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Mirror Structure Constants via Non-Archimedean Analytic Disks

Offered By: IMSA via YouTube

Tags

Algebraic Geometry Courses Mathematical Physics Courses Algebraic Topology Courses

Course Description

Overview

Explore the construction of mirror structure constants for smooth affine log Calabi-Yau varieties through non-archimedean analytic disk counting in this advanced mathematics lecture. Delve into the generalization of previous constructions, removing toric assumptions and employing techniques based on analytic modification of target spaces and skeletal curve theory. Examine the resulting positivity and integrality of mirror structure constants, and potentially discuss further generalizations and virtual fundamental classes. This talk, part of the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference, showcases cutting-edge research at the intersection of algebraic topology, algebraic geometry, and mathematical physics.

Syllabus

Tony Yue Yu: Mirror Structure Constants via Non-Archimedean Analytic Disks


Taught by

IMSA

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