Hosts
Beijing Institute of Mathematical Sciences and Applications (BIMSA)
Tsinghua University
Organizers
Zhengwei Liu (刘正伟), Tsinghua University
Yilong Wang (王亦龙),BIMSA
Jinsong Wu (吴劲松), BIMSA
Hosts
Beijing Institute of Mathematical Sciences and Applications (BIMSA)
Tsinghua University
Organizers
Zhengwei Liu (刘正伟), Tsinghua University
Yilong Wang (王亦龙),BIMSA
Jinsong Wu (吴劲松), BIMSA
Registration Address
Zhongjian Yanqi Lakeview Hotel
北京中建雁栖湖景酒店
Conference Venue:
A6 Lecture Room, BIMSA Campus.
BIMSA Campus:
No. 544 Hefangkou Village, Huairou, Beijing
北京市怀柔区河防口村544号金隅兴发科技园 101408
Registration |
09:30 ~ 09:50 | Open Ceremony and Photo | |
10:00 ~ 10:50 | Naihong Hu | Some quantization questions related to the two-parameter quantum groups |
Tea Break | ||
11:10 ~ 12:00 | Vlaar Bart | Reflections on quantum integrability - the cylindrical structures at the origin of trigonometric K-matrices |
Lunch | ||
14:00 ~ 14:50 | Sheng Tan | On quantum groupoids and its applications to quantum double models |
15:00 ~ 15:50 | Yuze Ruan | Jones-Wassermann subfactor and $\mathbb{Z}/2\mathbb{Z}$-orbifold theory for modular categories |
Tea Break | ||
16:10 ~ 17:00 | Jiaheng Zhang | Lagrangian algebras in braided fusion 2-categories |
09:30 ~ 10:20 | Fang Li | On 2nd-stage quantization of quantum cluster algebras |
Tea Break | ||
10:40 ~ 11:30 | Haimiao Chen | On skein algebras of planar surfaces |
Lunch | ||
14:30 ~ 15:20 | Jingcheng Dong | Classification of certain weakly integral fusion categories |
Tea Break | ||
15:40 ~ 16:30 | Zhiqiang Yu | On the structure of pre-modular fusion categories of global dimension $p^2$ |
16:40 ~ 17:30 | Xiaoxue Wei | Algebras over a symmetric fusion category and integrations |
09:30 ~ 10:30 | Zhaobing Fan | Geometric approach to quantum algebras |
Tea Break | ||
10:40 ~ 11:30 | Zhixiang Wu | Algebras in pseudotensor categories |
Lunch | ||
14:30 ~ 17:30 | Afternoon Discussion |
09:30 ~ 10:20 | Libin Li | Casimir number: old and new |
Tea Break | ||
10:40 ~ 11:30 | Zhihua Wang | Invariants from the Sweedler power maps on integrals |
Lunch | ||
14:30 ~ 15:20 | Sébastien Palcoux | Exotic integral quantum symmetry |
Tea Break | ||
15:40 ~ 16:30 | An-si Bai | A universal property of the Drinfeld double of finite dimensional Hopf algebras |
16:40 ~ 17:30 | Longjun Wu | Down-up algebras in combinatorics |
09:30 ~ 10:20 | Yunnan Li | Rota-Baxter operators of weight 0 on groups and related structures |
Tea Break | ||
10:40 ~ 11:30 | Liang Chang | On 3-manifold invariants from Hopf algebras |
Lunch | ||
14:30 ~ 17:30 | Afternoon Discussion |
The notion of Rota-Baxter group of weight 1 was introduced by Guo, Lang and Sheng as the integration of Rota-Baxter Lie algebra of the same weight. How about the classical case of weight 0? On the other hand, Bardakov and Gubarev found that any Rota-Baxter group G of weight 1 associated with its descendent structure naturally produces a skew brace. When is it particularly a brace? A naive solution requiring G to be abelian only gives the trivial brace.
In order to answer such two questions, we redefine the notion of Rota-Baxter operator on groups, namely that of weight 0, and justify our new definition especially for Lie groups. Its related algebraic structures, such as relative Rota-Baxter operators on groups, pre-groups and the set-theoretic Yang-Baxter equation, can be discussed correspondingly. This talk is based on joint works with Yunhe Sheng and Rong Tang.