Singularities in positive characteristics.

Abstract: In the first half, we shall look at the several notions of singularities of a polynomial function at a point from both analytic and algebro-geomteric point of view. We will indicate the surprising similarities of the results coming from these two seemingly different directions. In the second half, these ideas will be put into a more general context detailing more on the positive characteristic side. We shall discuss the notion of F-split, F-regular schemes, how these notions are related to the characteristic zero singularities. We shall end by mentioning some open problems relating singularities in characteristic zero and positive characteristic. This talk is an exposition of the ideas developed in the last fifty years in different contexts.

commutative algebraalgebraic geometry

Audience: researchers in the topic

CMI seminar series

Series comments: Please visit the seminar series homepage for streaming details. Timings of the seminar vary from week to week.