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A Categorical Interpretation of the GKZ D-Module

IMSA via YouTube

Overview

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Explore a categorical interpretation of the GKZ D-module in this advanced mathematics lecture. Delve into the B-side category in toric homological mirror symmetry, focusing on the strata of the characteristic cycle of the associated GKZ D-module. Examine various consistency checks and learn about the construction based on the string theoretical work by Aspinwall-Plesser-Wang. Cover topics such as combinatorial context, geometric meaning, BB GKZ, moduli space, mirror map, deformed stack, direct connection, sheaves, discriminant, spherical functor, and triangulation. Gain insights into this complex mathematical concept through examples and observations presented by speaker R. Paul Horja from IMSA.

Syllabus

Introduction
Combinatorial Context
Geometric Meaning
The System
BB GKZ
Moduli Space
Mirror Map
Deformed Stack
Direct Connection
Sheaves
Discriminant
Spherical Functor
Observation
Example
Triangulation
Onedimensional face

Taught by

IMSA

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