AbstractA major achievement in the Langlands program is Arthur's 2013 book on the endoscopic classification of square-integrable automorphic forms of (quasi-split) classical groups. In the first lecture, I will summarize the main results of this book and some key ingredients of their proofs. In particular, some of the ingredients were at that point in time anticipated but not yet fully written ...
AbstractWe will introduce the general twistor space picture for moduli spaces of connections deforming to moduli spaces of Higgs bundles, initiated by Hitchin for his hyperkähler structure. The Deligne-Hitchin twistor space construction has a property analogous to weight 1 Hodge structures.This may be extended to twistor structures of other weights. In the case of moduli theory of connections o...