View on GitHub

Advances in Cluster Algebras 2023

Program and Slides

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

  3/22(Wednesday) 3/23(Thursday) 3/24(Friday)
10:00~11:00 Ivan Chi-Ho Ip Junya Yagi Naoki Fujita
11:15~12:15 Wataru Yuasa Yu Qiu Kota Murakami
  lunch lunch lunch
13:30~14:30 Takeru Asaka Peigen Cao Yuya Mizuno
14:45~15:45 Takeyoshi Kogiso Yasuaki Gyoda Takao Suzuki
16:00~17:00 Michihisa Wakui Sota Asai Mikhail Bershtein

3/22(Wednesday)

10:00~11:00 Ivan Chi-Ho Ip, Regular Positive Representations

11:15~12:15 Wataru Yuasa, Cluster and Skein algebras of unpunctured surfaces for $\mathfrak{sp}_4$

13:30~14:30 Takeru Asaka, Some calculations about earthquake maps in the cross ratio coordinates

14:45~15:45 Takeyoshi Kogiso, Two deformations of a Markov equation and related topics

16:00~17:00 Michihisa Wakui, Examples of quiver mutation loops and partition $q$-series related to affine quivers of type $A$

3/23(Thursday)

10:00~11:00 Junya Yagi, Cluster transformations, the tetrahedron equation and three-dimensional gauge theories

11:15~12:15 Yu Qiu, Exchange graph of partial cluster tilting objects and subsurface collapsing

13:30~14:30 Peigen Cao, Cluster-additive functions and tropical points

14:45~15:45 Yasuaki Gyoda, Exchange quiver of root systems, generalized path algebras and cluster algebras

16:00~17:00 Sota Asai, The rigid parts of the elements of the real Grothendieck groups

3/24(Friday)

10:00~11:00 Naoki Fujita, Toric degenerations and Newton-Okounkov bodies of flag varieties arising from cluster structures

11:15~12:15 Kota Murakami, Categorifications of deformed symmetrizable generalized Cartan matrices

13:30~14:30 Yuya Mizuno, Fans and polytopes in tilting theory

14:45~15:45 Takao Suzuki, Cluster algebra and $q$-Painlevé equation: higher order generalization and degeneration structure

16:00~17:00 Mikhail Bershtein, $q$-Painleve equations, mutations and reductions