# 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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