The local theory of prime characteristic singularities is a beautiful and historically important subject. Singularities which are defined in terms of the behaviour of the Frobenius endomorphism have been labeled “F-singularities”.
The course gives an introduction on the most prominent F-singularity classes that emerged from Hochster–Huneke’s tight closure theory. Since its introduction in the late 1980s, it has had a dramatic effect on the field of commutative algebra.
Tight closure gives unified proofs and strong generalisations of many major theorems in commutative algebra, as well stimulated recent proofs of longstanding conjectures.
- Teacher: Ian Aberbach
- Teacher: Suprajo Das
- Teacher: Neil Epstein
- Teacher: Eloísa Grifo
- Teacher: Mitra Koley
- Teacher: Cheng Meng
- Teacher: Mandira Mondal
- Teacher: Vaibhav Pandey
- Teacher: Sudeshna Roy
- Teacher: Kenta Sato
- Teacher: Kevin Tucker