AbstractSiegel modular forms generalize the usual elliptic modular forms and show up in many parts of mathematics: algebraic geometry, number theory and even in mathematical physics. But they are difficult to construct. We show that invariant theory enables us to efficiently construct all (vector valued) Siegel modular forms of degree two and three from from certain basic modular forms provided...
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...