The STNB has experience in organizing international scientic events. In 1995, the STNB organized in Barcelona the 19èmes Journées Arithmétiques, a forum for presentation and discussion of recent number-theoretical developments with a long tradition and recognized as the main international meeting devoted to number theory.

In July 2001, the STNB organized an Advanced Course at the CRM on Modular forms and p-adic Hodge theory, co-financed by the program High Level Scientic Conferences of the European Commission.

In July 2002, the STNB organized a large conference on Modular Curves and Abelian Varieties, which took place at the CRM. Papers with the contents of some talks at the conference were published in the volume 224 of Progress in Mathematics, Birkhauser-Verlag (2004).

In 2009-2010, the STNB organized the Research Program in Arithmetic Geometry, at the CRM, which included several advanced courses, conferences, and workshops and it enjoyed the participation of many of the most well-known number theorists in the field.

In the recent years, the field of Arithmetic Geometry has seen signicant and exciting advances towards the complete or partial solution of some outstanding open conjectures, such as the Sato-Tate conjecture for Hilbert modular forms, some cases of the Weight Monodromy Conjecture, or the Iwasawa main conjecture for GL2.

Among the recent discoveries and new techniques that have emerged lately, special mention deserve the new cases of the Birch and Swinnerton-Dyer conjecture and new modularity theorems of automorphic representations, because of the active and crucial role played by some STNB and BGSMath members. These topics where explored in the 2009-2010 Research Program at the CRM and parts of these projects started during that period, taking advantage of the fruitful mathematical
atmosphere it provided.

It seems thus the right time for the STNB to organize a six-week intensive program on number theory. It will contribute to maintain the level of exceptional research that is being done in Barcelona in the field. In addition, it will be a great opportunity to train a new generation of graduate students and to introduce them to this active, exciting, and fruitful area of research.

To register to the workshop and/or courses and apply for financial support for accommodation, you must fill out this form. The deadline for applying for financial support is December 10th, 2016. The deadline for registration is January 27th, 2017.

Week 1:

• Seminari de Teoria de Nombres 2017. Instructional study group on “Hida families and p-adic methods in elliptic curves“ by Francesc Fité and Santi Molina. From Monday 23 to Friday 27, January 2017.

Week 2:

• The adic eigenvariety by Adrian Iovita (Concordia University of Montréal). Four lectures of two hours from Monday January 30 to Thursday February 2, 2017.
• Location: Centre de Recerca Matemàtica
• Schedule:
  January 30, Monday: 10:00-11:00 and 11:30-12:30
  January 31, Tuesday: 10:00-11:00 and 11:30-12:30
  February 1, Wednesday: 9:00-10:00 and 10:30-11:30
  February 2, Thursday: 10:00-11:00 and 11:30-12:30

Week 3:

• “Siegel modular forms and abelian surfaces” by Vincent Pilloni (Ecole Normal Supérieure de Lyon). Four lectures of two hours from Monday February 6 to Thursday February 9, 2017.
• Location: Facultat de Matemàtiques de la Universitat de Barcelona at room T1 (on the second floor).
  
• Schedule:
  February 6, Monday: 10:30-11:30 and 11:45-12:45
  February 7, Tuesday: 10:30-11:30 and 11:45-12:45
  February 8, Wednesday: 9:15-10:15 and 10:30-11:30
  February 9, Thursday: 10:30-11:30 and 11:45-12:45

Week 4:

• Conference on “p-adic methods for Galois representations and modular forms”. From Monday February 13 to Friday February 17.
  To register to the workshop and/or courses and apply for financial support for the accommodation, you must fill out this form. The deadline for applying for financial support is December 10th, 2017. The deadline for registration is January 27th, 2017.

Week 5:

• Hilbert modular forms: p-adic and mod p aspects” by Payman Kassaei (King’s College London).Three lectures of 2.5 hours from Monday February 20 to Wednesday February 22, 2017.
• Location: Facultat de Matemàtiques i Estadística de la Universitat Politècnica de Catalunya (Room 103).
• Schedule: 
  February 20, Monday: 10:00-11:15 and 11:30-12:45
  February 21, Tuesday: 10:00-11:15 and 11:30-12:45
  February 22, Wednesday: 9:00-10:15 and 10:30-11:45

 

Link to the Graduate Couses p-adic methods for Galois representations and modular forms