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The 7-th Autumn workshop on Number Theory

“Differential operators on modular forms and application”

PROGRAM

From October 24 to October 30, 2004 at Hakuba Highmount Hotel, 2004 Organizer: Tomoyoshi Ibukiyama (Osaka)

October 24(Sun) Arrival day.

October 25(Mon)

9:00 – 10:00 S. B¨ocherer, Differential operators with iteration.

10:15 – 11:15 T. Ibukiyama, Holomorphic differential operators on Siegel modular forms

11:45 – 12:45 A. Yamauchi, Nearly holomorphic modular forms and differential operators I

14:00 – 16:00 Personal discussions

16:00 – 17:00 A session for Open Questions October 26(Tue)

9:00 – 10:00 A. Yamauchi, Nearly holomorphic modular forms and differential operators II

10:15 – 11:15 T. Ibukiyama, Orthogonal polynomials and differen- tial operators

11:45 – 12:45 N. Kojima, Pullback formula and differential opera- tors I

14:00 – 16:00 Personal discussions 16:00 – 17:00 Talk by request

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October 27(Wed)

9:00 – 10:00 N. Kojima, Pullback formula and differential opera- tors II

10:15 – 11:15 S. B¨ocherer, Holomorphic component of restricted Maass operators

11:45 – 12:45 R. Schulze-Pillot Abstract aspect of nearly holomor- phic modular forms

16:00 – 17:00 T. Kuzumaki and T. Ibukiyama, Differential opera- tors fromH2n toHn×Hnand other explicit operators

October 28(Thu)

9:00 – 10:00 H. Ochiai, A survey on holonomic systems

10:15 – 11:15 H. Katsurada, Special values of standard zeta func- tions of Siegel modular forms and differential opera- tors I

11:45 – 12:45 H. Katsurada, Special values of standard zeta func- tions of Siegel modular forms and differential opera- tors II

Afternoon Excursion October 29(Fri)

9:00 – 10:00 T. Ikeda, Period of lifting

10:15 – 11:15 A. Ichino, Pullbacks of Saito-Kurokawa lifts

11:45 – 12:45 H. Yoshida (with T. Kashio), On p-adic absolute CM- periods

16:00-18:00 Solution for Open Questions and new Open Problems (B¨ocherer, Katsurada, Kyomura)

18:00-20:00 Dinner Party October 30(Sat)

9:30 – 10:30 Discussions

参照

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