# Quiver algebras and their representations for arbitrary quivers

### APA

Li, W. (2023). Quiver algebras and their representations for arbitrary quivers. Perimeter Institute. https://pirsa.org/23040151

### MLA

Li, Wei. Quiver algebras and their representations for arbitrary quivers. Perimeter Institute, Apr. 21, 2023, https://pirsa.org/23040151

### BibTex

@misc{ pirsa_PIRSA:23040151, doi = {10.48660/23040151}, url = {https://pirsa.org/23040151}, author = {Li, Wei}, keywords = {Mathematical physics}, language = {en}, title = {Quiver algebras and their representations for arbitrary quivers}, publisher = {Perimeter Institute}, year = {2023}, month = {apr}, note = {PIRSA:23040151 see, \url{https://pirsa.org}} }

Wei Li Chinese Academy of Sciences

## Abstract

I will first review the construction of quiver Yangians for the quiver and superpotential from string theory on general toric Calabi-Yau threefolds; they serve as BPS algebras of these systems and their characters reproduce the unrefined BPS indices. I will then explain how to generalize the construction to arbitrary quivers and how to incorporate refined BPS indices. The entire construction allows for straightforward generalizations to trigonometric, elliptic, and generalized cohomologies. Time permitting, I will discuss some applications, such as on BPS counting and on Gauge/Bethe correspondence.

Zoom link: https://pitp.zoom.us/j/96812116687?pwd=RjlsSVhDaUVBREtUUnd5S04rQjhpZz09