Speaker: Kyle Gannon, Peking University
Title: When do groups recognize coordinates?
Abstract: Suppose that G is a group and I is an infinite index set. Then one can easily construct automorphisms from \prod_{i \in I} G to itself by permuting indices and choosing an indexed family of automorphism from G to itself. However, the natural question then arrises: when does every automorphism of \prod_{i \in I} G essentially decompose into the form described above? In general, we are interested in when classes of groups have such property with respect to all (reduced) products. Using model theoretic methods, one can show that certain natural families of groups have such property and that a total characterization is quite complicated. This is joint work with Ilijas Farah and Pierre Touchard.
The talk will be presented virtually and can be viewed either in Carver 0401 or via https://iastate.zoom.us/j/93127761644