Math

Benim tanıdığım Cahit Arf (recollections of a year in Turkey with Cahit Arf)

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Matematik Dünyası

Year: 
2003
Type: 
article
Keywords: 
Miscellaneous

Author's comments: This note contains a few recollections of a year I spent in Turkey in 1967/68, where my office was adjacent to that of Cahit Arf, known, among other things, for the Hasse-Arf theorem and the Arf invariant. It was he who referred me---as I was first attempting to define local \(\epsilon\)-factors for Artin \(L\)-functions---to the paper of Hasse published in the Acta Salmanticensia. Hasse's paper was my first introduction to the methods that had already been introduced for calculating and comparing the \(\epsilon\)-factors.

School of Mathematics: 

Aspects combinatoires des équations de Bethe

Author: 
Robert P. Langlands
Yvan Saint-Aubin
Last Name: 
Langlands
Journal
Journal: 

Advances in Mathematical Sciences: CRM's 25 Years

Year: 
1991
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.

School of Mathematics: 

Letter to Lang

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.

School of Mathematics: 

Pages