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1
Introduction
2
Welcome
3
Accounting Theorem
4
Proofs
5
First major advance
6
Second major advance
7
Hodge Theory
8
Other Papers
9
All Minimality
10
topology moderate
11
topology and ominous structures
12
definable structures
13
restricted analytic functions
14
piecewise continuous
15
cell decomposition theorem
16
definable child theorem
17
suggestive connections
18
comparison theorem
19
Hodge decomposition
20
Hodge classes
21
Geometric variation
22
The beautiful theorem
23
The functional transcendence theorem
24
Conclusion
25
Discussion
Description:
Explore a comprehensive lecture on tame geometry and its applications to Hodge Theory presented by Thomas Warren Scanlon from the University of California, Berkeley, at the 2022 Virtual Joint Mathematics Meetings. Delve into advanced mathematical concepts, including the Accounting Theorem, major advances in the field, and the intricacies of Hodge Theory. Examine topics such as topology, definable structures, restricted analytic functions, and cell decomposition theorems. Gain insights into geometric variation, the beautiful theorem, and functional transcendence. This 52-minute AMS Current Events Bulletin lecture offers a deep dive into cutting-edge mathematical research, providing a valuable resource for mathematicians and advanced students in the field.

Tame Geometry for Hodge Theory

Joint Mathematics Meetings
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