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Tame Geometry for Hodge Theory

Joint Mathematics Meetings via YouTube

Overview

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This course aims to introduce the concept of tame geometry for Hodge Theory. The learning outcomes include understanding the Accounting Theorem, Hodge Theory, Hodge decomposition, and the comparison theorem. The course covers topics such as topology, definable structures, and geometric variation. The teaching method involves lectures, proofs, and discussions. This course is intended for individuals interested in advanced mathematics, particularly in the intersection of geometry and algebraic structures.

Syllabus

Introduction
Welcome
Accounting Theorem
Proofs
First major advance
Second major advance
Hodge Theory
Other Papers
All Minimality
topology moderate
topology and ominous structures
definable structures
restricted analytic functions
piecewise continuous
cell decomposition theorem
definable child theorem
suggestive connections
comparison theorem
Hodge decomposition
Hodge classes
Geometric variation
The beautiful theorem
The functional transcendence theorem
Conclusion
Discussion

Taught by

Joint Mathematics Meetings

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