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Trends in Cluster Algebras 2022

Program and Slides

The schedule is in Japan Standard Time (=UTC/GMT+9hours)

  9/20(Tuesday) 9/21(Wednesday) 9/22(Thursday)
10:00~11:00 Aaron Chan Shunsuke Kano Tsukasa Ishibashi
11:10~12:10 Yoshiyuki Kimura Dylan Allegretti Xiaomeng Xu
  lunch lunch lunch
13:30~14:30 Myungho Kim Yilin Wu Euiyong Park
14:40~15:40 Eunjeong Lee Fang Li Fan Qin
15:50~16:50 Norihiro Hanihara Jiarui Fei Masaru Sugawara

9/20(Tuesday)

10:00~11:00 Aaron Chan, Towards additive categorification of cluster-like algebras associated to non-orientable surfaces

11:10~12:10 Yoshiyuki Kimura, Cluster twist automorphisms and compatible Poisson structures

(lunch)

13:30~14:30 Myungho Kim, Localizations for quiver Hecke algebras

14:40~15:40 Eunjeong Lee, Lagrangian fillings for Legendrian links of finite or affine type, and the foldings

15:50~16:50 Norihiro Hanihara, Higher cluster categories in representation theory

9/21(Wednesday)

10:00~11:00 Shunsuke Kano, Earthquake theorem for cluster algebras of finite type

11:10~12:10 Dylan Allegretti, Stability conditions and Teichmüller space

(lunch)

13:30~14:30 Yilin Wu, Relative cluster categories and Higgs categories

14:40~15:40 Fang Li, Study on cluster algebras via Newton polytopes: Laurent recurrence formula, positivity and polytope basis

15:50~16:50 Jiarui Fei, Kronecker Coefficients via Upper Cluster Algebras

9/22(Thursday)

10:00~11:00 Tsukasa Ishibashi, Wilson lines and the $\mathscr{A}=\mathscr{U}$ problem for the moduli spaces of $G$-local systems

11:10~12:10 Xiaomeng Xu, A conjectural relation between the canonical bases and the WKB analysis

(lunch)

13:30~14:30 Euiyong Park, Extended crystals and Hernandez-Leclerc categories

14:40~15:40 Fan Qin, Bracelets bases are theta bases

15:50~16:50 Masaru Sugawara, Quantum dilogarithm identities of infinite product and quantum affine algebras