Location
Dates
Presentation
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.
Administrative and scientific coordinators
Scientific program
Course 1: "Introduction to homological algebra", Mariano Suares Álvarez (Universidad de Buenos Aires, Argentina)
Course 2: "Introduction to Representation Theory", Patrick Le-Meur (Université Blaise Pascal, France)
Course 3: "Auslander-Reiten theory", Rachel Taillefer (Université Blaise Pascal, France)
Course 4: "Introduction to the representation theory of compact Lie groups ", Reimundo Heluani (IMPA, Brazil)
Course 5: "Representations, cohomology and deformations", Camilo Arias Abad (University of Zurich, Switzerland)
Course 6: "Cohomologia de Hochschild: definiciones y ejemplos", Juan Carlos Bustamante (University of Sherbrooke, Canada)
Course 7: "Gelfand-Tsetlin modules and torsion theories", Vyasheslav Futorny (Universidade de São Paulo, Brazil)
Course 8: "Igusa-Todorov function", Marcelo Lanzilota (Universidad de La República, Uruguay)
Course 9: "Groethendieck Groups of Quotient singularities", Eduardo Marcos (Universidade de São Paulo, Brazil)
Course 10: "Quasi-hereditary algebras and Delta-filtered modules", Dag Madsen (University of Nordland, Norway)
Course 11: "The fundamental group of a linear category", Maria Julia Redondo (Universidad de Bahia Blanca, Brazil)
Course 12: "Universal and versal gradings of linear categories", Claude Cibils (Université Montpellier, France)
Course 13: "Trisections in module categories and quasi-directed components", Flávio Ulhoa Coelho (Universidade de São Paulo, Brazil)
Course 14: "Representation theory and localization of a quantum group at a root of unity", Erik Backelin (Universidad de Los Andes, Colombia)
Course 15: "Kazhdan-Lusztig cells and representations of Coxeter groups", Mikhail Belolipetsky (IMPA, Brazil)