Tuesday, November 3
Adam Sikora, University at Buffalo
Given a topological space Y, the space of representations of π1(Y) into an algebraic group G, considered up to conjugation, is called the G-character variety of Y and it is denoted by XG(Y). If F is a closed surface, then XG(F) has a symplectic structure. Let M be a 3-dimensional manifold with boundary F. In this talk we will discuss the question whether the image of XG(M) in XG(F) is a Lagrangian submanifold. There is a significant amount of confusion concerning this issue in the literature. Along the way, we will survey some fundamental properties of character varieties.
Back to seminar home page.