PrerequisiteAlgebraic TopologyAbstractThis course will discuss configuration spaces from the views of homotopy theory. The course will consist of three parts. In the first part, we will discuss the motivations of studying configuration spaces in homotopy theory, including the configuration space models for iterated loop spaces, little cube operads, and Hopf invariants. In the second part of the...
AbstractThe study of the moduli spaces of algebraic curves and coherent sheaves, and their induced invariants over ambient complex kahler varieties of complex dimension 2, 3 and higher, has been a central source of focus for mathematicians in the past 50 years, due to their profound connections to geometry, topology, number theory as well as fruitful contributions to superstring theory. The cou...
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