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4:00 pm Thursday, December 6, 2012 Special colloquium: Using Splittings to Characterize Singularities in Positive Characteristicby Kevin Tucker (Princeton) in HBH 227- While most points on an algebraic variety are smooth, understanding the singular or non-manifold points of an algebraic variety is an essential part of many investigations. In prime characteristic p > 0, there are a number of techniques which detect and characterize singularities using certain splitting properties of finite covers. For example, splittings of the Frobenius endomorphism or p-th power map have long been used to great effect in representation theory. In this talk, we will give an introduction to the circle of ideas surrounding these methods together with a number of examples and conjectures.
Submitted by hassett@math.rice.edu |