Date | Apr 02, 2021 |
---|---|

Speaker | 오세진 |

Dept. | 이화여대 |

Room | 선택 |

Time | 10:30-12:00 |

※ **Zoom ID: 642 675 5874**

In this talk, I will introduce the quantum affine analog of Kazhdan-Lusztig(KL) positivity conjecture suggested by Hernandez.

The conjecture is already proved by Nakajima in a geometric way , when the quantum affine algebra is of **simply-laced type.**

By establishing isomorphism between their Grothendieck rings for (simply-laced g_1 and non- simply-laced g_2) in a systematic way,

we can propagate the positivity in simply laced type to non- simply laced type. Joining the result of Kashiwara-Kim-myself, we prove further that the (q,t)-character of each simple module of type $B$ is "canonical" $t$-deformtation of its q-character.

This is joint work with Fujita-Hernandez-Oya (arXiv:2101.07489) and Fujita (arXiv:2007.03159).

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