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

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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

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Quiver Representations and Theta Functions

Man Wai Cheung

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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

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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.

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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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