Workshop on Recent Progressions on R=T

Japanese Page Index
Theme Grant Date, Place, Access Registration Accomodation Speakers, Program Abstracts, References List of Participants
Files Proceeding Project

Theme:
One of the main goals of this training camp is to check the proof of Sato-Tate
conjecture (under mild conditions) after R. Taylor et al. and the proof of
Serre's conjecture after C. Khare and J.-P. Wintenberger.
We will begin from M. Kisin's papers and a review of Taylor-Wiles and Diamond-Fujiwara's
R=T techniques.

This workshop is supported by

Date: 17(Mon)-21(Fri)/March/2008
Place:
Yatsu-ga-take Natural&Culture Park, Haramura, Suwa-Gun, Nagano Prefecture, JAPAN
Access:
(JR): Chino St.(Chuo line) -> Haramura second pension village (Bus To Haramura pension, or To Minotoguchi) 40minutes -> Yatsu-ga-take Natural&Culture Park (Walk) 5minutes
(Car): Obuchizawa I.C. (Chuo expressway) -> (Yatugatake Hachimaki)15km -> Yatsu-ga-take Natural&Culture Park
or Suwa-Minami I.C. (Chuo expressway)10km -> Yatsu-ga-take Natural&Culture Park
Bus time table


Registration
It's closed.

Accomodation: Zig-Zag
2(-3) persons for one room
LAN is available in the lodge. (not available in the seminar house.)
If you have any request about the room, please consult us.
Living Costs: 10,000yen per day per person (including foods)
We will collect the costs before the first talk.

Files:
Program file
R=Tprogram.pdf
Abstracts and References R=Ttalks.pdf
Comprehension check R=Tcheck.pdf
Un fil d'Ariane Ariadne.pdf
Lecture Notes (will be uploaded)

Speakers:
G. Yamashita (RIMS), S. Yasuda (RIMS)

Program:

17/Mar(Mon)
15:00-15:30 Registration
15:30-17:00 Go Yamashita (RIMS) ``Review of Taylor-Wiles system''
17:30-19:00 Go Yamashita (RIMS) ``Galois representations associated to Hilbert modular forms via congruence after Taylor'', and ``Global-local compatibility after Carayol.''

18/Mar(Tue)
9:00-10:30 Go Yamashita (RIMS) ``Modularity lifting for potentially Barsotti-Tate deformations after Kisin I.''
11:00-12:30 Seidai Yasuda (RIMS) ``Base change argument of Skinner-Wiles'', and ``Integral p-adic Hodge theory after Breuil and Kisin.''
14:30-16:00 Seidai Yasuda (RIMS) ``Modularity lifting for potentially Barsotti-Tate deformations after Kisin II.''
16:30-18:00 Go Yamashita (RIMS) ``Modularity lifting for crystalline deformations of intermediate weights after Kisin.''

19:30-20:30 (informal seminar) Chan-ho Kim (SNU) TBA

19/Mar(Wed)
9:00-10:30 Seidai Yasuda (RIMS) ``p-adic local Langlands correspondence and mod p reduction of crystalline representations after Berger, Breuil, and Colmez.''
11:00-12:30 Go Yamashita (RIMS) ``Modularity lifting of residually reducible case after Skinner-Wiles.''
14:30-16:00 Seidai Yasuda (RIMS) ``Potential modularity after Taylor.''
16:30-18:00 Go Yamashita (RIMS) ``Taylor-Wiles system for unitary groups after Clozel-Harris-Taylor I.''

20/Mar(Thu)
9:00-10:30 Seidai Yasuda (RIMS) ``Taylor-Wiles system for unitary groups after Clozel-Harris-Taylor II.''
11:00-12:30 Seidai Yasuda (RIMS) ``Proof of Sato-Tate conjecture after Taylor et al.''
14:30-16:00 Go Yamashita (RIMS) ``First step of the induction of the proof of Serre's conjecture after Tate, Serre, and Schoof.''
16:30-18:00 Go Yamashita (RIMS) ``Proof of Serre's conjecture of level one case after Khare.''

21/Mar(Fri)
9:00-10:30 Seidai Yasuda (RIMS) ``Proof of Serre's conjecture after Khare-Wintenberger.''
11:00-12:30 Seidai Yasuda (RIMS) ``Breuil-M\'ezard conjecture and modularity lifting for potentially semistable deformations after Kisin.''



List of Participants

Keisuke ARAI (Tokyo)
Seunghwan CHANG (ASARC, KAIST)
Masataka CHIDA (Tohoku)
Kei HAGIHARA (Tokyo)
Takashi HARA (Tokyo)
Takehiro HASEGAWA (Tsuru)
Naoki IMAI (Tokyo)
Tomokazu KASHIO (Kyoto)
Hisaaki KAWAMURA (Hokkaido)
Chan-Ho KIM (Seoul)
Kensaku KINJO (Tohoku)
Satoshi KONDO (Kyoto, RIMS)
Takuya KONNO (Kyushu)
Shuichi MATSUNAMI (Hokkaido)
Yoichi MIEDA (Tokyo)
Satoshi MOCHIZUKI (Toyo, Saitama, Meijo)
Iku NAKAMURA (Hokkaido)
Kentaro NAKAMURA (Tokyo)
Yukiyoshi NAKKAJIMA (Tokyo Denki)
Hiroaki NARITA (Osaka City)
Shigeto NISHIMURA (None)
Masao OHI (Kyoto)
Yoshiyasu OZEKI (Kyushu)
Seiken SAITO (Hosei)
Shuji SAITO (Tokyo)
Takeshi SAITO (Tokyo)
Kanetomo SATO (Nagoya)
Takashi SUZUKI (Kyoto)
Yuichiro TAGUCHI (Kyushu)
Yoshiyuki TOMIYAMA (Kyushu)
Takahiro TSUSHIMA (Tokyo)
Go YAMASHITA (Kyoto, RIMS)
Takuya YAMAUCHI (Hiroshima)
Seidai YASUDA (Kyoto, RIMS)


Proceeding Project:
"Recent Progressions on R=T --Sato-Tate conjecture and Serre's conjecture--"
(Sorry, it is written in Japanese.)
Editors
Takeshi SAITO (Tokyo), Go YAMASHITA (Nottingham), Seidai YASUDA (RIMS)

Volume 1, final version
Covers covers.pdf
Inside-covers, Photo, List of participants inside_covers.pdf
Preface Takeshi SAITO (Tokyo) RT0_preface.pdf
Contents RT0_contents.pdf
Miscellanies distributed at the workshop Go YAMASHITA (Nottingham) RT0_miscellany.pdf
"Review of Taylor-Wiles system" Go YAMASHITA (Nottingham) RT1_yamashita.pdf
"Kisin's modified Taylor-Wiles system" Go YAMASHITA (Nottingham) RT2_yamashita.pdf
"Local-global compatibility" Yoichi MIEDA (Kyushu) RT3_mieda.pdf
"Galois representations associated to Hilbert cusp forms after Taylor" Atsushi YAMAGAMI (Kyoto Sangyo) RT4_yamagami.pdf
"Galois representations associated to Hilbert cusp forms after Wiles" Atsushi YAMAGAMI (Kyoto Sangyo) RT5_yamagami.pdf
"On modularity of residually reducible representations" Keisuke ARAI (Tokyo) RT6_arai.pdf
"Skinner-Wiles' base change arguments" Tomokazu KASHIO (Kyoto) RT7_kashio.pdf
"Introduction to integral p-adic Hodge theroy" Satoshi MOCHIDUKI (Toyo, Saitama, Meijo) RT8_mochiduki.pdf
"Moduli of finite flat group schemes" Naoki IMAI (Tokyo) RT9_imai.pdf
"Modularity lifting of crystalline deformations of intermediate weights" Kentaro NAKAMURA (Tokyo) RT10_nakamura.pdf
"Introduction to p-adic local Langlands correspondence for GL_2(Q_p)" Kentaro NAKAMURA (Tokyo) RT11_nakamura.pdf

Volume 2, final version
Covers covers2.pdf
Inside-covers inside_covers2.pdf
Preface Takeshi SAITO (Tokyo) RT12_preface.pdf
Contents RT12_contents.pdf
"Taylor's potential modularity theorems" Takahiro TSUSHIMA (Tokyo) RT13_tsushima.pdf
"Clozel-Labesse's base change" Takuya KONNO (Kyushu)
Hisaaki KAWAMURA (Hokkaido)
Hiroaki NARITA (Kumamoto)
RT14_konno_kawamura_narita.pdf
->Konno-san's webpage
"R=T for unitary groups" Seidai YASUDA(RIMS)
Masataka CHIDA (Kyoto)
not available
"A family of Calabi-Yau varieties, and potential modularity--toward proof of Sato-Tate conjecture--" Takashi HARA (Tokyo) RT15_hara.pdf
"Proof of Serre's conjecture: the first step of inductions" Yuichiro TAGUCHI (Kyushu) RT16_taguchi.pdf
"Proof of Serre's conjecture of level one case" Kei HAGIHARA (Tokyo) RT17_hagihara.pdf
"Proof of Serre's conjecture" Takuya YAMAUCHI (Hiroshima)
appendix: Seidai YASUDA (RIMS)
RT18_yamauchi.pdf
appendix RT18app_yasuda.pdf
"Potentially semistable deformation rings" Tomoyuki ABE (Tokyo) RT19_abe.pdf
"Breuil-Mezard conjecture and moduality lifting" Seidai YASUDA (RIMS) not available
Errata of the first volume RT20_errata.pdf


Organizers:
Go Yamashita (RIMS),
Seidai Yasuda(RIMS)