Noncommutative birational geometry, representations and combinatorics

Description:

"This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 6-7, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry."--Publisher's website.

subjects: Quantum groups,  Congresses,  Rings (Algebra),  Free algebras,  Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations,  Associative rings and algebras -- Representation theory of rings and algebras -- None of the above, but in this section,  Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Connections with combinatorics,  General algebraic systems -- Varieties -- Free algebras,  Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory,  Nonassociative rings and algebras,  Lie algebras and Lie superalgebras,  Quantum groups (quantized enveloping algebras) and related deformations,  Associative rings and algebras,  Representation theory of rings and algebras,  None of the above, but in this section,  Hopf algebras, quantum groups and related topics,  Connections with combinatorics,  General algebraic systems,  Varieties,  Combinatorics,  Algebraic combinatorics,  Combinatorial aspects of representation theory