Canonical extensions, irregularities, and the Swan conductor

2000 ◽  
Vol 316 (1) ◽  
pp. 19-37 ◽  
Author(s):  
Richard Crew
Keyword(s):  
Swan Conductor ◽  
Canonical Extensions

scholarly journals On the Notion of Conductor in the Local Geometric Langlands Correspondence

2017 ◽  
Vol 69 (1) ◽  
pp. 107-129
Author(s):  
Masoud Kamgarpour
Keyword(s):  
Irreducible Representation ◽  
Galois Representation ◽  
Loop Group ◽  
Langlands Correspondence ◽  
Categorical Representation ◽  
Swan Conductor ◽  
Geometric Langlands ◽  
Meromorphic Connection ◽  
Local Langlands Correspondence ◽  
Geometric Analogue

AbstractUnder the local Langlands correspondence, the conductor of an irreducible representation of Gln(F) is greater than the Swan conductor of the corresponding Galois representation. In this paper, we establish the geometric analogue of this statement by showing that the conductor of a categorical representation of the loop group is greater than the irregularity of the corresponding meromorphic connection.

Canonical extensions

2017 ◽  
pp. 1-100
Author(s):  
Steven Givant
Keyword(s):  
Canonical Extensions

scholarly journals Canonical extensions and ultraproducts of polarities

2018 ◽  
Vol 79 (4) ◽  
Author(s):  
Robert Goldblatt
Keyword(s):  
Canonical Extensions

scholarly journals Arithmetic 𝒟-modules on the unit disk. With an appendix by Shigeki Matsuda

2011 ◽  
Vol 148 (1) ◽  
pp. 227-268 ◽  
Author(s):  
Richard Crew
Keyword(s):  
Unit Disk ◽  
Valuation Ring ◽  
Discrete Valuation Ring ◽  
Mixed Characteristic ◽  
Complete Discrete Valuation Ring ◽  
Canonical Extensions

AbstractLet 𝒱 be a complete discrete valuation ring of mixed characteristic. We classify arithmetic 𝒟-modules on Spf(𝒱[[t]]) up to certain kind of ‘analytic isomorphism’. This result is used to construct canonical extensions (in the sense of Katz and Gabber) for objects of this category.

Canonical Extensions and Profinite Completions of Semilattices and Lattices

Order ◽  
2013 ◽  
Vol 31 (2) ◽  
pp. 189-216 ◽  
Author(s):  
M. J. Gouveia ◽  
H. A. Priestley
Keyword(s):  
Canonical Extensions ◽  
Profinite Completions

scholarly journals Canonical extensions and canonicity via dcpo presentations

2011 ◽  
Vol 412 (25) ◽  
pp. 2714-2723 ◽  
Author(s):  
Mai Gehrke ◽  
Jacob Vosmaer
Keyword(s):  
Canonical Extensions

Boolean Topological Distributive Lattices and Canonical Extensions

2007 ◽  
Vol 15 (3) ◽  
pp. 225-241 ◽  
Author(s):  
B. A. Davey ◽  
M. Haviar ◽  
H. A. Priestley
Keyword(s):  
Distributive Lattices ◽  
Canonical Extensions

scholarly journals TiRS graphs and TiRS frames: a new setting for duals of canonical extensions

2015 ◽  
Vol 74 (1-2) ◽  
pp. 123-138 ◽  
Author(s):  
Andrew P. K. Craig ◽  
Maria J. Gouveia ◽  
Miroslav Haviar
Keyword(s):  
Canonical Extensions

scholarly journals Canonical extensions for congruential logics with the deduction theorem

2010 ◽  
Vol 161 (12) ◽  
pp. 1502-1519 ◽  
Author(s):  
Mai Gehrke ◽  
Ramon Jansana ◽  
Alessandra Palmigiano
Keyword(s):  
Deduction Theorem ◽  
Canonical Extensions
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