Abstract:  Stark-Heegner points were first defined by Henri Darmon (McGill U.) about twenty years ago. These are p-adic rational points on elliptic curves defined over the rational numbers and they have consequences towards the Birch and Swinnerton-Dyer conjecture. In this seminar, I will report on the recent generalisations and progress in this theory, in particular focusing on the construction of Stark-Heegner cycles for automorphic forms for the group GL(2).