Kurs:Computation of tight closure (Ann Arbor 2012)

This is a short course on the computation of tight closure held by Holger Brenner at the conference Computational workshop on Frobenius Singularities and invariants in Ann Arbor 2012 (organized by Karl Schwede, Kevin Tucker and Wenliang Zhang).

Lecture 1 - Basics

Lecture 2 - Applications of strong semistability

Lecture 3 - Deformations and generic results

Further reading

Forcing algebras, syzygy bundles, and tight closure (Holger Brenner, survey article)

Some remarks on the affineness of ${}{\mathbb {A} }^{1}$-bundles (Holger Brenner, survey article)

A guide to closure operations in commutative algebra (Neil Epstein, survey article)

The theory of tight closure from the viewpoint of vector bundles (Holger Brenner, Habilitationsschrift)

Tight closure and plus closure in dimension two (Holger Brenner)

On the arithmetic of tight closure (Holger Brenner and Moty Katzman)

Tight closure does not commute with localization (Holger Brenner and Paul Monsky)

Continuous solutions to algebraic forcing equations (Holger Brenner)

Continuous closure, axes closure, and natural closure (Neil Epstein and Mel Hochster)

Continuous closure of sheaves (János Kollár)

John Baez explains the use of torsors in physics

Problem list