Algebra/Topology Seminar

Speaker: Michael Groechenig

Title: Langlands duality and Hitchin systems

Abstract: The Hitchin system is a complex integrable system arising in the study of Higgs bundles and their moduli spaces. This talk will be devoted to explaining some recently established duality results, some of which are motivated by mathematical physics (mirror symmetry), and others by number theory (fundamental lemma). I will report on joint work with Wyss and Ziegler, and on work in progress with Shiyu Shen.