It is quite surprising to see that Nonlinear Analysis rests, in a striking and simple way, on basic ideas from Topology. Methods from fixed point theory and degree theory are such examples. We plan to give a survey of these topological methods and comment on the celebrated Mountain Pass Theorem. Specific examples in Analysis will be discussed in the setting of global invertibility problems.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Sara Miller