Adam Burchardt**Schauder fixed point, revisited**

During the seminar we are going to discuss the following generalization of the classical Schauder fixed point theorem due to R. Cauty:

*Let be a convex subset of a topological vector space . If is a continuous function such that is contained in a compact subset of , then has a fixed point.*

The talk is based on the following paper: R. Cauty, *Solution du problĂ¨me de point fixe de Schauder*, Fund. Math. **170** (2001), 231-246.