TY - JOUR
T1 - Analytic Langlands correspondence for PGL2 on P1 with parabolic structures over local fields
AU - Etingof, Pavel
AU - Frenkel, Edward
AU - Kazhdan, David
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/8
Y1 - 2022/8
N2 - We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group PGL2. We establish most of our conjectures in this case.
AB - We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group PGL2. We establish most of our conjectures in this case.
UR - http://www.scopus.com/inward/record.url?scp=85130472078&partnerID=8YFLogxK
U2 - 10.1007/s00039-022-00603-w
DO - 10.1007/s00039-022-00603-w
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AN - SCOPUS:85130472078
SN - 1016-443X
VL - 32
SP - 725
EP - 831
JO - Geometric and Functional Analysis
JF - Geometric and Functional Analysis
IS - 4
ER -