PIRSA:25040127 Scientific Series Mathematical physics

DOI10.48660/25040127

Series: Mathematical Physics

(2025). Birational King's Conjecture and Global Coherent Constructible Correspondence. Perimeter Institute. https://pirsa.org/25040127

Birational King's Conjecture and Global Coherent Constructible Correspondence. Perimeter Institute, Apr. 24, 2025, https://pirsa.org/25040127 

@misc{ pirsa_PIRSA:25040127,
  doi = {10.48660/25040127},
  url = {https://pirsa.org/25040127},
  author = {},
  keywords = {Mathematical physics},
  language = {en},
  title = {Birational King{\textquoteright}s Conjecture and Global Coherent Constructible Correspondence},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {apr},
  note = {PIRSA:25040127 see, \url{https://pirsa.org}}
}

Abstract

In this talk, I will discuss a birational realization of King's conjecture which is indeed true, and its connections with noncommutative algebraic geometry and mirror symmetry. In particular, I will also establish the A-side analog of this result using constructible sheaves and promote the celebrated Coherent-Constructible Correspondence to a global family. The talk is based on recent joint work https://arxiv.org/abs/2501.00130 and work in preparation with David Favero.

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