Home Page for Haruzo HIDA

Forthcoming mini-Conference:

• FRG/RTG mini-Conference Organized by D. Blasius, H. Hida, C. Khare and G. Schaeffer at UCLA from May 10 to May 12 in 2013.

  p-adic Modular Forms, L-functions, and Galois representations

Past Conferences/Workshops:

• FRG/RTG workshop organized by K. Prassana (local organizer), D. Blasius, H. Hida, C. Khare, C. Skinner and E. Urban at University of Michigan from May 17th to 22th, 2011:

  L-functions, Galois Representations and Iwasawa theory

• FRG/RTG workshop organized by D. Blasius, H. Hida, C. Khare and E. Urban at UCLA from June 14th to 20th, 2010:

  Modular/geometric Iwasawa theory and p-adic L-functions

• International FRG conference orgainized by D. Blasius, H. Hida, C. Khare, C. Skinner and E. Urban at UCLA from March 24 to March 29, 2008:

  Selmer Groups, L-functions, and Galois Deformations

COURSES

• Math 111 Spring 2013
• Math 115a Winter 2013
• Math 207b Winter 2013
• Math 207a Fall 2012
• Math 207b Winter 2012
• Math 207c Spring 2011
• Math 207a Fall 2009
• Math 205c Spring 2009

Ph.D. Students

• Koji Kitagawa, 1991 (1963-2007)
• Brad Wilson, 1993
• Chandrashekhar Khare, 1995 Khare's homepage
• Eknath Ghate, 1996 Ghate's homepage
• Sheena Cho, 1999, the thesis of Sheena Cho is a part of her joint work with V. Vatsal. Here is Vatsal's web site which contains the preprint: [Vatsal's home page]
• Ami Fischman, 2001, his paper (which is a part of his thesis) [Fischman's home page]
• Hsin-Tai Wu, 2001,
• Cristian Virdol, 2005, his papers (including his thesis) [Virdol's homepage]
• Hae-Sang Sun, 2007, his papers (including his thesis) [Sun's home page]
• Craig Citro, 2009, his papers [Citro's home page]
• Lin Chen, 2009, (passed away untimely in 2009 after graduation), his papers [Chen's home page]
• Miljan Brakočević, 2011, his papers [Miljan's home page]

H. Hida, Elementary Theory of L-functions and Eisenstein series, 1993, Cambridge University Press, Book [Cambridge web page]

H. Hida, Modular Forms and Galois Cohomology, Cambridge Studies in advanced mathematics 69, 2000,
[ Cambridge University Press web site on this book ], A list of misprints (as of March 30, 2009): [pdf]

H. Hida, Geometric Modular Forms and Elliptic Curves, World Scientific Publishing Co., Singapore, 2000,
[ World Scientific web site on this book], A list of misprints (as of September 16, 2011): [pdf]

H. Hida, Geometric Modular Forms and Elliptic Curves, Second Expanded Edition, World Scientific Publishing Co., Singapore, 2011,
[World Scientific web site on this book] (Chapter 1 is free to download from this site)

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

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 10/1/11): [pdf]

H. Hida, Local indecomposability of Tate modules of non CM abelian varieties with real multiplication, J. Amer. Math. Soc. 26 (2013), 853--877, a version of 12/30/2012: [pdf]

H. Hida, Image of Lambda-adic Galois representations modulo p, Inventiones Math. (DOI 10.1007/s00222-012-0439-7), 25 pages [pdf], a preprint version of 11/18/2012; a link to Springer site [html]

H.Hida, A finiteness property of abelian varieties with potentially ordinary good reduction, J. Amer. Math. Soc. 25 (2012), 813-826, a preprint version [pdf], an offprint pdf file [pdf], a slide talk at Yale conference (2/23/2012):[pdf]

H. Hida, Vanishing of the mu-Invariant of p-Adic Hecke L-functions, Compositio Math. 147 (2011), 1151-1178, reprint [pdf], a preprint version of 9/7/2010 just before publication [pdf], a slide of a talk at IAS in March 2011 [pdf]

H. Hida, Hecke fields of analytic families of modular forms, J. Amer. Math. Soc. 24 (2011), 51-80, reprint from AMS: [pdf], preprint version of 7/18/2010 [pdf], a summary of the result [BC-MIT talk] on 10/20/09, a slide [pdf].

H. Hida, Constancy of adjoint L-invariant, Journal of Number Theory 131 (2011) 1331-1346, doi:10.1016/j.jnt.2011.02.001, [pdf] (reprint from JNT), [pdf] (a preprint version of 1/25/2011)

H.Hida, Irreducibility of the Igusa tower over unitary Shimura varieties, Clay Mathematics Proceedings 13 (2011), 187-203 (reprint: [pdf], a preprint version of 1/20/08: [pdf], the three UCLA lecture notes on the subject: [pdf],[pdf],[pdf], the lectures given in October-November 2007)

H. Hida, Central critical values of modular Hecke L-function, Kyoto Journal of Mathematics, 50 (2010), 777-826 (reprint [pdf], a version of 4/22/2010 typo corrected [pdf])

H. Hida, The Iwasawa mu-invariant of p-adic Hecke L-functions, Annals of Mathematics, 172 (2010) 41-137 (version of 2/12/2010 an abstract added at the request of Annals) [pdf], a link to the Annals webpage containing the reprint pdf file [Annals]; two lecture notes at Paris-Nord/Kyoto university, one 2-hour and another 1.5 hour on the vanishing [pdf], a slide of a talk at IAS in March 2011 [pdf]

H. Hida, Quadratic exercises in Iwasawa theory, International Mathematics Research Notices 2009 (2009), 912-952, doi:10.1093/imrn/rnn151 (reprint from Oxford site [pdf], [htm], abstract [htm], a preprint version of 11/9/08 [pdf], Inchon lecture note [pdf])

H. Hida, Irreducibility of the Igusa tower, Acta Mathematica Sinica, English Series, 25 (2009), 1-20 (pdf reprint:[pdf], [Springerlink]) 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), Pure and Applied Math Quarterly, 5 No.1 (2009), 81-125 the published version [pdf] (a preprint version of 3/15/08: [pdf]), a talk on a similar topic at a conference in Northwestern university with some result obtained after the paper was written (a version of 5/14/2008 [pdf])

H. Hida, L-invariant of symmetric powers of Tate curves, Publication of RIMS 45 (2009) No.1, 1-24 (a link to RIMS web site containing the reprint pdf file [pdf], reprint from Euclid site [pdf], a preprint version of 9/26/07 [pdf])

H. Hida, L-invariants of Tate curves, Pure and Applied Math Quarterly 5 (2009) No.4, 1343-1384 (reprint from PAMQ [pdf] and a preprint version of 9/30/07 [pdf])

H. Hida, L-invariant of tensor power of Hilbert modular forms, (preprint version of 8/14/08:[pdf]), Hokkaido University Technical Report Series in Mathematics 137 (2008), 150-172

Click to download:

H. Hida, Hecke fields of Hilbert modular analytic families, preprint 2012, 31 pages, a version of 3/3/2013, [pdf]

H. Hida, Big Galois representations and p-adic L-functions, preprint, 2011, 50 pages, a version of 11/16/2012:[pdf] (many typos are corrected), a slide for Paris talk [pdf].

H. Hida, CM components of the big Hecke algebra, A series of lectures at Hokkaido University (12/13-12/17/2010): [pdf]

H. Hida, Arithmetic invariant and geometry, A series of lectures at Kyoto University (10/2-12/10/2010): Lecture 1:[pdf] Lecture 2:[pdf], Lecture 3:[pdf], Lecture 4:[pdf]

H. Hida, Arithmetic invariant and Shimura varieties, Six lectures at Poincare Institute in 2010 Winter (1st, 2nd lectures on 1/22, 3rd, 4th lectures on 1/29 and the last two lectures on 2/5): Six lectures in one file with unified reference and a table of contents [pdf] (a version of March 15, 2010, some too optimistic statements corrected).

H. Hida, Lambda-adic p-divisible groups, I: [pdf], II: [pdf], two lectures at CRM (Montreal) in September 2005

H. Hida, Two lectures on Metaplectic groups and Siegel-Weil formulas, in 2001 at Ritsumeikan university (Japan): [pdf],[pdf] (revised version of 4/30/2007)

H. Hida, Five lectures at Tata institute 7/30-8/7/2008, No.1[pdf], No.2[pdf], No.3[pdf], No.4[pdf], No.5 (Colloquium talk) [pdf].

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])

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

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

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

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

H. Hida, L-invariants and p-ordinary families of Hilbert modular forms, (Conference talk at Banff, Canada, 12/15/03) [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, 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, Reciprocity laws and prime decomposition, (Notes of a perspective colloquium talk at UCLA, 2/26/01) [dvi] [pdf]

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

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

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]