Abstract：In the space O(C,C) of entire functions, equipped with the open-compact topology, an element is called universal if its translation orbit is dense. It is hypercyclic w.r.t some translation operator if its orbit under this operator is dense. It is fully hypercyclic if it is simultaneously hypercyclic to all non-trivial translations in all directions.Universal entire functions are trans...
AbstractThis talk is based on joint work with K.Coulembier, P.Etingof, D.Tubbenhauer. Let G be any group and let V be a finite dimensional representation of G over some field. We consider tensor powers of V and their decompositions into indecomposable summands. The main question which will be addressed in this talk: what can we say about count (e.g. total number) of these indecomposable summand...
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