Cohomology and Support in Representation Theory

Commutative algebra for modular representations of finite groups

Srikanth Iyengar (Nebraska)

The goal of these lectures will be to describe a bridge between the modular representation theory of finite groups and modules over polynomial rings. This has given us new insights and results, and also alternative proofs of certain classical ones, concerning modular representations. There has also been an impact on commutative algebra, for it has lead to the discovery of some unexpected results and phenomenon in that field. I will attempt to convey these ideas, by giving fairly complete proofs of some representative results from both areas.

Reference: This series of lectures is based on the following articles:

Links to arXiv versions of these papers are available from the lecturer's publication page.

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