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Mathematics Colloquium

Speaker: Steven Dale Cutkosky, University of Mossouri
Date: Wednesday 14 November 2019
Time: 2.30-3.30
Venue: Ramanujan Hall

Title: Local Uniformization, Defect and Associated Graded Rings

Abstract: We discuss the problem of local uniformization (resolution of singularities along a valuation). We define the defect of an extension of valued fields and show that it is the only obstruction to local uniformization in positive characteristic. We explain how defect can be seen through lack of finite generation of associated graded rings along the valuation.