Лекция «Unimodular Polynomials: Many Problems, Some Solutions»

Во вторник, 28 мая, 15:50, в а. 211 состоится открытая лекция профессора Дж. Бирнса (США, Prometheus inc.) под названием «Unimodular Polynomials: Many Problems, Some Solutions».

Лекция будет читаться на английском языке, приглашаются все желающие.

Аннотация лекции:

A question which naturally arises in both pure and applied mathematical analysis is: How close to constant can the modulus of a polynomial be on the unit circle if the coefficients of the polynomial all have the same modulus? While this question was indirectly considered by Gauss, the formal study of such polynomials was initiated by Hardy and furthered by Littlewood, Erdos and many others.  I concentrate on the purely mathematical side of this coin, giving some historical highlights, discussing some hard-won partial solutions, and pointing out many open problems.