------ courses
Galois Representations, Lent 2010. (coming soon)
Galois Theory, Michaelmas 2009.
Automorphic Forms and Galois representations I, Fall 2008. (I thank the support of all participants!). This was followed by Richard Taylor's Math 254 in Spring 2009.
Non-abelian Lubin-Tate Theory, Michaelmas 2007.
Tutorial on Complex Multiplication (with Sug Woo Shin), Spring 2005.
------ papers
[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] On non-abelian Lubin-Tate theory via vanishing cycles, to appear in Advanced Studies in Pure Mathematics. (math.NT/0404375, Jan. 2004 / revised Oct. 2009.)
[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] Teiji Takagi and the enigma of class field theory (in Japanese), Gendai-Shisou (2009).
[amazon] Class field theory and modern mathematics (in Japanese), Gendai-Shisou, 36-14 (2008), 138-153.
[amazon] Sugaku-no-Tanoshimi 2008 (in Japanese) -- 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", Nippon-Hyoron-sha, 2008.
[pdf] Global and local Langlands correspondences for GL_n (in Japanese), Proceedings of the 50th Symposium on Algebra, Tokushima Univ., 2005.
[pdf] Non-abelian Lubin-Tate theory and Deligne-Lusztig theory (in Japanese), Proceedings of the Number Theory Symposium, Waseda Univ., 2004.
What Graduate Students (and the Rest of Us) Can Learn from Lesson Study (with Amanda Alvine, Tom Judson and Michael Schein), College Teaching, 55-3 (2007), 109-113.
------ stuff
[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).
[pdf] Research Report (for Clay Liftoff Program 2006), June 2007.
[pdf] Research Summary 2005, July 2005.
Older summary (partly in Japanese): 2004-05 [pdf] / 2003-04 [pdf] / 2001-02 [pdf].
[pdf] What Graduate Students (and the Rest of Us) Can Learn from Lesson Study, with A.Alvine, T.Judson and M.Schein (abstract for the talk at MathFest 2004 contributed paper sessions), Aug. 2004.
------ talks
(the links usually go to the latest seminar announcements)
Recent Talks:
Workshop on Arithmetic Geometry in Kanazawa (Nov. 2009) / University of Chicago: Algebraic Geometry Seminar (Oct. 2009) / Northwestern University (Oct. 2009) / 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).
Compatibility of local and global Langlands correspondences (with R. Taylor): University of Cambridge (Feb. 2006) / Hokkaido University - Notes [pdf (scan)] (Jan. 2006) / Brandeis University (Oct. 2005) / The 50th Symposium on Algebra (Tokushima Univ., Aug. 2005) / University of East Anglia, Norwich (July 2005) / University of Nottingham (July 2005) / Algebraische Zahlentheorie (Oberwolfach, June 2005) / London Number Theory Seminar (June 2005) / Osaka University (April 2005) / Kyoto University - Notes [pdf (scan)] (April 2005) / Harvard University: Number Theory Seminar (March 2005) / University of Tokyo (Jan. 2005).
Non-abelian Lubin-Tate theory and Deligne-Lusztig theory:
Institut de Mathematiques de Jussieu, Paris (Nov. 2004) / London Number Theory Seminar (June 2004) / University of Nottingham (June 2004) / University of California, Berkeley (April 2004) / Stanford University (April 2004) / Number Theory Symposium (Japanese) (Waseda Univ., March 2004) / Harvard University: Number Theory Seminar (Feb. 2004) / Symposium on Arithmetic Geometry (Hokkaido Univ., Nov. 2003).
Class field theory of curves over local fields and applications to modular curves:
Johns Hopkins University (Oct. 2002) / University of Tokyo (June 2002) / Harvard University: Modular Seminar (March 2002) / University of Michigan (Nov. 2001) / University of South California (Nov. 2001) / Advanced Course on Modular Forms and p-adic Hodge Theory (Centre de Recerca Matem`atica, Barcelona, July 2001) .
------ events (does not mean that I'll be there)
Galois Representations and Automorphic Forms, IAS, 2010-11.
Automorphic Forms and Number Theory, Goa (India), Aug. 13-17, 2010.
Galois Representations in Arithmetic and Geometry, Goa (India), Aug. 10-13, 2010.
Conference in honor of Jean-Marc Fontaine, IHP/Orsay, March 22-27, 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.
Frobenius Lifts, Leiden, Oct. 5-9, 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.
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's 60th birthday, 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
Conferences in Arithmetic Geometry (Kiran's page)
Arithmetic Algebraic Geometry in Europe.
Conferences in Japan (in Japanese).
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