scholarly journals Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields

2011 ◽  
Vol 2011 (653) ◽  
pp. 1-45 ◽  
Author(s):  
Fabian Januszewski
Keyword(s):  
Number Fields ◽  
Reductive Groups ◽  
Modular Symbols

scholarly journals Corrigendum: On the cuspidal cohomology of S-arithmetic subgroups of reductive groups over number fields

2021 ◽  
Vol 157 (6) ◽  
pp. 1207-1210
Author(s):  
Jean-Pierre Labesse ◽  
Joachim Schwermer
Keyword(s):  
Algebraic Group ◽  
Number Fields ◽  
Reductive Groups ◽  
Cartan Type ◽  
Semisimple Algebraic Group ◽  
Cuspidal Cohomology

The aim of this corrigendum is to correct an error in Corollary 10.7 to Theorem 10.6, one of the main results in the paper ‘On the cuspidal cohomology of $S$ -arithmetic subgroups of reductive groups over number fields’. This makes necessary a thorough investigation of the conditions under which a Cartan-type automorphism exists on $G_1=\mathrm {Res}_{\mathbb {C}/\mathbb {R}}G_0$ , where $G_0$ is a connected semisimple algebraic group defined over $\mathbb {R}$ .

scholarly journals Cutting towers of number fields

2021 ◽  
Author(s):  
Farshid Hajir ◽  
Christian Maire ◽  
Ravi Ramakrishna
Keyword(s):  
Number Fields

scholarly journals STEENROD OPERATIONS ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC STACKS

2021 ◽  
pp. 1-48
Author(s):  
Federico Scavia
Keyword(s):  
Finite Groups ◽  
Reductive Groups ◽  
Orthogonal Groups ◽  
De Rham Cohomology ◽  
Algebraic Stacks ◽  
Steenrod Operations ◽  
De Rham

Abstract Building upon work of Epstein, May and Drury, we define and investigate the mod p Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$ . We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which p is not a torsion prime and (special) orthogonal groups when $p=2$ .

scholarly journals Theta series and number fields: theorems and experiments

2021 ◽  
Author(s):  
Adrian Barquero-Sanchez ◽  
Guillermo Mantilla-Soler ◽  
Nathan C. Ryan
Keyword(s):  
Theta Series ◽  
Number Fields
Sign in / Sign up

Export Citation Format

Share Document