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Homological Mirror Symmetry - Lagrangian SYZ Fibrations

Offered By: IMSA via YouTube

Tags

Homological Mirror Symmetry Courses Algebraic Geometry Courses Symplectic Geometry Courses Symplectic Manifolds Courses

Course Description

Overview

Explore a comprehensive lecture on Lagrangian SYZ Fibrations presented by Ilia Zharkov from Kansas State University. Delve into the construction of a symplectic manifold X and its Lagrangian torus fibration X \to B, extending from an integral affine manifold B with (semi-)simple singularities D in codimension 2. Examine the process of building local models, including the intriguing Liouville skeleton, and the subsequent gluing techniques. Gain insights into this collaborative project involving CY. Mak, D. Matessi, and H. Ruddat, covering topics such as inspiration, assumptions, similarities, different opportunities, potentials, domains, project structure, evolution, discriminant, and construction.

Syllabus

Intro
Inspiration
Assumptions
Similarities
Different Opportunities
Local Models
Potentials
Domains
Project Structure
Evolution
Gluing
Discriminant
Construction
Softbox


Taught by

IMSA

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