The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) and the Institute of the Mathematical Sciences of the Americas Consortium (IMSAC)
Consortium Distinguished Lecture Series
November 8 and 10, 2021, 5:00 pm (EEST, Sofia time)
IMSA-Miami, via Zoom
Prof. Gaitsgory is known for his work on the geometric Langlands program.
Among his achievements are the proofs of the geometric Langlands conjecture for finite fields (joint with E. Frenkel and K. Vilonen) and for the field of complex numbers.
Prof. Gaitsgory was awarded with the Prize of the European Mathematical Society (2000) and the AMS Chevalley Prize (2018).
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.