Characteristic-p Methods

Instructor: Manoj Kummini. Email: mkummini AT cmi DOT ac DOT in.
Lectures: Tue, Wed and Thu, 0910-1025; Lecture Hall 4
Office hours: TBD.

We will study singularities of rings and of varieties in prime characteristic using the Frobenius map. We hope to cover the following topics: F-purity and F-splitting; tight closure; F-rationality and its relation to pseudo-rational singularities; test ideals; reduction to prime characteristic.

Prerequisites: knowledge of primary decomposition and associated primes, integral extensions, completion, dimension theory of noetherian local rings.

Important information:
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