Home Page for Haruzo HIDA


Haruzo HIDA
Professor of Mathematics

Department of Mathematics, University of California, Los Angeles, California 90095-1555
Office Phone: (310) 206-3382
e-mail address: < hida"at"math"dot"ucla"dot"edu >


Link to "UCLA Number Theory Group web page": [www.math.ucla.edu/~nbg]

International Conference on Recent Developments in Number Theory:
Selmer Groups, L-functions, and Galois Deformations
organized by D. Blasius, H. Hida, C. Khare, C. Skinner and E. Urban at UCLA for March 24th to 29th, 2008

COURSES

Ph.D. Students

Full List of Publication by H. Hida [pdf] and List of publications with review (subscription to MathSciNet necessary to view) [html]

Recent Publications

(Last 13 years, supported partially by various NSF grants as acknowledged in each article)

H. Hida, Control theorems of p-nearly ordinary cohomology groups for SL(n), in Bull. Soc. Math. Fr. 123 (1995), 425-475 [pdf] reprint from Numdam collection

H. Hida, On Selmer groups of adjoint modular Galois representations, in "Number Theory 1993-94", Paris, Lecture notes series of LMS 235 (1996), 89-132 [pdf]; Correction [pdf]

H. Hida, On the search of genuine p-adic modular L-functions for GL(n), Monograph, Memoires SMF 67 (1996) [dvi.gz]

H. Hida, J. Tilouine and E. Urban, Adjoint modular Galois representations and their Selmer groups, Proc. Natl. Acad. Sci. USA 94 (1997), 11121-11124 [pdf]

H. Hida and Y. Maeda, Non-abelian base change for totally real fields, Olga Taussky Todd memorial issue, Pacific Journal of Math. (1997), 189-217 [dvi.gz]

H. Hida, Global quadratic units and Hecke algebras, Documenta Math. 3 (1998), 273-284 [dvi] [pdf]

K. Doi, H. Hida and H. Ishii, Discriminant of Hecke fields and the twisted adjoint L-values for GL(2), Inventiones Math. 134 (1998), 547-577 [dvi][pdf]

H. Hida, Automorphic induction and Leopoldt type conjectures for GL(n), Asian J. Math. 2 (1998), 667--710 [dvi.gz]

H. Hida, Non-critical values of adjoint L-functions for SL(2), Proc. Symp. Pure Math. 66 (1999) Part I, 123-175 [dvi]

H. Hida, Modular Forms and Galois Cohomology, Cambridge Studies in advanced mathematics 69, 2000 (book),
[ Cambridge University Press web site on this book ], A list of misprints (as of March 27, 2007): [pdf]

H. Hida, Geometric Modular Forms and Elliptic Curves, World Scientific Publishing Co., Singapore, 2000 (book),
[ World Scientific web site on this book], A list of misprints (as of February 25, 2005): [dvi]

H. Hida, Adjoint Selmer groups as Iwasawa modules, Israel J. Math. 120 (2000), 361-427 [dvi.gz]

H. Hida, Control theorems for coherent sheaves on Shimura varieties of PEL-type, Journal of the Inst. of Math. Jussieu 1 (2002), 1-76 [dvi.gz]

H. Hida, Non-vanishing modulo p of Hecke L-values, In "Geometric Aspects of Dwork Theory" (A. Adolphson, F. Baldassarri, P. Berthelot, N. Katz and F. Loeser, eds.), pp.735-784, Walter de Gruyter, Berlin, 2004 [dvi]

H. Hida, p-Adic Automorphic Forms on Shimura Varieties, Springer Monographs in Mathematics, 2004 (book),
[ Springer web site on this book], A list of misprints (as of 6/26/07): [pdf]

H. Hida, Greenberg's L-invariants of adjoint square Galois representations, IMRN, Issue 59 (2004) 3177--3189, [dvi]:original preprint (slightly different from the published version)

H. Hida, p-Adic automorphic forms on reductive groups, (lecture notes at Poincare Institute, Paris, 3/29/00-6/14/00), Asterisque 298 (2005), 147--254, SMF, Preprint-version [dvi.gz].

H. Hida, The integral basis problem of Eichler, IMRN (2005) No.34 2101-2122, [dvi]:the version of 10/10/04

H. Hida, Non-vanishing modulo p of Hecke L-values and application, London Mathematical Society Lecture Note Series 320 (2007) 207-269, preprint-version: [dvi]: version of 7/16/04

H. Hida, CM periods, L-values and the CM main conjecture, in Hakuba Symposium Proceedings (2006) 13-28, preprint-version: [pdf]

H. Hida, Automorphism Groups of Shimura Varieties of PEL type, Documenta Math. vol.11 (2006) 25-56 (preprint version: [dvi.zip])

H. Hida, Hilbert Modular Forms and Iwasawa Theory, Oxford Mathematical Monographs, Oxford University Press, 2006
[ Oxford web site on this book] whose US site: [ Oxford web US-site on this book]. A list of misprints (as of 8/15/07): [pdf]

H. Hida, Anticyclotomic Main Conjectures, in the Coates anniversary volume from Documenta Math. Ducumenta Math. Volume Coates (2006), 465-532 (preprint version: [dvi])

H. Hida, L-invariant of p-adic L-functions, in "THE CONFERENCE ON L-FUNCTIONS" pp.17--53, 2007 (the notes of Lectures at Kyushu university and Harvard university, 2/06--5/06; [World Scientific web page on this book]), a preprint-version: [pdf],

H. Hida, L-invariants of Tate curves, to appear in the Tate anniversary volume from Pure and Applied Math Quarterly (a preprint version of 9/30/07 [pdf])

H. Hida, L-invariant of symmetric powers of Tate curves, to appear in Publication of RIMS (a preprint version of 9/26/07 [pdf])

H. Hida, On a generalization of the conjecture of Mazur-Tate-Teitelbaum, International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm102, 49 pages, doi:10.1093/imrn/rnm102 published on October 30, 2007 (reprint from Oxford site [pdf], abstract [htm], a preprint version of 7/3/2007 [pdf])

H. Hida, The Iwasawa mu-invariant of p-adic Hecke L-functions, to appear in Annals of Mathematics (version of 5/9/2008) [pdf]

Recent Preprints and Lecture Notes

(Last 10 years)

Click to download:

H. Hida, Modular Galois representations of "Neben" type, (a summary of Sections 5.1.1 and 5.2.1-2 from my book on geometric modular forms) [dvi] [pdf]

H. Hida, Control Theorems and Applications, Lectures at Tata institute of fundamental research (Version of 2/15/00) [dvi.gz]

H. Hida, Modularity problems of Q-motives and base-change, (four lectures at Strasbourg, France, 1/31-2/4/00) [dvi]

H. Hida, Reciprocity laws and prime decomposition, (Notes of a perspective colloquium talk at UCLA, 2/26/01) [dvi] [pdf]

H. Hida, A simple proof of non-vanishing modulo p of Dirichlet L-functions, Number Theory seminar talk at UC Irvine 5/8/03; [dvi]

H. Hida, CM periods and the anticyclotomic main conjecture, (Conference talk at Luminy, France, 6/18/02) talk manuscript:[dvi], abstract:[dvi]

H. Hida, Anticyclotomic main conjecture, (Conference talk at Banff, Canada, 8/17/03, a summary of the paper with the same title) [dvi]

H. Hida, L-invariants and p-ordinary families of Hilbert modular forms, (Conference talk at Banff, Canada, 12/15/03) [dvi]

H. Hida, Modular Iwasawa theory, (a series of lectures at Peking University, Beijing, China, 2/15-20/04) [dvi]

H. Hida, L-invariants of adjoint square Galois representations, (Talk at AMS regional meeting, special session, USC, 4/3/04) [dvi]

H. Hida, Non-vanishing modulo p of Values of L-functions,, Graduate perspective seminar talk 2/14/05, [dvi]

H. Hida, Extensions and the exceptional zero of the adjoint square L-functions, a conference talk on 7/4/05 at Strasbourg, France, [pdf]

H. Hida, Nonvanishing of L-values mod p, the notes of the two lectures at Tata institute of fundamental research 8/18-21/06 (a revised version of the lecture at the conference: "Automorphic Galois Representations, L-functions and Arithmetic" held at Columbia University; lecture delivered on 6/17-18/2006) [pdf]

H. Hida, Irreducibility of the Igusa tower, preprint (a new version of 4/13/07 with new references of development after the paper was originally written and some typo corrected: [pdf]) and the summary of the paper and Section 8.4 of my Springer book [pdf] (a talk at a Luminy conference on 7/18/06 with title "Irreducibility of the Siegel-Igusa tower"; a more detailed version of 11/5/07)

H. Hida, Serre's conjecture and base change for GL(2), preprint (a preliminary version of 3/15/08 (more details added): [pdf]) and a summary of the paper [pdf] (a colloquium talk at Columbia university on 4/19/06 and a number theory seminar talk at Boston University 4/24/06)

H. Hida, Taylor-Wiles patching lemmas a la Kisin, Lecture notes of two talks at Ghate's Number Theory seminar 5/14,16/2007 (version of 5/13/07 [pdf])

H. Hida, Control of nearly ordinary Hecke algebras, Lecture notes of a talk at Luminy Summer school on Serre's conjecture (delivered on 7/17/2007) (version of 7/18/07, minor error corrected [pdf])

H. Hida, Irreducibility of the elliptic Igusa tower, Lecture notes of a Number theory seminar talk on 10/31/07 (a more detailed version of 11/6/07 [pdf])

H. Hida, Unitary Shimura variety, the note of the second/third talk at the number theory seminar at UCLA (version of 11/13/07:[pdf] more typo corrected)

H. Hida, Unitary Igusa tower, the note of the fourth talk at the number theory seminar at UCLA (a new version of 1/6/07:[pdf])

H. Hida, L-invariant of tensor power of Hilbert modular forms, notes from a series of lectures at Sapporo summer school (Fall, 2006; version of 12/5/07: [pdf]), to appear from Hokkaido University Technical Report Series in Mathematics

H. Hida, Nearly ordinary deformations and the local splitting of ordinary Galois representations (pdf file removed. Hopefully it may come back later if we succeed in filling a gap)

H. Hida, Permutation representations and Langlands base change, lecture note of a talk at Northwestern university on 5/11/2008 (a version of 5/14/2008 [pdf])


Here is how to print a downloaded dvi.file using x-window terminal: Find the temporary file name, usually shown at the left shoulder of the xdvi window, like: "MO38A451C600E1AC0". Then use the command: "dvips -P(printername) /tmp/(the dvi file name above).dvi" You need to keep xdvi window open to do this (otherwise the file will be erased). If the above procedure does not work, use the command: "ps -auxww|grep xdvi" to find the file name. After finding the file name, do as above.

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