______c ourses
______p apers
[pdf ] On the action of algebraic correspondences on weight spectral sequences (arXiv:1109.2208 , Sep. 2011).
[pdf ] On non-abelian Lubin-Tate theory via vanishing cycles , Advanced Studies in Pure Mathematics , 58 (2010), 361-402 (math.NT/0404375 , Jan. 2004 / revised Oct. 2009).
[pdf ] Local class field theory via Lubin-Tate theory , Annales de la Faculte des Sciences de Toulouse , Ser. 6, 17 -2 (2008), 411-438 (math.NT/0606108 , Oct. 2005 / revised Sep. 2008).
[pdf ] Compatibility of local and global Langlands correspondences (with Richard Taylor ) , J. Amer. Math. Soc. , 20 -2 (2007), 467-493 (math.NT/0412357 , Dec. 2004 / revised April 2005).
[pdf ] Abelian etale coverings of modular curves over local fields (math.NT/0405426 , Jan. 2002 / revised May 2004).
[pdf ] Finiteness theorems in the class field theory of varieties over local fields , J. of Number Theory , 101 -1 (2003), 138-150.
[amazon ] The fundamental theorem of Galois theory (in Japanese) , Gendai-Shisou , 39 -5 (April 2011), 70-90. Notes: [pdf ]
[amazon ] Outlook on the Langlands conjecture (in Japanese) , Mathematical Sciences , 49 -1 (January 2011), 46-53.
[amazon ] Developments in non-abelian class field theory (in Japanese) , Sugaku-Seminar , 49 -3 (March 2010), 24-29.
[amazon ] Teiji Takagi and the enigma of class field theory (in Japanese) , Gendai-Shisou , 37 -15 (Dec. 2009), 130-141.
[amazon ] Class field theory and modern mathematics (in Japanese) , Gendai-Shisou , 36 -14 (Nov. 2008), 138-153.
[amazon ] Sugaku-no-Tanoshimi 2008 (in Japanese), Nippon-Hyoron-sha, 2008.
(articles: "Introduction to class field theory" , "Introduction to automorphic forms" , "The Langlands correspondence and Shimura varieties" , and "Compatible system of Galois reprsentations and its modularity" .)
[pdf ] On modern mathematics (in Japanese) , a talk at Junior & Senior High School at Komaba, University of Tsukuba, Tokyo, 2011.
[pdf ] Weight spectral sequence and non-abelian Lubin-Tate theory (abstract for Algebraische Zahlentheorie , Oberwolfach), June 2007.
[pdf ] Introduction to Lubin-Tate theory (in Japanese) , Oct. 2005 (revised June 2006).
[pdf (scan) ] Introduction to Shimura Varieties of PEL-type (student seminar at Kyoto Univ.), Aug. 2005.
[pdf ] Global and local Langlands correspondences for GL_n (Notes for the 50th Symposium on Algebra, Tokushima Univ.), Aug. 2005.
[pdf ] Compatibility of local and global Langlands correspondences (abstract for Algebraische Zahlentheorie , Oberwolfach), June 2005.
[pdf (scan) ] Arithmetic Geometry of Shimura Varieties (lectures at Kyoto Univ. with T. Ito), April 2005.
[pdf ] Non-abelian Lubin-Tate theory and Deligne-Lusztig theory (abstract for Number Theory Symposium , Waseda Univ.), March 2004.
[pdf ] An introduction to Deligne-Lusztig theory , Dec. 2002 (revised May 2004).
______v isitors/ t alks
(let me know if you are interested in visiting Cambridge UK)
Recent talks: University of Warwick (March 2012) / Rigid Geometry and the Local Langlands Correspondence (KIAS, Jan. 2012) / Junior & Senior High School at Komaba, University of Tsukuba (December 2011) / London Number Theory Seminar (November 2011) / WaNDS Number Theory Meeting (Sheffield, September 2011) / Summer school on Construction of Galois Representations (Kurashiki, August 2011) / University of Nottingham (May 2011) / Algebraic Number Theory and Related Topics (Kyoto RIMS, Dec. 2010) / Galois Representations in Arithmetic and Geometry (Goa, Aug. 2010) / Summer school on Automorphic Representations of GL(n) (Kurashiki, July 2010) / Postech Summer School 2010: Congruences of Modular forms and Galois representations - Notes [pdf ] (Pohang, July 2010) / Workshop on Arithmetic Geometry and Related Topics (Taipei, July 2010) / Kyoto University: Colloquim , Lecture series (June 2010) / University of Cambridge (Jan. 2010) / Workshop on Arithmetic Geometry in Kanazawa (Nov. 2009) / University of Chicago: Algebraic Geometry Seminar (Oct. 2009) / Northwestern University (Oct. 2009)
Talks 2006-09: 17th Number Theory Summer School (Japanese) (Kyoto, Aug. 2009) / Workshop on Automorphic Representations, Geometry, and Arithmetic (Taipei, July 2009) / Kyoto University (June 2009) / University of Chicago: Representation Theory Seminar (May 2009) / Boston College (April 2009) / University of Cambridge (Jan. 2009) / Workshop on Shimura Varieties, Automorphic Representations and Related Topics (Kyoto, Nov. 2008) / Conference on Arithmetic Algebraic Geometry (Bonn, Oct. 2008) / MIT (Sep. 2008) / Southern California Number Theory Day (Caltech, March 2008) / Caltech (March 2008) / Hokkaido University (Jan. 2008) / University of Nottingham (Nov. 2007) / University of Cambridge: CMS Colloquia - Notes [pdf (scan) ] (Oct. 2007) / Cohomology of nonarchimedean period spaces and related moduli spaces (MPI Bonn, Sep. 2007) / Conference of Ramification and Vanishing Cycles (Tokyo, Sep. 2007) / Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo, Sep. 2007) / Algebraische Zahlentheorie (Oberwolfach, June 2007) / Japan-France conference on Automorphic Endoscopy (Luminy, June 2007) / Mini-workshop on Automorphic Representations and Shimura Varieties (Kyoto, May 2007) / MIT: STAGE (March 2007) / Harvard University: Number Theory Seminar - Notes [pdf (scan) ] (March 2007) / University of Cambridge (Feb. 2007) / Workshop on Sato-Tate conjecture (Japanese) (Tokyo Insitute of Technology, Jan. 2007) / Workshop on the Representation Theory of Reductive Algebraic Groups (Ottawa, Jan. 2007) / Hokkaido University - Notes [pdf (scan) ] (Jan. 2007) / Algebraic Number Theory and Related Topics (Kyoto RIMS, Dec. 2006) / Survey on potential modularity , in: Modularity for GL(2) and Beyond (MSRI, Oct. 2006) / University of Cambridge (Oct. 2006) / Princeton University (April 2006) / Harvard University: Number Theory Seminar (March 2006)
______e vents
(does not mean that I'll be there)
Higgs bundles on p-adic curves and representation theory , Mainz, Sep. 24-28, 2012.
Workshop on the arithmetic geometry of Shimura varieties, representation theory, and related topics , Sapporo, July 18-22, 2012.
Rational points and algebraic cycles , EPFL, Lausanne, Jul - Dec 2012.
p-adic Modular Forms and Arithmetic (in honor of Haruzo Hida) , June 18-23, 2012.
Conference on Galois covers and deformations , June 25-29, 2012.
Char-p and p-adic geometry , Mainz, June 4-8, 2012.
Arithmetic Geometry week in Tokyo , Tokyo, June 4-8, 2012.
Towards a Local Proof of the Local Langlands Correspondence , Chicago, May 12-13, 2012.
Mini-workshop on arithmetic geometry and related topics , Kyoto, April 9-11, 2012.
Workshop on Cohomology of Shimura varieties: Arithmetic Aspects and the Construction of Galois representations , Fields Institute, March 19-23, 2012.
Galois Representations, Shimura Varieties, and Automorphic Forms
(a workshop for graduate students and postdoctoral fellows) , Fields Institute, March 12-16, 2012.
Thematic Program on Galois Representations , Fields Institute, Jan-Jun 2012.
Arithmetic, Motives and Moduli spaces , IHP, Jan. 9-13, 2012.
Postech Winter School 2012: The Birch and Swinnerton-Dyer conjecture , Postech, Korea, Jan. 6-14, 2012.
Rigid Geometry and the Local Langlands Correspondence , KIAS, Jan 2-5, 2012.
LMS Regional Meeting and Workshop on Iwasawa Theory , Exeter, Oct. 7-8, 2011.
Une apr`es-midi de G'eom'etrie Arithm'etique `a l'occasion du 50-i`eme anniversaire de Takeshi Saito , IHES, Sep. 12, 2011.
Analysis on Lie Groups , MPI, Aug.-Sep., 2011.
Computations with Modular Forms 2011 , Heidelberg, Aug. 29 - Sep. 2, Sep. 5-8, 2011.
Workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds , Fields Institute, Aug. 16-25, 2011.
Galois Representations and Automorphic Forms , Banach Center, Bedlewo, Poland, Aug. 15-20, 2011.
Theta Festival , Postech, Aug. 13-19, 2011.
Automorphic forms and Galois representations , Durham, July 18-28, 2011.
Workshop on non-abelian class field theory , Pohang, July 18-22, 2011.
Quantum Cohomology, Symplectic Resolutions and Representation Theory Meeting , Oxford, July 9-11, 2011.
Motives: Algebra and Arithmetic , Mainz, July 4-8, 2011.
Workshop on the arithmetic geometry of Shimura varieties and Rapoport-Zink spaces , Kyoto, July 4-8, 2011.
The Birch and Swinnerton-Dyer Conjecture Summer School , Sardinia, June 26 - July 3, 2011.
L-packets , Banff, June 26 - July 1, 2011.
Iwasawa Algebras , Cambridge, June 21, 2011.
Workshop on the Arithmetic of Function Fields , London, June 13-17, 2011.
Toric geometry and applications , Leuven, June 6-10, 2011.
FRG/RTG Workshop on L-functions, Galois Representations and Iwasawa theory , Ann Arbor, May 17-22, 2011.
Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives , Bristol, May 3-6, 2011.
Heilbronn Day: Background Workshop on Multiple Zeta Values, Modular Forms & Elliptic Motives , Bristol, May 2, 2011.
Conference on the Birch and Swinnerton-Dyer conjecture , Cambridge, May 4-6, 2011.
Derived Categories , INI, Cambridge, April 11-15, 2011.
Cycles in Istanbul , Istanbul, March 28 - April 1, 2011.
UK-Japan Mathematical Forum , Keio (Tokyo), March 24-29, 2011.
Workshop on Galois Representations and Automorphic Forms , IAS, March 21-25, 2011.
Arizona Winter School 2011: Stark-Heegner points , Tucson, March 12-16, 2011.
Southern California Number Theory Day , San Diego, Feb. 19, 2011.
Postech Winter School 2011: Serre's Modularity Conjecture , Pohang, Jan. 14-21, 2011.
Arithmetic of Modular Forms and Elliptic Curves , IMPA, Rio de Janeiro, Jan. 3-14, 2011.
First Abel Conference: A Mathematical Celebration of John Tate , IMA, Minneapois, Jan. 3-5, 2011.
International workshop on motives in Tokyo, part 6 , Tokyo, Dec. 13-17, 2010.
Algebraic Number Theory and Related Topics 2010 , Kyoto RIMS, Dec. 6-10, 2010.
Witt vectors, foliations, and absolute de Rham cohomology , Nagoya, Nov. 22-26, 2010.
Motives and Modular Forms (in honor of Don Blasius) , UCLA, Nov. 11-12, 2010.
Special Values of L-functions and Arithmetic Geometry , Miyama, Japan, Oct. 8-11, 2010.
Langlands Duality in Representation Theory and Gauge Theory , IAS at Hebrew University of Jerusalem, 2010-2011.
Galois Representations and Automorphic Forms , IAS, 2010-11.
Geometry and Arithmetic (in honor of Gerard van der Geer) , Sep. 20-24, 2010.
The second Pan Asian Number Theory Conference (PANT) , Kyoto, Sep. 13-17, 2010.
Automorphic Forms and Number Theory , Goa (India), Aug. 13-17, 2010.
Galois Representations in Arithmetic and Geometry , Goa (India), Aug. 10-13, 2010.
Automorphic forms and L-functions , Shandong, Aug. 1-14, 2010.
Summer school on the Hitchin fibration , Bonn, July 26-30, 2010.
Summer school on Automorphic Representations of GL(n), Kurashiki, July 24-30, 2010.
Postech Summer School 2010: Congruences of Modular forms and Galois representations , Pohang, July 19-30, 2010.
Workshop on Arithmetic Geometry and Related Topics , Taipei, July 12-16, 2010.
Iwasawa 2010 Conference , Fields Institute, July 5-9, 2010.
Log Conf 2010: Current trends in logarithmic geometry , Bordeaux, June 22-25, 2010.
Summer school :p-adic cohomologies and arithmetic applications , Seville, June 14-18, 2010.
Number Theory and Representation Theory (in honor of Benedict Gross) , Harvard, June 2-5, 2010.
Rational Points - Theory & Experiment , Zurich, May 25-29, 2010.
Sheaves in Representation Theory , Isle of Skye, May 23-28, 2010.
Conference in arithmetic geometry (in honor of Jean-Marc Fontaine) , IHP/Orsay, March 22-27, 2010.
Effective methods in p-adic cohomology , Oxford, March 15-19, 2010.
Galois Trimester , IHP, Jan. 4 - March 31, 2010.
Magma 2010 Conference on p-adic L-functions , CRM Montreal , Feb. 22-26, 2010.
Sakura Workshop: Torsion of Abelian Schemes and Rational Points on Moduli Spaces , Bordeaux, Jan. 26-29, 2010
Workshop on Arithmetic Geometry in Kanazawa , Kanazawa, Nov. 24-27, 2009.
The 7th Takagi Lectures , Tokyo, Nov. 21-23, 2009.
Potential Modularity Day , INI Cambridge, Oct. 30, 2009.
Autumn School: Towards a p-adic Langlands Correspondence , Seville, Oct. 26-30, 2009.
Frobenius Lifts , Leiden, Oct. 5-9, 2009.
Advanced School and Workshop on p-adic Analysis and Applications , Trieste, Aug. 31 - Sep. 18, 2009.
Relative trace formula and periods of automorphic forms , AIM, Aug. 24-28, 2009.
East Asia Number Theory Conference , Beijing, Aug. 19-22, 2009.
p-adic Automorphic Forms and Arithmetic Geometry , Kesen-numa-Oshima, Japan, July 28-31, 2009.
Workshop on Automorphic Representations, Geometry, and Arithmetic , Taipei, July 21-24, 2009.
Modular forms, p-adic Hodge Theory and Applications , Roscoff, July 13-17, 2009.
26th Journees Arithmetiques , Saint-Etienne, July 6-10, 2009.
Journees de Geometrie Arithmetique de Rennes , Rennes, July 6-10, 2009.
IAS/Park City Sumer School on Arithmetic of L-functions , Park City, June 28 - July 18, 2009.
CMI Summer School on Galois Representations , Honolulu, June 15 - July 10, 2009.
Workshop on Geometry Related to the Langlands Programme , Ottawa, May 27-31, 2009.
Minerva School on P-adic Methods in Arithmetic Algebraic Geometry , Jerusalem, March 29 - April 7, 2009.
Pan Asian Number Theory - Pohang , Pohang, Jan. 8-11, 2009.
Workshop on Shimura Varieties, Automorphic Representations and Related Topics , Kyoto, Nov. 25-28, 2008.
Conference on Arithmetic Algebraic Geometry (in honor of Michael Rapoport) , Bonn, Oct. 6-10, 2008.
The stable trace formula, automorphic forms, and Galois representations , Banff, Aug. 10-17 (summer school ) / 17-22 (workshop ), 2008.
Arithmetic Algebraic Geometry , Oberwolfach, Aug. 3-9, 2008.
p-adic representations of p-adic groups , IHP, July 7-12, 2008.
Iwasawa 2008 , Augsburg / Kloster Irsee, June 29 - July 4, 2008.
Modular Forms and Arithmetic (in honor of Ken Ribet) , MSRI, June 28 - July 2, 2008.
Current developments and directions in the Langlands program , Northwestern, May 10-14, 2008.
Instructional Conference on Representation Theory and Arithmetic , Northwestern, May 5-9, 2008.
Selmer Groups, L-functions, and Galois Deformations , UCLA, March 24-29, 2008.
Southern California Number Theory Day , Caltech, March 8, 2008.
Automorphic forms, geometry, and arithmetic , Oberwolfach, Feb. 3-9, 2008.
Cycles, Motives and Shimura Varities , Tata Institute, Jan. 3-12, 2008.
Arithmetic Algebraic Geometry Conference , Cetraro (Italy), October 7-13, 2007
Galois representaions and Modular forms , Chennai, Sep. 24 - Oct. 5, 2007.
Cohomology of nonarchimedean period spaces and related moduli spaces , MPI Bonn, Sep. 24-28, 2007.
Asian Symposium on Arithmetic Geometry , KIAS, Sep. 15-18, 2007.
Conference of Ramification and Vanishing Cycles , Tokyo, Sep. 10-14, 2007.
Algebraic and Arithmetic Structures of Moduli Spaces , Sapporo, Sep. 3-7, 2007.
Summer School in Iwasawa Theory , MacMaster, Aug. 9-13, 2007.
A Conference on Certain L-Functions (in honor of Freydoon Shahidi) , Purdue, July 30 - Aug. 3, 2007.
Summer School on Serre's Modularity Conjecture , Luminy, July 9-20, 2007.
Summer school on Automorphic Forms and Shimura Varieties , Trieste, July 9-20 (w/ conference July 23-27), 2007.
25th Journees Arithmetiques , Edinburgh, July 2-6, 2007.
Algebraic Analysis and Around (in honor of Masaki Kashiwara) , Kyoto RIMS, June 25-30, 2007.
Algebraische Zahlentheorie , Oberwolfach, June 17-23, 2007.
Japan-France conference on Automorphic Endoscopy , Luminy, June 11-15, 2007.
p-adic method in arithmetic geometry and its applications , Tokyo, June 11-13, 2007.
Geometrie arithmetique, representations galoisiennes et formes modulaires , Paris XIII, June 6-8, 2007.
Mini-workshop on Automorphic Representations and Shimura Varieties , Kyoto, May 30-31, 2007.
L-Functions and Automorphic Forms (in honor of Dorian Goldfeld) , Columbia, May 18-23, 2007.
Motives and Algebraic Cycles (in honor of Spencer Bloch) , Fields Institute, March 19-23, 2007.
Arizona Winter School: p-adic geometry , Tucson, March 10-14, 2007.
Workshop on the Representation Theory of Reductive Algebraic Groups , Ottawa, Jan. 18-21, 2007.
Algebraic Number Theory and Related Topics , Kyoto RIMS, Dec. 11-15, 2006.
p-adic method and its applications in arithmetic geometry , Hiroshima, Nov. 24-25, 2006.
p-adic Arithmetic Geometry , Kyoto RIMS, Nov. 20-22, 2006.
Modularity for GL(2) and Beyond , MSRI, Oct. 30 - Nov. 3, 2006.
Quebec-Vermont Number Theory Seminar Fall 2006: (largely on Sato-Tate conjecture) , Montreal, Sep. - Nov., 2006.
Arithmetic Algebraic Geometry , Kyoto RIMS, Sep. 11-15, 2006.
International Conference on Arithmetic Algebraic Geometry , Madrid, Sep. 4-8, 2006.
Summer School on Arithmetic Geometry , Gottingen, July 17 - Aug. 11, 2006.
Asian-French Summer School in Algebraic Geometry and Number Theory 2006: Motives and related topics , IHES, July 17-29, 2006.
p-adic modular forms and applications (website of Nekovar ), Luminy, July 17-21, 2006.
Recent Developments in the Arithmetic of Shimura Varieties and Arakelov Geometry , Barcelona, July 10-15, 2006.
Affine Hecke algebras, the Langlands program, conformal field theory and matrix models , Luminy, June 19 - July 14, 2006.
Automorphic Galois Representations, L-functions and Arithmetic , Columbia, June 17-22, 2006.
Geometry and Representation Theory (in honor of George Lusztig) , MIT, May 30 - June 3, 2006.
Automorphic forms and L-functions (in honour of Steve Gelbart) , Rehovot/Tel-Aviv, May 15-19, 2006.
Spring School on Abelian Varieties , Utrecht, May 2-24 (w/ workshop, Amesterdam, May 29-31), 2006.
Representations p-adiques , Bordeaux, April 24-26, 2006.
Arithmetic Algebraic Geometry , Kyoto RIMS Project Research, April 2006 - Mar 2007.
p-adic representations, modularity, and beyond , AIM, Feb. 20-24, 2006.
Special program on Eigenvarieties , Harvard, Feb. 1 - May 31 (w/ workshop , May 10-15), 2006.
International Conference on Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory (in honour of Roger Howe) , Singapore, Jan. 9-11, 2006
Programm on Arithmetic Algebraic Geometry , ESI, Vienna, Jan. 2 - Feb. 18, 2006.
Intersection of Arithmetic Cycles and Automorphic Forms , Montreal, December 12-16, 2005.
Recent Trends in Endoscopy and Representation Theory (in honor of E.-W. Zink) , Berlin, October 17-22, 2005.
A Conference on the Occasion of the Sixty-first Birthday of Pierre Deligne , Princeton, October 17-20, 2005.
p-adic Representations , Montreal, September 12-16, 2005.
International Conference on Arithmetic Geometry and Automorphic Forms , Nankai Univ, Tianjin, August 11-16, 2005.
Summer School of Arithmetic Geometry and Automorphic Forms , Tsinghua Univ, Beijing, August 1-10 & 18-30, 2005.
International Summer School on Arithmetic, Geometry and Topology of Shimura Varieties , Zhejiang Univ., Hangzhou, July 3-15, 2005.
Galois Representations , Strasbourg, July 4-8, 2005.
Conference on algebraic geometry (in honor of Luc Illusie) , Orsay, June 27-29, 2005.
Algebraische Zahlentheorie , Oberwolfach, June 19-25, 2005.
Algebraic Geomtery and Number Theory , St. Petersburg, June 17-24, 2005.
Open Questions and Recent Developments in Iwasawa Theory (in honor of Ralph Greenberg) , Boston, June 13-17, 2005.
Workshop on F-isocrystals and rigid cohomology: 2nd session , Rennes, June 1-3, 2005.
Finite Group Schemes and p-divisible Groups , Oberwolfach, May 15-21, 2005.
Automorphic Forms and Automorphic L-functions , Kyoto RIMS, Jan. 17-21, 2005.
Conference in honour of John H. Coates on the occasion of his 60th birthday , Newton Institute, Cambridge, Jan. 13-14, 2005.
Arithmetic and Algebraic Geometry , Tokyo, Dec. 17-22, 2004.
Workshop on F-isocrystals and rigid cohomology , Padova, Dec. 11-12, 2004.
Conference on automorphic forms and the trace formula, in honour of James Arthur , Fields Institute, Oct. 13-16, 2004.
Moduli Spaces and Arithmetic Geometry , Kyoto, Sep. 8-15, 2004.
LMS Durham Symposium: L-functions and Galois representations , University of Durham, July 19-30, 2004.
Arithmetic Geomtery , St. Petersburg, June 20-26, 2004.
Galois Theory and Arithmetic , Bonn, June 1-4, 2004.
Lien entre tours de Lubin Tate et de Drinfeld (d'apres Faltings) , IHES, Feb. 10 - June 8, 2004.
Workshop on the Representation Theory of p-adic Groups , University of Ottawa, May 5-9, 2004. - Some notes