Lectures related to P-adic analysis

Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.

Covers integration on H_pxH and arithmetic topics, focusing on the Hensel Lemma and the process of finding R and S such that R.S-P=0.

Explores the definition of Q_p and the completion of Q,1(p) to form Qp.

Covers the equidistribution of representations of integers by ternary forms and the conductor of X.

Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.

Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

Covers the p-adic expansion theorem and Hensel's Lemma in Qp.