Mathematical Research Seminar
Mathematical research seminar is organized by the departments of Mathematics of two members of the University - UP FAMNIT and Andrej Marušič Institute (UP IAM), every Monday from October to June.
You are cordially invited to attend the lectures.
Datum in ura / Date and time: 20.4.26
(15:00-16:00)
Predavalnica / Location: FAMNIT-MP1
Predavatelj / Lecturer: Olivier Ramaré (CNRS and Institut de Mathématiques de Marseille)
Naslov / Title: Prime Numbers: Emergence and Relevance of Bilinear Decompositions
Vsebina / Abstract:
This talk will retrace the main steps of the modern theory of prime numbers and in particular how the combinatorial sieve combined with the Dirichlet series theory to give birth to the modern representation of the primes via a linear combination of terms, some of which are "linear", while other ones are "bilinear". This will lead us to the recent developments of Green & Tao, Mauduit & Rivat, Tao, Helfgott, and Bourgain, Sarnak & Ziegler, and to some of mines.
