Kostyantyn Iusenko
Academy of Science, Ukraine
Representations of partially ordered sets in unitary spaces (recent results and open problems).
Abstract: The representation theory of partially ordered sets (posets) in linear vector spaces has been studied extensively and found to be of great importance for studying different algebraical objects. We try to develop similar theory over unitary spaces. Direct transfer of the definitions leads to *-wild problems almost from the beginning. Hence we consider those representations that satisfy extra conditions (motivation to study such representations comes from certain moduli problems). The aim of the talk is to give a survey of recent results and open problems concerning to this topic.