Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.
Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.
Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.
Covers constructing characters and lifting them to analytic functions on Cp, emphasizing the importance of correction terms for convergence.
