Shimuravarietäten und Gerben
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Shimura
MathReview:
895287
Editorial comments: Yihang Zhu has written an English translation, which is posted here:
IAS:
School of Mathematics:
Robert P. Langlands
The renormalization fixed point as a mathematical object
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Mathematical Physics
MathReview:
2181552
Author's comments: This paper was prepared for a meeting in Bialowieza that I was unable at the last minute to attend. It has appeared in the proceedings of that conference, Twenty years of Bialowieza: A mathematical anthology. The paper was intended as a beginning.
IAS:
School of Mathematics:
A prologue to Functoriality and Reciprocity: Part 1
Submitted by huguenin on
Last Name:
Langlands
Type:
article
Keywords:
Beyond Endoscopy
Author's comments: There is as yet no text with the title Functoriality and Reciprocity. Begun as preparations for a lecture, the text appearing here was, and remains, a first attempt to come to terms with the two topics of the title, an attempt that is perhaps doomed by its nature and by my years to remain provisional.
IAS:
Letter to Lang
Submitted by admin on
Year:
December 5, 1970
Type:
article
Keywords:
Shimura
Author's comments: It is likely that these two letters to Serge Lang, like my earlier letter to Weil on problems in the theory of automorphic forms, were never read with any attention by the recipient. Moreover, the earlier letter is a model of clarity compared with these two. Besides, there is, in retrospect, no reason to think that either Lang or Weil had the necessary background in the theory of semisimple groups and certainly not in the theory of their infinite-dimensional representations.
IAS:
School of Mathematics:
Letter to Gee
Submitted by admin on
Year:
2007
Type:
article
Keywords:
Shimura
Author's comments: The Galois representations attached in the context of Shimura varieties to certain automorphic representations usually correspond---under the correspondence of the ``Langlands program''---not to the representation to which they are attached but to some twist of it by a central character. There is no reason---logical or aesthetical---that it should be otherwise. Nevertheless a casual search of the literature will probably reveal that a number of authors were troubled by it and attempted---on their own initiative---to revise the definitions.
IAS:
School of Mathematics:
Singularités et transfert
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Beyond Endoscopy
MathReview:
3117742
Author's comments: This text is provisional from a mathematical point of view, but it may be some time before the obstacles described in the concluding sections are overcome. Serious progress has been made by Ali Altuğ.
IAS:
School of Mathematics:
Algebraische Zyklen auf Hilbert-Blumenthal-Flächen
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Shimura
MathReview:
833013
IAS:
School of Mathematics:
Dualität bei endlichen Modellen der Perkolation
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Percolation
MathReview:
1244993
IAS:
School of Mathematics:
Aspects combinatoires des équations de Bethe
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Mathematical Physics
MathReview:
1479679
Author's comments: There are two papers on the Bethe Ansatz, but the work is far from complete. I have always wanted to return not only to the algebraic geometrical arguments initiated in the second paper, which seem to me of considerable intrinsic mathematical interest as algebraic geometry, but also to the notion of Wellenkomplex and the Puiseux expansions introduced briefly at the end of the first paper. So far, I have not found the time.
IAS:
School of Mathematics:
On the zeta-functions of some simple Shimura varieties
Submitted by admin on
Last Name:
Langlands
Type:
article
Keywords:
Shimura
MathReview:
553157
IAS:
School of Mathematics: