Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 2018.11.27, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Character varieties."
Speaker: Anton Mellit (Universität Wien)
Abstract: Character varieties are classical objects. They parametrize representations of the fundamental group of a given Riemann surface (possibly with punctures). I am going to give a basic introduction to the subject, in particular to define the symplectic form and explain the non-abelian Hodge correspondence, which connects character varieties to Hitchin's integrable systems. Then I will explain recent developments, such as P=W conjecture, and the curious hard Lefschetz property.