Abstract: I shall give a detailed construction of the BPST instantons.

Abstract: Continuing the previous talk, I will present some properties of (-1)- and 0-types; propositions and sets.

Abstract: We introduce polynomially convex subsets of the n-dimensional Euclidean complex space and expose some of their key properties. We discuss the presence of an analytic structure in the polynomially convex hull of a compact set, Rossi's local maximum principle and Oka's characterization theorem. This talk is given in fulfillment of the requirements for Part II of the PhD comprehensive examination.

Abstract: We introduce polynomially convex subsets of the n-dimensional Euclidean complex space and expose some of their key properties. We discuss the presence of an analytic structure in the polynomially convex hull of a compact set, Rossi's local maximum principle and Oka's characterization theorem.