PIRSA:22040113

Quantum groups and Lagrangian fibrations

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_22040113,
            doi = {},
            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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