Two letters on quaternions and modular forms (mod p)

被引:43
作者
Serre, JP
机构
[1] The Hebrew University of Jerusalem, Jerusalem
关键词
D O I
10.1007/BF02761043
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present two letters of J-P. Serre to Tate and to Kazhdan. The first indicates an approach to modular forms (mod p) through quaternions. The second discusses the theory of representations of local and adelic groups associated to these quaternions in characteristic p.
引用
收藏
页码:281 / 299
页数:19
相关论文
共 14 条
[1]   IRREDUCIBLE MODULAR-REPRESENTATIONS OF GL2 OF A LOCAL-FIELD [J].
BARTHEL, L ;
LIVNE, R .
DUKE MATHEMATICAL JOURNAL, 1994, 75 (02) :261-292
[2]   MODULAR-REPRESENTATIONS OF GL(2) OF A LOCAL-FIELD - THE ORDINARY, UNRAMIFIED CASE [J].
BARTHEL, L ;
LIVNE, R .
JOURNAL OF NUMBER THEORY, 1995, 55 (01) :1-27
[3]  
Deligne P., 1973, Lecture Notes in Math., V349, P501
[4]   NONOPTIMAL LEVELS OF MOD L MODULAR-REPRESENTATIONS [J].
DIAMOND, F ;
TAYLOR, R .
INVENTIONES MATHEMATICAE, 1994, 115 (03) :435-462
[5]  
DIAMOND F, 1995, SER NUM THEORY, V1, P22
[6]   Integral hodge theory and congruences between modular forms [J].
Jordan, BW ;
Livne, R .
DUKE MATHEMATICAL JOURNAL, 1995, 80 (02) :419-484
[7]  
Katz N. M., 1973, Lecture Notes in Math., V350, P69
[8]  
Ribet K., 1989, ALGEBRAIC NUMBER THE, V17, P359
[9]  
RIBET K, 1994, P S PURE MATH, V55, P639
[10]   CONGRUENCES BETWEEN EISENSTEIN SERIES IN SUPERSINGULAR CASE [J].
ROBERT, G .
INVENTIONES MATHEMATICAE, 1980, 61 (02) :103-158