Maciej Denkowsk: On the Nullstellensatz for c-holomorphic functions with algebraic graphs

jeudi 17 sept. 2020, 11:00 → 12:00 Europe/Paris

001 (batiment I)

C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry. They share many properties with regular functions but do not have a sufficiently good structure to be dealt with with purely algebraic or differential methods. The approach has to be more geometric. During the talk we shall concentrate on some effective Nullstellensätze in the class of c-holomorphic functions with algebraic graphs.