DiscriptionThe lectures will be an introdution to different aspects of singularities of algebraic varieties motivated by open problems such as the monodromy conjecture, the Nash problem, the Zariski multiplicity conjecture, the Arc-Floer conjecture.Prerequisite:algebraic geometry (varieties, schemes, sheaves, cohomology)Target Audience:Graduate students and advanced undergraduate studentsTeachi...
Introduction:This is a mini lecture on 4-manifold theory. It will cover topics in 4-dimensional topology including: handlebodies of smooth 4-manifolds, constructing exotic 4-manifolds and exotic surfaces, fundamental pieces of 4-manifolds (corks, anticorks and plugs) , slice genus and shake slice genus. Several important conjectures will also be discussed