Michael Groechenig discusses a new proof of Ngô's Geometric Stabilisation Theorem, which implies the Fundamental Lemma, this is joint work with Dimitri Wyss and Paul Ziegler. This is a statement which relates the cohomology of Hitchin fibres for a quasi-split reductive group scheme G to the cohomology of Hitchin fibres for the endoscopy groups Hκ. Photo by Drew Lesiuczok/University of Toronto Mississauga. Study