Riemann Zeta FunctionExplores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.
Introduction to Quantum ChaosCovers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Field of Rational FunctionsExplores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
Algebraic Varieties and MorphismsIntroduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Terminologie conventionsCovers the terminology and conventions related to the limit of a function and introduces algebraic and transcendental functions.