Realization Calculus

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1 @article{DeligneLusztig1976,
2   author = {Deligne, Pierre and Lusztig, George},
3   title = {Representations of reductive groups over finite fields},
4   journal = {Annals of Mathematics},
5   series = {2},
6   volume = {103},
7   number = {1},
8   year = {1976},
9   pages = {103--161},
10   doi = {10.2307/1971021}
11 }
12 
13 @article{Henniart2000,
14   author = {Henniart, Guy},
15   title = {Une preuve simple des conjectures de {L}anglands pour {GL}(n) sur un corps p adique},
16   journal = {Inventiones Mathematicae},
17   volume = {139},
18   number = {2},
19   year = {2000},
20   pages = {439--455},
21   doi = {10.1007/s002220050012}
22 }
23 
24 @book{HarrisTaylor2001,
25   author = {Harris, Michael and Taylor, Richard},
26   title = {The geometry and cohomology of some simple {Shimura} varieties},
27   series = {Annals of Mathematics Studies},
28   volume = {151},
29   year = {2001},
30   publisher = {Princeton University Press},
31   address = {Princeton}
32 }
33 
34 @book{BushnellHenniart2006,
35   author = {Bushnell, Colin J. and Henniart, Guy},
36   title = {The Local {Langlands} Conjecture for {GL(2)}},
37   publisher = {Springer},
38   series = {Grundlehren der mathematischen Wissenschaften},
39   volume = {335},
40   address = {Berlin},
41   year = {2006}
42 }
43 
44 @article{BushnellHenniart2005ET1,
45   author = {Bushnell, Colin J. and Henniart, Guy},
46   title = {The essentially tame local {Langlands} correspondence. {I}},
47   journal = {Journal of the American Mathematical Society},
48   volume = {18},
49   number = {3},
50   year = {2005},
51   pages = {685--710}
52 }
53 
54 @article{BushnellHenniart2005ET2,
55   author = {Bushnell, Colin J. and Henniart, Guy},
56   title = {The essentially tame local {Langlands} correspondence. {II}. Totally ramified representations},
57   journal = {Compositio Mathematica},
58   volume = {141},
59   number = {4},
60   year = {2005},
61   pages = {979--1011}
62 }
63 
64 @article{BushnellHenniart2010ET3,
65   author = {Bushnell, Colin J. and Henniart, Guy},
66   title = {The essentially tame local {Langlands} correspondence. {III}. The general case},
67   journal = {Proceedings of the London Mathematical Society},
68   series = {3},
69   volume = {101},
70   number = {2},
71   year = {2010},
72   pages = {497--553},
73   doi = {10.1112/plms/pdp053}
74 }
75 
76 @article{BushnellHenniart2017,
77   author = {Bushnell, Colin J. and Henniart, Guy},
78   title = {Higher ramification and the local {Langlands} correspondence},
79   journal = {Annals of Mathematics},
80   series = {2},
81   volume = {185},
82   number = {3},
83   year = {2017},
84   pages = {919--955},
85   doi = {10.4007/annals.2017.185.3.5}
86 }
87 
88 @article{Henniart1993,
89   author = {Henniart, Guy},
90   title = {Caract\'erisation de la correspondance de {Langlands} locale par les facteurs {$\varepsilon$} de paires},
91   journal = {Inventiones Mathematicae},
92   volume = {113},
93   number = {2},
94   year = {1993},
95   pages = {339--350}
96 }
97 
98 @book{BushnellKutzko1993,
99   author = {Bushnell, Colin J. and Kutzko, Philip C.},
100   title = {The Admissible Dual of {GL(N)} via Compact Open Subgroups},
101   publisher = {Princeton University Press},
102   series = {Annals of Mathematics Studies},
103   volume = {129},
104   address = {Princeton},
105   year = {1993}
106 }
107 
108 @article{Dotto2022,
109   author = {Dotto, Andrea},
110   title = {Canonical beta extensions},
111   journal = {Documenta Mathematica},
112   volume = {27},
113   year = {2022},
114   pages = {295--313}
115 }
116 
117 @article{Blondel2012,
118   author = {Blondel, Corinne},
119   title = {Repr\'esentation de {Weil} et beta extensions},
120   journal = {Annales de l'Institut Fourier},
121   volume = {62},
122   number = {4},
123   year = {2012},
124   pages = {1319--1366},
125   doi = {10.5802/aif.2724}
126 }
127 
128 @article{Gerardin1977,
129   author = {G\'erardin, Paul},
130   title = {{Weil} representations associated to finite fields},
131   journal = {Journal of Algebra},
132   volume = {46},
133   number = {1},
134   year = {1977},
135   pages = {54--101},
136   doi = {10.1016/0021-8693(77)90394-5}
137 }
138 
139 @article{Neuhauser2002,
140   author = {Neuhauser, Markus},
141   title = {An explicit construction of the metaplectic representation over a finite field},
142   journal = {Journal of Lie Theory},
143   volume = {12},
144   number = {1},
145   year = {2002},
146   pages = {15--30}
147 }
148 
149 @article{Prasad2009,
150   author = {Prasad, Amritanshu},
151   title = {On character values and decomposition of the {Weil} representation associated to a finite abelian group},
152   journal = {The Journal of Analysis},
153   volume = {17},
154   year = {2009},
155   pages = {73--85}
156 }
157 
158 @book{Karpilovsky1985,
159   author = {Karpilovsky, Gregory},
160   title = {Projective Representations of Finite Groups},
161   publisher = {Marcel Dekker},
162   series = {Monographs and Textbooks in Pure and Applied Mathematics},
163   volume = {94},
164   address = {New York},
165   year = {1985}
166 }
167 
168 @article{GurevichHadani2007,
169   author = {Gurevich, Shamgar and Hadani, Ronny},
170   title = {The geometric {Weil} representation},
171   journal = {Selecta Mathematica. New Series},
172   volume = {13},
173   number = {3},
174   year = {2007},
175   pages = {465--481}
176 }
177 
178 @book{MilnorHusemoller1973,
179   author = {Milnor, John and Husemoller, Dale},
180   title = {Symmetric Bilinear Forms},
181   publisher = {Springer},
182   series = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
183   volume = {73},
184   address = {Berlin},
185   year = {1973}
186 }
187 
188 @book{Serre1977,
189   author = {Serre, Jean-Pierre},
190   title = {Linear Representations of Finite Groups},
191   publisher = {Springer},
192   series = {Graduate Texts in Mathematics},
193   volume = {42},
194   address = {New York},
195   year = {1977}
196 }
197 
198 @incollection{Serre1967,
199   author = {Serre, Jean-Pierre},
200   title = {Local Class Field Theory},
201   booktitle = {Algebraic Number Theory},
202   editor = {Cassels, J. W. S. and Fr\"ohlich, A.},
203   publisher = {Academic Press},
204   address = {London},
205   year = {1967},
206   pages = {128--161}
207 }
208 
209 @incollection{Tate1979,
210   author = {Tate, John},
211   title = {Number theoretic background},
212   booktitle = {Automorphic Forms, Representations and {L}-Functions, Part 2},
213   editor = {Borel, Armand and Casselman, William},
214   publisher = {American Mathematical Society},
215   series = {Proceedings of Symposia in Pure Mathematics},
216   volume = {33},
217   part = {2},
218   year = {1979},
219   pages = {3--26}
220 }
221 
222 @article{DavenportHasse1935,
223   author = {Davenport, Harold and Hasse, Helmut},
224   title = {Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen F\"allen},
225   journal = {Journal f\"ur die reine und angewandte Mathematik},
226   volume = {172},
227   year = {1935},
228   pages = {151--182}
229 }
230 
231 @book{BerndtEvansWilliams1998,
232   author = {Berndt, Bruce C. and Evans, Ronald J. and Williams, Kenneth S.},
233   title = {{Gauss} and {Jacobi} Sums},
234   publisher = {Wiley},
235   series = {Canadian Mathematical Society Series of Monographs and Advanced Texts},
236   address = {New York},
237   year = {1998}
238 }
239 
240 @article{Mackey1952,
241   author = {Mackey, George W.},
242   title = {Induced representations of locally compact groups. {I}},
243   journal = {Annals of Mathematics},
244   series = {2},
245   volume = {55},
246   number = {1},
247   year = {1952},
248   pages = {101--139}
249 }
250 
251 @book{Isaacs1976,
252   author = {Isaacs, I. Martin},
253   title = {Character Theory of Finite Groups},
254   publisher = {Academic Press},
255   address = {New York},
256   year = {1976}
257 }
258 
259 @book{Brown1982,
260   author = {Brown, Kenneth S.},
261   title = {Cohomology of Groups},
262   publisher = {Springer},
263   series = {Graduate Texts in Mathematics},
264   volume = {87},
265   address = {New York},
266   year = {1982}
267 }
268 
269 @article{BushnellHenniart1996,
270   author = {Bushnell, Colin J. and Henniart, Guy},
271   title = {Local tame lifting for {GL(N)}. {I}. Simple characters},
272   journal = {Publications Math\'ematiques de l'IH\'ES},
273   volume = {83},
274   year = {1996},
275   pages = {105--233},
276   doi = {10.1007/BF02698646}
277 }
278 
279 @book{BushnellHenniart1999,
280   author = {Bushnell, Colin J. and Henniart, Guy},
281   title = {Local tame lifting for {GL(N)}. {II}. Wildly ramified supercuspidals},
282   publisher = {Soci\'et\'e Math\'ematique de France},
283   series = {Ast\'erisque},
284   volume = {254},
285   year = {1999}
286 }
287 
288 
289 @book{HenniartLemaire2011,
290   author = {Henniart, Guy and Lemaire, Bertrand},
291   title = {Changement de base et induction automorphe pour {$\mathrm{GL}_n$} en caract{\'e}ristique non nulle},
292   series = {M{\'e}moires de la Soci{\'e}t{\'e} Math{\'e}matique de France},
293   number = {124},
294   publisher = {Soci{\'e}t{\'e} math{\'e}matique de France},
295   year = {2011},
296   doi = {10.24033/msmf.436},
297   url = {https://www.numdam.org/item/MSMF_2011_2_124__1_0/}
298 }

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