Equivariant xed point theory and related topics

In the 1920s, algebraic topology began to develop partially due to the need for new topological techniques in solving problems in xed point theory. Indeed, the celebrated Lefschetz xed point theorem is a far reaching generalization of the well-known Brouwer xed point theorem. The eld of topological xed point theory continued to ourish through the 1940s during which much of the foundations was laid by the early pioneers such as S. Lefschetz, J. Nielsen, H. Hopf, K. Reidemeister, W. Franz, and F. Wecken among others. The main purpose of these lectures is to present the analogous topological xed point theory in the presence of a group action. Many topics in classical topological xed point theory have their equivariant analogs. This material will be presented in a series of four lectures as follows.