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1
Introduction
2
Vector Spaces
3
Dimensional Reduction
4
Categorization
5
Categorical DT Theory
6
Numerical DP Invariant
7
Universe Scheme of D Points
8
Category of C3
9
DP Category
10
quasiBPS Categories
11
MDW
12
Key Theory
13
Applications
14
Technical difficulties
Description:
Explore a comprehensive lecture on Homological Mirror Symmetry and Categorical Donaldson-Thomas Theory delivered by Tudor Padurariu from Columbia University. Delve into the intricacies of Donaldson-Thomas invariants, their refinements, and categorifications, with a focus on the example of points on C^3. Discover the construction of categorical analogues of BPS invariants and their applications in categorical DT/Pandharipande-Thomas correspondence. Gain insights into vector spaces, dimensional reduction, categorization, numerical DP invariants, universe schemes, quasiBPS categories, and MDW key theory. Understand the technical challenges involved and the potential applications of this advanced mathematical concept in the field of algebraic geometry and string theory.

Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond

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