This is a satellite conference of the International Congress of Mathematicians (ICM) 2010. It will be held at the Indian Institute of Science, Bangalore.The algebraic and combinatorial analysis of the representation theory of Kac-Moody Lie algebras, Vertex algebras, Quantum groups and Hecke algebras is an active area of current research due to its applications in many areas of mathematics and physics. This conference will bring together leading international experts working on various aspects of this theme. There will be expository survey talks as well as invited talks on current research developments.Invited Participants:Pramod Achar (Louisiana),Drazen Adamovic (Univ Zagreb),Shun-Jen Cheng (Acad. Sinica),ie Du (UNSW), Ghislain Fourier (Koeln U),Yun Gao (York U), John Graham,Jacob Greenstein (UC Riverside),Aloysius Helminck (NCSU),David Hernandez (Ecole Polytechnique),Dijana Jakelic (UNC Wilmington),Naihuan Jing (NCSU),Seok-Jin Kang (Seoul National University),Masaki Kashiwara (RIMS, K...
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