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Algebraic and Geometric Aspects of Representation Theory

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CIMPA-UNESCO-MESR-MINECO-BRAZIL research school

Report by Cristián Ortiz

Report by Claude Cibils

Objectives :

The school aims to introducing undergraduate, master and Ph.D. students from Brazil and other countries in South America, to active topics in Representation Theory, focusing on algebraic and geometric methods. This is a two-weeks long event, where the first week is devoted to the study of algebraic methods arising in Representation Theory, while the second week is concerned with geometric tools applied to Representation Theory. The program for both weeks consists on mini- courses taught by mathematicians from different countries including Argentina, Brazil, Canada, France and Switzerland. Also there will be invited talks given by specialists in Representation Theory and related topics.

The event will take place in the campus Centro Politécnico of Universidade Federal do Paraná, located in the city of Curitiba, the southern Brazilian largest city and capital of the state of Paraná. Our institution is regarded as the main university of the state of Paraná.

Responsables administratifs et scientifiques :

  • Cristián Ortiz, Universidade Federal do Paraná, Brazil. E-mail : cristian.ortiz[at]ufpr.br
  • Patrick Le-Meur, Université Blaise Pascal, France. E-mail : patrick.lemeur[at]math.univ- bpclermont.fr

Local Committee :

  • Carlos Durán, Universidade Federal do Paraná, Brazil.
  • Cristián Ortiz, Universidade Federal do Paraná, Brazil.
  • Marcelo Muniz, Universidade Federal do Paraná, Brazil.
  • Edson Ribeiro Álvares, Universidade Federal do Paraná, Brazil.

Scientific Committee :

  • Henrique Bursztyn, Instituto de Matemática Pura e Aplicada-IMPA, Brazil.
  • Cristián Ortiz, Universidade Federal do Paraná, Brazil.
  • Edson Ribeiro Álvares, Universidade Federal do Paraná, Brazil
  • Andrea Solotar, Universidad de Buenos Aires, Argentina.
  • Flávio Ulhoa Coelho, Universidade de São Paulo, Brazil

Date and location :

February 25-March 9, 2013. Curitiba, Brazil.

Scientific Program :

The school will offer 7 mini-courses. Depending on the audience, some of the courses would be taught in portuguese or spanish.

Courses for the first week

  • Introduction à l’algèbre homologique : Lecturer : Andrea Solotar, Universidad de Buenos Aires, Argentina.
  • Introduction à la thèorie des représentations : Lecturer : Patrick Le-Meur, Université Blaise Pascal, France.
  • Auslander-Reiten theory : Lecturer : Ibrahim Assem, Université de Sherbrooke, Canada.
  • Hopf algebras and quivers : Lecturer : Rachel Taillefer, Université Blaise Pascal, France.

Courses for the second week

  • Introduction to the representation theory of compact Lie groups : Lecturer : Reimundo Heluani, IMPA, Brazil.
  • Flag manifolds : Lecturer : Luiz San Martin, Universidade Estadual de Campinas, Sao Paulo, Brazil.
  • Representations of braid groups via holonomy : Lecturer : Camilo Arias Abad, Universitat Zurich, Switzerland

During both weeks we will have a good number of invited talks given by specialists working on Representation Theory and related topics.

  • Juan Carlos Bustamante, Université de Sherbrooke, Canada
  • Erik Backelin, Universidad de Los Andes, Colombia
  • Yuli Billig, Carletton University, Canada
  • Mikhail Belolipetsky, Instituto de Matemática Pura e Aplicada, Brazil
  • Paul Bressler, Universidade de São Paulo, Brazil
  • Henrique Bursztyn, Instituto de Matemática Pura e Aplicada, Brazil
  • Diane Castonguay, Universidade Federal de Goias, Brazil
  • Vyasheslav Futorny, Universidade de São Paulo, Brazil
  • Marcos Jardim, Universidade Estadual de Campinas, Brazil
  • Eduardo Marcos, Universidade de São Paulo, Brazil
  • Sergei Merkulov *, Stockholm University, Sweden
  • Mariano Suarez Álvarez, Universidad de Buenos Aires, Argentina
  • Sonia Trepode, Universidad Nacional de Mar del Plata, Argentina
  • Flávio Ulhoa Coelho, Universidade de São Paulo, Brazil
  • Marcelo Lanzilota, Universidad de La República, Uruguay

*= to be confirmed

Deadline for registration :

November 11, 2012

Application procedure and Online registration only for applicants not from Brazil.

Applicants from Brazil must contact the local organizer : cimpacuritiba2013@gmail.com

Voir en ligne : Local web site