Two-dimensional local fields and two-dimensional Langlands correspondence

by Prof. Denis OSIPOV (IHES)

Tuesday Nov 26, 2013, 3:30 PM → 4:00 PM Europe/Paris

Amphitéâtre Léon Motchane (IHES)

In my talk I will discuss the possible hypothetical generalization of the Langlands correspondence for two-dimensional local fields and two-dimensional arithmetic schemes. A two-dimensional local field appear naturally from a point and a formal stalk of irreducible curve on a surface such that this curve contains the point. An example of two-dimensional local field on an algebraic surface is the field of iterated Laurent series.