Time:  12:30  13:30 
Room: 
Wean Hall 8220

Speaker: 
Andy Zucker Department of Mathematical Sciences CMU 
Title: 
Algebra in the Samuel compactification

Abstract: 
To every topological group G we can associate its Samuel compactification (S(G), 1). This is the largest pointtransitive Gflow according to a suitable universal property. Using the universal property, we can endow S(G) with the structure of a compact lefttopological semigroup. While the algebraic properties of S(G) are an active area of research for G a countable discrete group, less attention has been paid to other topological groups. In this talk, we will discuss a method of characterizing S(G) when G is an automorphism group of a countable structure. We will then take a closer look at the case G = S_{∞} and answer several questions about the algebraic structure of S(G). This is joint work with Dana Bartošová. 