a special type of product of Fraisse classes. We were able to prove that unique ergodicity (a type of amenability) is preserved under this type of product.

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