Description:In 1994, Witten [12] introduced a non-linear partial differential equation on a 4-manifold, called the Seiberg-Witten equations today. This PDE has brought significant progresses in 4-dimensional topology and geometry. In this series of lectures, I shall start with the basics of Seiberg-Witten theory and survey some of rather recent developments in Seiberg-Witten theory.The first le...
AbstractI will report on some recent developments in the theory of p-adic differential equations. The talk will be an invitation to the theory and I'll try to maintain it accessible to a large audience.SpeakerResearch Interests:☑ Arithmetic Geometry☑ p-Adic Cohomologies - Rigid Cohomology - de Rham Cohomology☑ p-Adic Differential Equations on Berkovich Spaces☑ p-Adic Analysis - p-adic local...