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Back to Algebraic Geometry Seminar: Spring 2025

Algebraic Geometry Seminar


Date: Tuesday, Apr 8, 2025

Time: 3:30PM - 4:30PM

Location: LCB 225

special time 3:00pm Location: TBA/b>


Alekos Robotis

Cornell

Title

The space of augmented stability conditions

Abstract

I will survey recent joint work with Daniel Halpern-Leistner which constructs a partial compactification of (a quotient of) the space of Bridgeland stability conditions on a triangulated category. The partial compactification is modular in the sense that its boundary points parameterise a new type of homological structure: an augmented stability condition. I will introduce augmented stability conditions and explain some of the key properties of the space parameterising them. I will also explain how certain boundary strata of this space relate to braid group actions on semiorthogonal decompositions.

Algebraic Geometry

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