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Dispatches from the Ends of the Stability Manifold - Part II

Offered By: IMSA via YouTube

Tags

Algebraic Geometry Courses Category Theory Courses Stability Theory Courses Moduli Space Courses Minimal Model Program Courses Noncommutative Geometry Courses

Course Description

Overview

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Explore the concept of augmented stability conditions in this 57-minute lecture by Daniel Halpern-Leistner from Cornell University. Delve into the proposed "noncommutative minimal model program" and its implications for the stability manifold of projective varieties. Learn about multi-scale decompositions as generalizations of semiorthogonal decompositions, and discover the new moduli space of multi-scale lines. Examine the main conjecture regarding the space of augmented stability conditions as a manifold with corners. Consider the potential consequences for moduli spaces of semistable objects in smooth and proper dg-categories if this conjecture holds true.

Syllabus

Daniel Halpern-Leistner, Cornell University: Dispatches from the ends of the stability manifold II


Taught by

IMSA

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