The Vinberg Distinguished Lecture Series Dec 7, 2021 David Kazhdan Hebrew University, Israel On the Langlands correspondence for curves over local fields Abstract On results and (mostly) conjectures on automorphic functions on moduli spaces of 2-dimensional vector bundles on curves over local fields A video of this lecture is available below. Vinberg Distinguished Lecture Scientific Committee Nikolay Bogachev University of Toronto, Canada Sasha Kolpakov University of Neuchâtel, Switzerland Alex Kontorovich Rutgers University, USA