Moduli spaces in the Langlands program

Prof. Dr. Eva Viehmann, Universität Münster

The Langland program is a class of long-range conjectural relations between algebraic number theory and representation theory. For their realizations moduli spaces play an important role. In this talk I will present some essential general ideas for the construction of moduli spaces. Then I will describe the moduli space of G-bundles on the Fargues-Fontaine curve, one of the central objects for the geometrization of the Langland program.