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1

1937-, Doran Robert S., Sally Paul, and Spice Loren 1981-, eds. Harmonic analysis on reductive, p-adic groups: AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA. Providence, R.I: American Mathematical Society, 2011.

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2

International Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. Providence, R.I: American Mathematical Society, 2011.

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3

1971-, Orlik Sascha, and Rapoport M. 1948-, eds. Period domains over finite and p-adic fields. Cambridge: Cambridge University Press, 2010.

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4

Germany) International Conference on p-adic Functional Analysis (13th 2014 Paderborn. Advances in non-Archimedean analysis: 13th International Conference on p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany. Edited by Glöckner Helge 1969 editor, Escassut Alain editor, and Shamseddine Khodr 1966 editor. Providence, Rhode Island: American Mathematical Society, 2016.

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5

Colmez, Pierre. Intégration sur les variétés p-adiques. Paris: Société Mathématique de France, 1998.

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6

Colmez, Pierre. Intégration sur les variétés p-adiques. Paris: Société Mathématique de France, 1998.

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7

Chuong, Nguyen Minh. Pseudodifferential Operators and Wavelets over Real and p-adic Fields. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2.

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8

Grob, Camilla. Die Entscheidbarkeit der Theorie der maximalen pseudo p-adisch abgeschlossenen Körper. Konstanz: Hartung-Gorre, 1987.

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9

International Conference on p-Adic and Non-Archimedean Analysis (10th 2008 Michigan State University). Advances in p-adic and non-Archimedean analysis: Tenth International Conference on p-Adic and Non-Archimedean Analysis, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. Edited by Berz M and Shamseddine Khodr 1966-. Providence, R.I: American Mathematical Society, 2010.

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10

M, Berz, and Shamseddine Khodr 1966-, eds. Advances in p-adic and non-Archimedean analysis: Tenth International Conference, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. Providence, R.I: American Mathematical Society, 2010.

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11

1944-, Diarra B., ed. Ultrametric functional analysis: Eighth International Conference on p-adic Functional Analysis, July 5-9, 2004, Université Blaise Pascal, Clermont-Ferrand, France. Providence, R.I: American Mathematical Society, 2005.

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12

Schmechta, Thorsten. Étale Überlagerungen von p-adischen Kreisscheiben. Münster: Mathematisches Institut der Universität Münster, 2001.

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13

Geisser, Thomas. A p-adic analogue of Beilinson's conjectures for Hecke characters of imaginary quadratic fields. [Münster: Mathematisches Institut der Universität Münster, 1995.

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14

Assem, Magdy. On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups. Providence, R.I: American Mathematical Society, 1998.

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15

Jantzen, Chris. Degenerate principal series for symplectic and odd-orthogonal groups. Providence, RI: American Mathematical Society, 1996.

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16

Waldspurger, Jean-Loup. Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés. Paris: Société mathématique de France, 2001.

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17

Jantzen, Chris. Degenerate principal series for symplectic groups. Providence, R.I: American Mathematical Society, 1993.

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18

On certain L-functions: Conference in honor of Freydoon Shahidi on certain L-functions, Purdue Univrsity, West Lafayette, Indiana, July 23-27, 2007. Providence, R.I: American Mathematical Society, 2011.

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19

Vytautas, Paskunas, ed. Towards a modulo p Langlands correspondence for GL2. Providence, R.I: American Mathematical Society, 2012.

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20

Espaces symétriques de Drinfeld. Paris: Société mathématique de France, 1996.

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21

Genestier, Alain. Espaces symétriques de Drinfeld. Paris: Société mathématique de France, 1996.

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22

Genestier, Alain. Espaces symétriques de Drinfeld. Paris: Société Mathématique de France, 1996.

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23

Regulators: Regulators III conference, July 12-22, 2010, Barcelona, Spain. Providence, R.I: American Mathematical Society, 2012.

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24

1975-, Champanerkar Abhijit, ed. Interactions between hyperbolic geometry, quantum topology, and number theory: Workshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New ork, NY. Providence, R.I: American Mathematical Society, 2011.

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25

Hales, Thomas Callister. The subregular germ of orbital integrals. Providence, R.I: American Mathematical Society, 1992.

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26

Burgos Gil, José I. (José Ignacio), 1962- editor, ed. Feynman amplitudes, periods, and motives: International research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matematicas, Madris, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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27

1965-, Aubry Yves, Ritzenthaler Christophe 1976-, Zykin Alexey 1984-, and Geocrypt Conference (2011 : Bastia, France), eds. Arithmetic, geometry, cryptography and coding theory: 13th Conference on Arithmetic, Geometry, Cryptography and Coding Theory, March 14-18, 2011, CIRM, Marseille, France : Geocrypt 2011, June 19-24, 2011, Bastia, France. Providence, R.I: American Mathematical Society, 2012.

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28

Chuong, Nguyen Minh. Pseudodifferential Operators and Wavelets over Real and p-adic Fields. Springer, 2018.

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29

Jantzen, Chris. Degenerate principal series for symplectic groups. 1990.

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30

(Editor), David Burns, Kevin Buzzard (Editor), and Jan Nekovár (Editor), eds. L-Functions and Galois Representations (London Mathematical Society Lecture Note Series). Cambridge University Press, 2008.

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31

1963-, Burns David, Buzzard Kevin, and Nekovář Jan, eds. L-functions and Galois representations. Cambridge, UK: Cambridge University Press, 2007.

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32

Advances In Ultrametric Analysis 12th International Conference On Padic Functional Analysis July 26 2012 University Of Manitoba Winnipeg Canada. American Mathematical Society, 2013.

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33

Gaitsgory, Dennis, and Jacob Lurie. Weil's Conjecture for Function Fields. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691182148.001.0001.

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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ℓ-adic sheaves. Using this theory, the authors articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors. Using a version of the Grothendieck–Lefschetz trace formula, the book shows that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.
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34

Abbes, Ahmed, and Michel Gros. Representations of the fundamental group and the torsor of deformations. Local study. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691170282.003.0002.

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This chapter focuses on representations of the fundamental group and the torsor of deformations. It considers the case of an affine scheme of a particular type, qualified also as small by Faltings. It introduces the notion of Dolbeault generalized representation and the companion notion of solvable Higgs module, and then constructs a natural equivalence between these two categories. It proves that this approach generalizes simultaneously Faltings' construction for small generalized representations and Hyodo's theory of p-adic variations of Hodge–Tate structures. The discussion covers the relevant notation and conventions, results on continuous cohomology of profinite groups, objects with group actions, logarithmic geometry lexicon, Faltings' almost purity theorem, Faltings extension, Galois cohomology, Fontaine p-adic infinitesimal thickenings, Higgs–Tate torsors and algebras, Dolbeault representations, and small representations. The chapter also describes the descent of small representations and applications and concludes with an analysis of Hodge–Tate representations.
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35

Hustwit, William P. Integration Now. University of North Carolina Press, 2019. http://dx.doi.org/10.5149/northcarolina/9781469648552.001.0001.

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Recovering the history of an often-ignored landmark Supreme Court case, William P. Hustwit assesses the significant role that Alexander v. Holmes (1969) played in integrating the South’s public schools. Although Brown v. Board of Education has rightly received the lion’s share of historical analysis, its ambiguous language for implementation led to more than a decade of delays and resistance by local and state governments. Alexander v. Holmes required “integration now,” and less than a year later, thousands of children were attending integrated schools. Hustwit traces the progression of the Alexander case to show how grassroots activists in Mississippi operated hand in glove with lawyers and judges involved in the litigation. By combining a narrative of the larger legal battle surrounding the case and the story of the local activists who pressed for change, Hustwit offers an innovative, well-researched account of a definitive legal decision that reaches from the cotton fields of Holmes County to the chambers of the Supreme Court in Washington.
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