Abstract
This is the written version of my talk at the Geometric Dynamics Days 2017 (February 3–4) at the RUB in Bochum. I would like to thank Felix Schlenk for improvements and for his enormous help in typing a barely readable manuscript. I shall outline the history and the original proof of the V. Arnold conjecture on fixed points of Hamiltonian maps for the special case of the torus, leading to a sketch of the proof of general symplectic manifolds and to the Floer homology.
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