TBA
	2:30 pm
	Room 16
	TBA
	TBA

From October 16th to October 31st, Henning Haahr Andersen (University of Aarhus, Denmark) will give a 6-classes course. Its titel and abstract are the following:

On quantum groups, tilting modules and fusion categories

Abstract: The aim of these lectures is to derive and discuss fusion rules in the representation theory for quantum groups at roots of unity. We will begin by a quick introduction to quantum groups and their representations. In particular, we shall present some of the main ingredients in hte representation theory for these algebras in the case where the quantum parameter is a complex root of unity. This will involve induction functors and their higher derived functors, Weyl modules and their duals, as well as tilting modules. Then we shall consider how to decompose tensor products of tilting modules and explore the fusion rules associated with this problem.

The day, time as well as place where the course will take place can be found in the table below. Please let us know if you are interested in the course but the schedule is inconvenient for you.

Any person who might be interested in the course is cordially invited.

This seminar is organized by the Research Group of Lie Theory. It addresses both the current Lie theory as well as issues of algebra and geometry in which Lie theory has had some impact (vertex algebras, Hopf algebras, quantum groups, etc.).As a general rule, professors from other universities working in the area and visiting our faculty, are often invited to give a talk at the seminar. Besides, local researchers expose here their latest results.For more information about the lectures visit our web page Seminario de Lie in Novedades FaMAF.For any questions, suggestions or information please contact:Oscar Brega 
Office 202
brega at mate dot uncor dot edu

Gastón Andrés García 
Office 272 - Web
ggarcia at mate dot uncor dot edu

• October 15th to 31st/Henning Andersen (Aarhus University, Denmark)/Curse: On q-groups, tilting modules and fusion categories.
• TBA/Jesús Alonso Ochoa (FaMAF)/TBA.
• TBA/Nicolás Andruskiewitsch (FaMAF)/TBA.

• TBA/Leandro Cagliero (FaMAF)/Imagen de U(g)^K por el homomorfismo de Lepowsky, descomposición LU del sistema lineal no conmutativo que la describe y polinomios de Jacobi. abstract pdf

• February 18th/Steen Ryom-Hansen (Universidad de Talca, Chile)/Álgebras de diagramas y sus representaciones.
• March 3rd/Fernando Fantino (FaMAF)/Indicadores de Frobenius-Schur para álgebras de Lie semisimples/Referencia:ScienceDirect - pdf
• March 25th/Nicolás Andruskiewitsch (FaMAF)/Inicios de la Teoría de Lie: De los grupos algebraicos a los grupos cuánticos. charla pdf
• April 3rd/Selene Sanchez (Montpellier II, France)/Sobre la estructra de módulo de Lie en los grupos de cohomología de Hochschild. abstract pdf
• March 31st to april 7th/Herbert Lange (Erlangen Univ., Germany)/Curso de Variedades Abelianas con Multiplicación Compleja.
• April 14th/Paul Loomis (Bloomsburg University, Pennsylvania)/The sum of iterates of the Euler totient function.
• April 28th/Iván Angiono (FaMAF)/Álgebras de Nichols con trenza standard/Referencia:arXiv:0804.0816
• May 5th/Iván Angiono (FaMAF)/Álgebras de Nichols con trenza standard (parte II).
• May 8th/V. A. Artamonov (Moscow State Univ., Russia)/Symmetries of quasicrystals. abstract pdf
• May 12th/Alain Bruguieres (Montpellier II, France)/Hopf monads: an introduction.
• May 19th/Nadina Rojas (FaMAF)/Representaciones fieles de dimensión mínima de álgebras de Lie de Heisenberg truncadas. abstract pdf
• May 26th/Jorge Vargas (FaMAF)/Teoría de invariantes y teorema de Galois.
• June 2nd/Claudia Egea (FaMAF)/Parametización de una gran familia de representaciones de los grupos de trenzas.
• July 3rd/Yves Laurent (Institute Fourier, Grenoble, Francia)/Kirillov's conjecture and D-modules.
• August 11th/Rafael Díaz (UNEFA, Venezuela)/Rational cominatorics.
• August 12th/Laura Matusevich (Texas A&M University)/Hipergeometric systems in two variables.
• August 15th/Rafael Díaz (UNEFA, Venezuela)/Admissible graphs in deformation quantization.
• August 20th/Rafael Díaz (UNEFA, Venezuela)/Rational combinatorics II.
• September 4th/Reimundo Heluani (University of California at Berkeley, USA)/Specular symmetry, generalized complex geometries and vertex algebras.
• September 10th/Iryna Kashuba (University of São Paulo, Brazil)/Jordan algebra, its universal enveloping algebras, its TKK construction and their representations. abstract pdf
• September 11th/Vyacheslav Futorny (University of São Paulo, Brazil)/Gelfand-Tsetlin modules for Galois algebras.
• Septiembre 15th/Hiroyuki Yamane (Osaka University, Japan)/Shapovalov determinants of Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type.

• Septiembre 22nd/Martín Mombelli (Ludwig-Maximilians Universität, Munich, Germany)/Dynamical twists over non-abelian base. pdf talk

REUNIÓN ANUAL DE LA UNIÓN MATEMÁTICA ARGENTINA

Univ. Nac. de Cuyo, Mendoza, September 22 - 27, 2008.
E-mail: lzaragoz at fcemail.uncu.edu.ar

2007, 2006, 2005, 2004, 2003,  2002.