2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190811We review new aspects of integrable systems discovered recently in N=2 supersymmetric gauge theories and their topologically twisted versions. The main topics are (i) an explicit construction of Whitham deformations of the Seiberg-Witten curves for classical gauge groups, (ii) its application to contact terms in the u-plane integral of topologically twisted theories, and (iii) a connection between the tau functions and the blowup formula in topologically twisted theories.25pages, latex2e; (v2) final version for publication, minor errors correctedHigh Energy Physics - TheoryAlgebraic GeometryExactly Solvable and Integrable Systemstext