At the weekly seminar on 19.06.2019, at 10.00, Academician of Bulgarian Institute of Mathematics and Information Blaqovest Khrista Sendov will deliver a report on the topic of «Extremal problems for complex polynomials ». The report is devoted to solve an extremal problems for complex polynomials the notion of locus of a polynomial has been introduced. For this purpose, the concept of the apolarity of two polynomials and the classical Grace theorem for apolar polynomials are used. A number of properties of locus are being studied. As an application, an analog of Rolle theorem is given for complex polynomials.

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