**Title:** Primes and Riemann's zeta

**Speaker:** Professor Wojciech Gajda

**Speaker Info:** Poznan University, POLAND

**Brief Description:**

**Special Note**:

**Abstract:**

Some people say that the Riemann conjecture is the most important question in the contemporary mathematics. In the talk I will try to illustrate the importance of Riemann's zeta function discussing a proof of the Prime Number Theorem, which says that the nth consequtive prime number roughly equals nlogn. Details of the proof (this proof is due to Newman and Zagier) should be accesible to anyone who passed (or is attending this quarter) the first course in complex analysis. Since the talk is meant for grad students, the tenured and tenure-tracked colleagues are less welcomed.If the audience decides so, I'll continue next week and discuss a bit: the present state of knowledge on Riemann conjecture, some of the consequencies of the RC for number theory, and two recent programs due to A.Connes and to C.Deninger how to attack the Conjecture.

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