This course aims to help learners understand and measure singularities in algebraic geometry. The course covers topics such as algebraic varieties, smoothness, resolution, rational singularities, coordinate rings, F regularity, and the minimal model program. The teaching method involves lectures and discussions. This course is intended for individuals interested in advanced topics in algebraic geometry.
Understanding and Measuring Singularities in Algebraic Geometry
Joint Mathematics Meetings via YouTube
Overview
Syllabus
Introduction
Algebraic Geometry
Algebraic Varieties
algebraic geometry over any field
smoothness
smooth points
Resolution
Hironaka
Exceptional Sets
RationalSingularities
Varieties
The coordinate ring of the variety
Algebraic correspondence
Coordinate ring
Freshman Dream
Peace Power Map
F regularity
Minimal Model Program
Questions
Blowing up
Conclusion
Taught by
Joint Mathematics Meetings
