| Abstract: |
| Schiffmann and Dou-Jiang-Xiao use the Hall algebras of weighted projective lines to realize quantum loop algebras of simply-laced type. In this talk, we generalize their results, and use the Hall algebras of exceptional curves to realize the quantum loop algebras associated to the corresponding valued star-shaped graphs. In particular, we are able to realize (twisted and untwisted) quantum affine algebras in Drinfeld new presentation. |
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