Consortium Distinguished Lecture Series
Dennis Gaitsgory
Geometric Langlands in its Various Contexts
Dr. Dennis Gaitsgory
Harvard University
Monday, November 8, 2021, 10:00am (Miami)
Via Zoom
Click here to view video
Abstract: We will start these series by reviewing the general framework of geometric Langlands correspondence, and state the main conjectures in the de Rham and Betti settings. We will also recall V. Lafforgue's theorem about the spectral decomposition in the classical Langlands over function fields. We will then proceed to the formulation of "restricted" Langlands correspondence, which unifies the different contexts. We will state the restricted version of the geometric Langlands conjecture, and explain its relation with the classical Langlands conjecture via the operation of categorical trace.
Restricted Geometric Langlands as a Common Denominator
Dr. Dennis Gaitsgory
Harvard University
Wednesday, November 10, 2021, 10:00am (Miami)
Via Zoom
Click here to view video
Abstract: We will start these series by reviewing the general framework of geometric Langlands correspondence, and state the main conjectures in the de Rham and Betti settings. We will also recall V. Lafforgue's theorem about the spectral decomposition in the classical Langlands over function fields. We will then proceed to the formulation of "restricted" Langlands correspondence, which unifies the different contexts. We will state the restricted version of the geometric Langlands conjecture, and explain its relation with the classical Langlands conjecture via the operation of categorical trace.
