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1
Introduction
2
Algebraic Geometry
3
Algebraic Varieties
4
algebraic geometry over any field
5
smoothness
6
smooth points
7
Resolution
8
Hironaka
9
Exceptional Sets
10
RationalSingularities
11
Varieties
12
The coordinate ring of the variety
13
Algebraic correspondence
14
Coordinate ring
15
Freshman Dream
16
Peace Power Map
17
F regularity
18
Minimal Model Program
19
Questions
20
Blowing up
21
Conclusion
Description:
Explore the fundamental concepts of algebraic geometry in this colloquium lecture delivered by Karen E. Smith from the University of Michigan. Delve into topics such as algebraic varieties, smoothness, resolution, and rational singularities. Learn about the coordinate ring of varieties, algebraic correspondence, and the Freshman Dream. Discover the intricacies of F-regularity, the Minimal Model Program, and the process of blowing up. Gain insights into understanding and measuring singularities in algebraic geometry through this comprehensive presentation given at the Virtual 2022 Joint Mathematics Meetings.

Understanding and Measuring Singularities in Algebraic Geometry

Joint Mathematics Meetings
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