Plenary Lecture

Langlands Program, Related Representation and Applications

Professor Nikolaj Glazunov
Department of Electronics
National Aviation University

Abstract: R. Langlands conjectured that some symmetric power L-functions extend to an entire function and coincide with certain automorphic L-functions. In our talk we will consider in the Langlands framework results on relations between motivic Galois group of a field and the ring of adèles of the field. Applications to Analytic Number Theory, Calabi-Yau type varieties and cryptography will be presented.

Brief Biography of the Speaker: