Langlands correspondence for GL2 over function fields

Abstract: The lectures aim to give an overview of the global Langlands correspondence for GL2 over function fields of curves over finite fields due to V. Drinfeld. We begin by recalling local and global class field theory and their geometric analogues. We then give an adelic description of the moduli stack of vector bundles on curves, and automorphic forms and representations. We will then describe the global Langlands correspondence and give the ideas involved in Drinfeld's geometric proof of the correspondence in the unramified case.