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Quiver Representations and Theta Functions Man Wai Cheung - PowerPoint PPT Presentation

Jan 12, 2024 •398 likes •872 views

Quiver Representations and Theta Functions Man Wai Cheung Motivation from mirror symmetry -Mirror symmetry: study the duality between a pair of spaces which we called it as mirror pair; motivated by string theory Motivation from mirror symmetry

  1. Quiver Representations and Theta Functions Man Wai Cheung

  5. Motivation from mirror symmetry -Mirror symmetry: study the duality between a pair of spaces which we called it as mirror pair; motivated by string theory

  6. Motivation from mirror symmetry -Mirror symmetry: study the duality between a pair of spaces which we called it as mirror pair; motivated by string theory -Scattering diagrams: 2-dimensional case were raised by Kontsevich-Soibelman when they study K3 surface. The general case were studied by Gross-Siebert in order to describe the toric degeneration of Calabi-Yau varieties so as to construct mirrors.

  7. Motivation from mirror symmetry -Mirror symmetry: study the duality between a pair of spaces which we called it as mirror pair; motivated by string theory -Scattering diagrams: 2-dimensional case were raised by Kontsevich- Soibelman when they study K3 surface. The general case were studied by Gross-Siebert in order to describe the toric degeneration of Calabi-Yau varieties so as to construct mirrors. -Theta functions: [Gross-Hacking-Keel-Siebert] use to construct the mirror to an arbitrary log Calabi-Yau surface. ~describe counting of tropical curves

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