报告题目：When do groups recognize coordinates?

报 告 人：Kyle Gannon，北京大学助理教授

报告时间：2026年5月25日（星期一）11:00—12:00

报告地点：6776永利集团111A

校内联系人：赵磊 教授        联系方式：84708351-8625

Abstract: Fix a class of groups (e.g., simple, perfect, nilpotent). Then one can easily construct automorphisms of products of groups from this class by permuting indices (with isomorphic projections) and considering automorphism of each coordinate individually. However, the natural question then arises: when does every automorphism of every product of groups from the class essentially decompose into the form described above? In general, we are interested in when classes of groups (or other structures) 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.