APA

DeHority, S. (2022). Quantum groups and Lagrangian fibrations. Perimeter Institute. https://pirsa.org/22040113

MLA

DeHority, Samuel. Quantum groups and Lagrangian fibrations. Perimeter Institute, Apr. 22, 2022, https://pirsa.org/22040113

BibTex

@misc{ pirsa_PIRSA:22040113,
  doi = {10.48660/22040113},
  url = {https://pirsa.org/22040113},
  author = {DeHority, Samuel},
  keywords = {Mathematical physics},
  language = {en},
  title = {Quantum groups and Lagrangian fibrations},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {apr},
  note = {PIRSA:22040113 see, \url{https://pirsa.org}}
}
            

Abstract

I will discuss a method to associate new types of quantum groups to certain holomorphic Lagrangian fibrations. This algebraic structure controls the enumerative geometry of the variety admitting the Lagrangian fibration in a way analogous to how a quantum group controls the enumerative geometry of a symplectic singularity. Various questions, including the monodromy of the quantum differential equation, can be answered using local-to-global techniques.

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