Mathematics

One may have known the Brouwer fixed-point theorem from basic courses in Topology or Real Analysis, and found that theories concerning the existence of fixed-points are amazing. In this talk we will start however with an well-known example (Floyd-Richardson) regarding a group action on the disc with no fixed point. But then we will use the second part of the talk to bring up some fixed-point theorems, so one can appreciate this example: it maybe essentially the only one. In the middle of the second part, we will give out the Lefschetz fixed-point theorem: a much generalized version of Brouwer's.