Shin Hattori
last updated: Apr. 18, 2019

NOTICE: website URL changed to new one

research interests: Galois representations, finite flat group schemes, integral p-adic Hodge theory, ramification, modular forms

news

  • I'll be away during the following periods:
    • May 19--22, 2019. (Apr. 10, 2019)

conferences

  • A list (in Japanese) of upcoming conferences of my interest is here.
  • Winter school on p-adic Hodge theory was held during Jan. 12--16, 2015 at KIAS in Seoul, Korea. I'd like to thank all the participants for thier enthusiasm. (Jan. 19, 2015)
  • East Asia Number Theory Conference 2014 was held during Jan. 20--24, 2014 at Fukuoka. I'd like to thank all the participants for their participation and enthusiasm. (Jan. 27, 2014)
  • Symposium on ARITHMETIC GEOMETRY had been held during Oct. 19--21 at Fukuoka. I'd like to thank all the participants for coming. (Oct. 21, 2012)
  • The workshop "Industrious Number Theory" had been held during Dec. 4-5, 2009. I would like to thank all the speakers and participants. The website is here.

preprints

P-adic continuous families of Drinfeld eigenforms of finite slope. pdf, abs revised on Apr. 18, 2019 (uploaded (4/18))

Dimension variation of Gouvêa-Mazur type for Drinfeld cuspforms of level Gamma_1(t). pdf, slide, abs revised on Jun. 21, 2018 (uploaded (6/21))

On the compactification of the Drinfeld modular curve of level Gamma_1^Delta(n). pdf, abs revised on Nov. 17, 2017 (uploaded (11/17))

Duality of Drinfeld modules and P-adic properties of Drinfeld modular forms. pdf, old, abs revised on Nov. 28, 2018 (Theorem 1.1 and 4.15 corrected/other minor revisions (11/28)//§4 split out to another paper (11/17)//Minor revision (9/8)//Lemma 4.11 corrected/other minor revisions (8/21)//Lemmata 3.3, 4.11 and 5.4 corrected/§4.5 added and corrected/other minor revisions (7/31)//uploaded (6/23))

On a properness of the Hilbert eigenvariety at integral weights: the case of quadratic residue fields. pdf, old, abs revised on Jun. 23, 2016 (Lemma 3.8 and Prop 4.19 corrected (6/23)//§3 split out to another paper (3/16)//Title modified/minor revision (1/5)//Some cases of locally algebraic weights added (12/24)//Remark 3.13 corrected/minor revision (12/14)//uploaded (12/8))

Integral p-adic Hodge theory and ramification of crystalline representations. pdf, old, abs revised on Jan. 24, 2018 (attribution to Abrashkin at page 22 made clear/mention to unwritten notes in the volume omitted at page 18 (1/24)//refereed version/title changed/minor revisions (10/23))

publications

Irreducible components of the eigencurve of finite degree are finite over the weight space (with James Newton), to appear in J. Reine Angew. Math. pdf, abs revised on Aug. 1, 2018 (refereed version)

On canonical subgroups of Hilbert-Blumenthal abelian varieties, J. Théor. Nombres Bordeaux 30 (2018), no. 2, 355--391. pdf, abs revised on Apr. 8, 2017 (refereed version)

Ramification theory and perfectoid spaces -- a survey, RIMS Kokyuroku Bessatsu 53 (2015) 47--63. pdf, abs revised on Oct. 6, 2014 (refereed version)

On lower ramification subgroups and canonical subgroups, Algebra & Number Theory 8 (2014) 303--330. pdf, abs revised on Nov. 18, 2012 (refereed version)

Ramification theory and perfectoid spaces, Compos. Math. 150 (2014) 798--834. pdf, old, abs revised on Sep 28, 2013. These pdf files are different from the final publication available here.

Canonical subgroups via Breuil-Kisin modules for p=2, J. of Number Theory 137 (2014), 142--159. pdf, old2, old, abs revised on Nov. 5, 2013 (refereed version). The final version is available at ScienceDirect.

Canonical subgroups via Breuil-Kisin modules, Math. Z. 274 (2013), 933--953. pdf, abs, errata revised on Oct. 3, 2012 (refereed version). The final publication is available at springerlink.com.

Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields, J. of Number Theory 132 (2012), 2084--2102. pdf, old2, old, abs revised on Feb. 14, 2012 (refereed version)

Ramification correspondence of finite flat group schemes and canonical subgroups -- a survey, RIMS Kokyuroku Bessatsu 32 (2012), 3--18. pdf, abs revised on Mar. 28, 2011

On a ramification bound of torsion semi-stable representations over a local field, J. of Number theory 129 (2009), 2474--2503. abs

Tame characters and ramification of finite flat group schemes, J. of Number theory 128 (2008), 1091--1108. dvi, ps, pdf, abs revised on May 9, 2007

Ramification and tame characters of finite flat group schemes of rank two, RIMS Kokyuroku Bessatsu 4 (2007), 153--164. abs

Ramification of finite flat group schemes over a local field, J. of Number Theory 118 (2006), 145--154. abs, errata

notes/unpublished articles

Table of t-adic slopes on Drinfeld modular forms pdf, txt, PARI, old, abs revised on Jun. 21, 2018 (normalization changed (6/21)//errors corrected (5/9))

On a ramification bound of semi-stable mod p representations over a local field dvi, ps, pdf, abs revised on Jul. 7, 2008 (Bound improved)

Hasse-Arf theorem for F_p-vector space schemes of rank two dvi, ps, pdf, abs revised on May 1, 2007

articles in Japanese

Drinfeld加群の双対性とP進Drinfeld保型形式 pdf, abs revised on Sep. 28, 2017

Coleman-Mazur固有値曲線の次数有限な既約成分は重さ空間上有限 pdf, abs revised on Jun. 22, 2017

アーベル多様体の標準部分群とヒルベルト固有値多様体 pdf, abs revised on Dec. 31, 2016

有限平坦群スキームの分類とガロア表現の枠付き変形I pdf, abs revised on Jan. 7, 2009

分岐理論と有限平坦Galois 表現 pdf, abs revised on Jan. 7, 2008

Notes for seminars on "ARGOS seminar on intersections of modular correspondences" abs revised on Dec. 15, 2007

teaching

平成30年度~現在(東京都市大学)
平成20~29年度(九州大学)

e-mail: hattoris____tcu.ac.jp (replace ____ with @) このメールアドレスへの特定電子メールの送信を拒否します.
office: Room 1412 of the Bldg. 1, Setagaya Campus