My Works



I study ARITHMETIC GEOMETRY.
Especially, I am mainly interested in:

  • $p$-adic Hodge theory and related topics ($(phi,Gamma)$-modules, $p$-adic differential equations...),
  • Iwasawa theory and Bloch-Kato's Tamagawa number conjecture,
  • multiple zeta values, fundamental groups, and mixed Tate motives,

    and I am also interested in:

  • Shimura varieties, Drinfel'd modular varieties, moduli of shutkas, and (p-adic) Langlands correspondence,
  • modular lifting theorem (R=T),
  • algebraic cycles, mixed motives, and algebraic $K$-theory.

    Articles
    Reduction of two dimensional crystalline representations and Hypergeometric polynomials.
    In preparation.

    $p$-adic Hodge theory for open varieties.
    Comptes Rendus Math., volume 349 (2011), issues 21-22, 1127--1130.

    $p$-adic multiple zeta values, $p$-adic multiple $L$-values, and motivic Galois groups.
    to appear in the proceedings of GTAG 2010, Advenced Studies in Pure Math.

    $p$-adic Lefschetz (1,1) theorem in semistable case, and Picard number jumping locus.
    Math. Res. Let. 18 (2011), no. 01, 107--124.

    Applications of integral $p$-adic Hodge theory to automorphy lifting for unitary groups.
    (with Seidai Yasuda (RIMS, Kyoto)) preprint.

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces.
    Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010) 687--723.

    $p$-adic etale cohomology and crystalline cohomology for open varieties with semistable reduction.
    preprint. revising under referee's advises

    Presentations (reserch talks and survey talks)

    2012

    Etale Cohomology and Weil Conjecture, Part II. (15 hours in total)
    (??/??/2012 at Keio University)

    Reductions des representations cristallines en dimension deux et Polynomes Hypergeometriques. (60 minutes)
    (5/Mar/2012 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

    Reduction of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)
    (2/Mar/2012 at University of Nottingham, Number theory seminar)

    Reduction of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)
    (22/Feb/2012 at Imperial College of London, Number theory seminar)

    Wiles' proof of Fermat's Last Theorem for beginners. (50 minutes)
    (15/Feb/2012 at Kagoshima University, 7th Kagoshima Algebra-Analysis-Geometry Seminar)
    Kagoshima2012small.pdf

    2011

    Etale Cohomology and Weil Conjecture. (15 hours in total)
    (1-5/Nov/2011 at Keio University)

    Crystalline cohomology, Universal extension, and $p$-adic Hodge comparison for the $p$-divisible groups. (8 hours in total)
    (14-15/Jul/2011 at Hokkaido Univerisity, arithmetic geometry seminar)

    $p$-adic multiple zeta values valued in B_{crys}. (90 minutes)
    (23/Jun/2011 at Okayama Univerisity, Algebra seminar)

    Categories for the working arithmetic geometer. (60 minutes)
    (1/Jun/2011 at RIMS, Adventures of Categories -Applied Category Theory Colloquium-)

    Automorphy Lifting and integral $p$-adic Hodge theory. (60 minutes)
    (25/May/2011 at Keio University, Algebra Seminar)

    Automorphy Lifting and integral $p$-adic Hodge theory. (60 minutes)
    (22/Apr/2011 at Kyushu University, Algebra Seminar)

    local-global compatibility after Barnet-Lamb, Gee, Geraghty, and Taylor. (120 minutes)
    (20/Apr/2011 at Kyushu University, arithmetic geometry seminar)

    Le relevement d'automorphie et la theorie de Hodge $p$-adique integrale. (60 minutes)
    (18/Mar/2011 at Universite de Bordeaux, seminaire de theorie des nombres)

    Theorie de Hodge $p$-adique pour les varietes ouvertes. (60 minutes)
    (7/Mar/2011 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

    Le relevement d'automorphie et la theorie de Hodge $p$-adique integrale. (90 minutes)
    (3/Mar/2011 at Institut de Mathematiques de Jussieu, seminaire automorphe)

    Pure Mathematics and Applied Mathematics--from a personal point of view--. (50 minutes)
    (16/Feb/2011 at Kagoshima University, 6-th Kagoshima Algebra-Analysis-Geometry Seminar)

    Gross-Zagier formula. (18 hours in total)
    (4-6/Jan/2011 at Hokkaido University, arithmetic geometry seminar)

    2010

    On the jumping locus of the Picard number. (60 minutes)
    (17/Dec/2010 at University of Tokyo, International workshop on motives in Tokyo, part6)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (26/Nov/2010 at Osaka University, number theory seminar)

    global-local compatibility after Carayol. (120 minutes)
    (26/Nov/2010 at Osaka University, number theory preseminar)

    $p$-adic multiple zeta values and motivic Galois group. (60 minutes)
    (23/Oct/2010 at International Institute for Advances Studies, Galois-theoric Arithmetic Geometry)

    Introduction to irreducible admissible representations of GL2 of local fields. (250 minutes)
    (3/Aug/2010 at Osaka University, Workshop on arithmetics around GSp(4))

    Introduction to $p$-adic Hodge theory. (90 minutes)
    (13/Jul/2010 at Nagoya University, Arithmetic Geometry seminar)

    Motivic Galois groups and $p$-adic multiple zeta values. (60 minutes)
    (9/Feb/2010 at Durham University, Arithmetic Study Group)

    2009

    Motivic Galois groups and $p$-adic multiple zeta values. (60 minutes)
    (17/Dec/2009 at University of Tokyo, International workshop on motives part 5)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (13/May/2009 at Cambridge University, algebraic geometry seminar)

    $p$-adic multiple zeta values and motivic Galois groups of mixed Tate motives. (60 minutes)
    (12/May/2009 at Cambridge University, number theory seminar)

    $B_\mathrm{crys}$ lift of $p$-adic Beilinson conjecture. (90 minutes)
    (22/Apr/2009 at University of Nottingham, number theory seminar)

    Integral $p$-adic Hodge theory and automorphy lifting for unitary groups. (90 minutes)
    (14/Jan/2009 at University of Nottingham, number theory seminar)

    2008

    Bounds for the dimensions of the $p$-adic multiple zeta value space. (60 minutes)
    (8/Oct/2008 at Imperial College, number theory seminar)

    Kisin's modified Taylor-Wiles system. (60 minutes)
    (3/Oct/2008 at University of Nottingham, number theory seminar)

    Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) space. (90 minutes)
    (4/June/2008 at University of Nottingham, number theory seminar)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (17/Apr/2008 at University of Nottingham, the Nottingham-Poznan Number theory day)

    Proof of Serre's conjecture of level one case after Khare. (90 minutes)
    (20/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    First step of the induction of the proof of Serre's conjecture after Tate, Serre, and Schoof. (90 minutes)
    (20/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    Taylor-Wiles system for unitary groups after Clozel-Harris-Taylor I. (90 minutes)
    (19/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    Modularity lifting of residually reducible case after Skinner-Wiles. (90 minutes)
    (19/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    Modularity lifting for crystalline deformations of intermediate weights after Kisin. (90 minutes)
    (18/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    Modularity lifting for potentially Barsotti-Tate deformations after Kisin I. (90 minutes)
    (18/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)
    -> Proceding of "Recent Progressions on R=T --Sato-Tate conjecture and Serre's conjecture--"
    RT2_yamashita.pdf RT22_errata.pdf (in Japanese)

    Galois representations associated to Hilbert modular forms via congruence after Taylor, and Global-local compatibility after Carayol. (90 minutes)
    (17/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

    Review of Taylor-Wiles system. (90 minutes)
    (17/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)
    -> Proceding of "Recent Progressions on R=T --Sato-Tate conjecture and Serre's conjecture--"
    RT1_yamashita.pdf RT22_errata.pdf (in Japanese)

    2007

    $p$-adic multiple zeta value and motivic Galois group. (60 minutes)
    (30/Aug/2007 at Queen's University, Departmental Seminar)

    Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)
    (25/Jul/2007 at RIMS, Colloquium)

    An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives-2. (60 minutes)
    (6/Jul/2007 at University of Tokyo, Workshop on Motives III)

    An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives-1. (60 minutes)
    (3/Jul/2007 at University of Tokyo, Workshop on Motives III)

    An introduction to $p$-adic Hodge theory. (8 hours in total)
    (14-15/Jun/2007 at Hokkaido University, arithmetic geometry seminar)

    Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)
    (4/Jun/2007 at Tambara, p-adic aspects in arithmetic geometry)

    Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)
    (5/Mar/2007 at Hiroshima University, Motives, related topics, applications)

    $p$-adic Hodge theory/$p$-adic multiple zeta values. (Poster)
    (14/Feb/2007 at Seoul National University, the 4-th RIMS-SNU Joint Symposium)

    2006

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (21/Nov/2006 at RIMS, $p$-adic Arithmetic Geometry)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (11/Oct/2006 at RIMS, Colloquium)

    Reduced Power Operations 2. (60 minutes)
    (28/Sep/2006 at University of Tokyo, Workshop on Motives II)

    Reduced Power Operations 1. (60 minutes)
    (27/Sep/2006 at University of Tokyo, Workshop on Motives II)

    Review and Overview. (60 minutes)
    (25/Sep/2006 at University of Tokyo, Workshop on Motives II)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (6/Aug/2006 at University of Tokyo, 51-th Algebra Symposium)
    ->Proceeding of "51-th Algebra Symposium", p.111-p.131
    algsymp2006.dvi algsymp2006.pdf algsymp2006.ps (in Japanese)

    Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (55 minutes)
    (4/Jul/2006 at Limoges, le congres Iwasawa 2006)

    Bounds for the dimensions of the $p$-adic multiple zeta value (and multiple $L$-value) spaces. (60 minutes)
    (26/Apr/2006 at IHES, seminaire de mathematique)

    $p$-adic Hodge theory for open varieties (without Faltings' almost etale theory). (60 minutes)
    (7/Apr/2006 at Universite Paris 13, seminaire de geometrie arithmetique)

    Upper bounds for dimensions of the space of $p$-adic multiple zeta values (and multiple $L$-values). (60 minutes)
    (27/Mar/2006 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

    $p$-adic Hodge theory for open varieties (without Faltings' almost etale theory). (60 minutes)
    (1/Feb/2006 at IHES, seminaire de mathematique)

    2005

    the category of mixed Tate motives over the ring of integers. (60 minutes)
    (21/Dec/2005 at University of Tokyo, Workshop on Motives I)

    Introduction to Voevodsky's category of mixed motives 1. (60 minutes)
    (19/Dec/2005 at University of Tokyo, Workshop on Motives I)

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)
    (25/Nov/2005 at University of Tokyo, Tokyo Seoul Conference Arithmetic and Algebraic Geometry)

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (30 minutes)
    (23/Aug/2005 at Hakui, Number Theory Summer Seminar 2005)
    hamahatasan.dvi hamahatasan.pdf hamahatasan.ps

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)
    (18/May/2005 at Okayama University, Okayama Workshop on Arithmetic and Geometry

    2004

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (50 minutes)
    (6/Dec/2004 at RIMS, Algebraic Number Theory and Related Topics)
    -> RIMS kokyu-roku (2005) No.1451, p.37-41.
    morishitasan.dvi morishitasan.pdf morishitasan.ps

    $p$-adic multiple zeta values, $p$-adic multiple $L$-values, and dimension conjectures. (120 minutes)
    (11/Nov/2004 at RIMS, Study of Multiple Zeta Values)
    -> RIMS kokyu-roku (2007) No.1549, p.153-168.
    ohnosan.dvi ohnosan.pdf ohnosan.ps (in Japanese)

    Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)
    (23/Jul/2004 at Hiroshima University, 3-rd Number Theory Symposium)

    $p$-adic Hodge theory for open varieties. (60 minutes)
    (6/Mar/2004 at Okayama University, 9-th Conference for Young Researchers)
    okayama.dvi okayama.ps okayama.pdf (in Japanese)

    2003

    $p$-adic Hodge theory for open varieties. (15 minutes)
    (18/Aug/2003 at Sendai, Number Theory Summer Seminar 2003)
    yoinojikan.dvi yoinojikan.ps yoinojikan.pdf (in Japanese)

    $p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)
    (9/Apr/2003 at Nagoya University, $p$-adic Methods in Number Theory)

    $p$-adic etale cohomology and crystalline cohomology for open varieties. (45 minutes)
    (14/Mar/2003 at Waseda University, Algebraic Number Theory Symposium)
    ->Proceeding of "Waseda Algebraic Number Theory Symposium"
    waseda.dvi wadeda.ps waseda.pdf

    2002

    $p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)
    (5/Dec/2002 at RIMS, Algebraic Number Theory and Related Topics)
    -> RIMS kyokyu-roku (2003) No.1324 p.130-141.
    kyoto.dvi kyoto.ps kyoto.pdf

    $p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)
    (8/Oct/2002 at Hokkaido University, Hodge Theory and Algebraic Geometry)
    hokudai.dvi hokudai.ps hokudai.pdf

    2001

    Introduction to $(phi,Gamma)$-modules. (60 minutes)
    (6/Dec/2001 at Nagoya University, $p$-adic Representations and $p$-adic Differential Equations)
    phigamma.dvi phigamma.ps phigamma.pdf (in Japanese)

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