The theory of support varieties for modules was originated in a groundbreaking work of D. Quillen who introduced geometry into the study of cohomological properties of a finite group in positive characteristic. The support variety itself was defined by J. Carlson who also suggested a surprising representation-theoretic interpretation of this cohomological invariant. In recent years the theory of support varieties and its applications has appeared in the study of representations of a multitude of algebraic structures other than finite groups, such as restricted Lie algebras, algebraic groups, quantum groups, finite-dimensional algebras.

Lecture #12617

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