Hasse Weil zeta functions as dynamical zeta functions
代数学セミナー
開催期間
2024.4.2(火)
16:30 ~ 17:30
16:30 ~ 17:30
場所
IMIオーディトリアム(D-413)
講演者
Christopher Deninger (University of Münster)
概要
For any system of diophantine equations or more generally for any separated scheme X of finite type over the integers, there is a zeta function originating from the works of Hasse and Weil.
The Riemann zeta funtion is a special case. On the other hand, Ruelle introduced a zeta function for certain dynamical systems where the role of the primes is played by the periodic orbits.
In the talk we explain the construction of a dynamical system whose Ruelle zeta function is the Hasse Weil zeta function of X.