Research activities

2023

1. Moduli spaces of framed G-local systems on a marked surface, Koriyama Geometry and Physics Days "Stokes phenomena in geometry & physics", Nihon University, March 2024.

2. Geometry of the Fock-Goncharov-Shen’s moduli space, Kioicho Seminar "Spectral network, exact WKB analysis and higher Teichmüller theory", Josai University, March 2024.

3. Moduli spaces of decorated G-local systems and their stratifications, The 19th Kagoshima Algebra-Analysis-Geometry Seminar, Kagoshima University, February 2024.

4. Teichmüller and lamination spaces with pinnings, Symposium on Function Theory, University of Toyama, October 2023. {Slides}

5. Cluster K_2-structure on the moduli space of decorated twisted G-local systems, Summer School on Cluster Algebras 2023, August 2023 [Online].

6. Teichmüller and lamination spaces with pinnings, Topological Studies around Riemann Surfaces, the University of Tokyo, August 2023.

7. Moduli space of decorated G-local systems and skein algebras, Teichmüller Theory: Classical, Higher, Super and Quantum, Mathematisches Forschungsinstitut Oberwolfach, August 2023. 

8. Teichmüller and lamination spaces with pinnings, New Aspects of Teichmüller theory, the University of Tokyo, July 2023. 

9. Teichmüller and lamination spaces with pinnings, Tohoku Complex Analysis Seminar, Tohoku University, July 2023. 

10. Moduli space of decorated G-local systems and skein algebras, Skein Algebra and related topics, University of Science Vietnam National University Ho Chi Minh City, June 2023. 

11. Stratifications of the moduli space of decorated G-local systems and their relation to the braid varieties, ALTReT 2023, Tokyo Institute of Technology, May 2023. {Slides}{Proceedings}

12. Moduli space of decorated G-local systems and skein algebras, Geometry, Algebra and Physics Seminar at KIAS, KIAS, May 2023 [Online]. {Slides}

13. Moduli space of decorated G-local systems and skein algebras, Seminar on Geometric Topology and Higher Teichmüller theory, University of Science and Technology of China, April 2023 [Online]. 

2022

14. クラスター代数と曲面のトポロジー, MSJ spring meeting 2023, 企画特別講演, Chuo University, March 2023. {Slides}{Abstract}

15. Moduli space of decorated G-local systems and skein algebras, Mapping class groups and Quantum topology, March 2023. Wilson lines and the A=U problem for the moduli spaces of G-local systems, Trends in Cluster algebras 2022, September 2022 [Online].

16. Wilson lines and the A=U problem for the moduli spaces of G-local systems, Topological Studies around Riemann Surfaces, the University of Tokyo, September 2022 [Online].

17. 曲面の (量子) 幾何学とクラスター代数, N-KOOK Seminar, June 2022 [Online].

18. Unbounded sl(3)-laminations and their shear coordinates, Minami Osaka Daisu Seminar, Osaka Metropolitan University, May 2020 [Online].

19. Wilson lines on the decorated moduli spaces of G-local systems, Tohoku University Geometry Seminar, Tohoku University, May 2022 [Online] {Slides}.

20. Wilson lines and the A=U problem for the moduli spaces of G-local systems, YMSC Topology Seminar, Yau Mathematical Science Center, April 2022 [Online].

2021

21. Wilson lines and their Laurent positivity, Infinite Analysis 21, September 2021 [Online].

22. Sign stability of mapping classes on marked surfaces, Geometric Group Theory in East Asia, September 2021 [Online].

23. Wilson lines and their Laurent positivity, Topological Studies around Riemann Surfaces, the University of Tokyo, August 2021 [Online].

24. Sign-stable mutation loops and pseudo-Anosov mapping classes, Tokyo-Nagoya Algebra Seminar, the University of Tokyo, July 2021 [Online].

25. Wilson lines and their Laurent positivity, ALTReT 2021, June 2021 [Online].

26. Wilson lines and their Laurent positivity, Lie Theory and its Applications in Physics XIV, Institute for Nuclear Research and Nuclear Energy, Bulgaria, June 2021 [Online].

27. Skein and cluster algebras of marked surfaces without punctures for sl(3), Hiroshima University Topology-Geometry Seminar, Hiroshima University, June 2021 [Online].

28. Sign stability of mapping classes on marked surfaces, Geometry of Discrete Groups and Hyperbolic Spaces, RIMS, Kyoto University, June 2021 [Online][Slides].

29. Skein and cluster algebras of marked surfaces without punctures for sl(3), Differential Topology Seminar, Kyoto University, April 2021 [Online]{Slides}.

2020

30. Wilson lines and their Laurent positivity, Quantum Geometry and Representation Theory, Osaka City University, March 2021 [Online].

31. Sign stability of mapping classes on punctured surfaces, Topology Seminar, Osaka university, November 2020 [Hybrid].

32. Pseudo-Anosov properties in cluster algebras, Topology Symposium, the University of Tokyo, October 2020 [Online]. 

33. Algebraic entropy of sign-stable mutation loops, Cluster Algebras 2020, Shanghai Jiao Tong University, August 2020 [Online].

34. The moduli space of framed local systems (after V.V. Fock and A.B. Goncharov), Geometric structures on surfaces and the cluster algebra (Kioicho Suri Seminar series) , Josai University, August 2020 [Online].

35. "The monodromy of meromorphic projective structures" (after D. Allegretti and T Bridgeland), Geometric structures on surfaces and the cluster algebra (Kioicho Suri Seminar series), Josai University, August 2020 [Online].

36. Algebraic entropy of sign-stable mutation loops, Minami-Osaka Daisu Seminar, Osaka City University, June 2020 [Online] {slides}{talk video (in Japanese)}.

37. Algebraic entropy of sign-stable mutation loops, Representation Theory Seminar, RIMS, Kyoto University, June 2020 [Online].

38.  Algebraic entropy of sign-stable mutation loops, ToKoDi Topology Seminar, Tokyo Institute of Technology, May 2020 [Online].

39. Algebraic entropy of sign-stable mutation loops, Algebraic Geometry Seminar, Osaka University, May 2020 [Online] {slides}.  

2019

40. Algebraic entropy of sign-stable mutation loops, Various aspects of moduli spaces of Riemann surfaces, the University of Tokyo, January 2020.

41. Algebraic entropy of sign-stable mutation loops, Tuesday Seminar on Topology, the University of Tokyo, January 2020.

42. Cluster realization of Weyl groups and higher Teichmüller theory, Topological Studies around Riemann Surfaces, the University of Tokyo, September 2019.

43. Cluster realization of Weyl groups and higher Teichmüller theory, ALTReT 2019, Yamaki ryokan, May 2019 {slides}.

2018

44. Cluster realization of Weyl groups and higher Teichmüller theory, Séminaire GT3, IRMA, Université de Strasbourg, March 2019.

45. Cluster realization of Weyl groups and higher Teichmüller theory, MSJ spring meeting 2019, Tokyo Institute of Technology, March 2019.

46. Cluster realization of Coxeter groups, the 5th Workshop on Geometric Group Theory, Okinawaken Seinenkaikan, March 2019.

47. "Shear coordinates on the super-Teichmüller space" (after F. Bouschbacher), Progress on moduli spaces and hyperbolic geometry, the University of Tokyo, January 2019.

48. Cluster Dehn twists in cluster modular groups, East Asian Core Doctoral Forum on Mathematics 2019, Tohoku University, January 2019 {Slides}.

49. Cluster realization of Weyl groups associated with Kac-Moody Lie algebras, Infinite dimensional algebras, geometry and integrable systems, RIMS, Kyoto University, November 2018.

50. Cluster realizations of Coxeter groups and higher Teichmüller theory, Cohomological study of mapping class groups and related topics, IRMA, Université de Strasbourg, September 2018.

51. Cluster Dehn twists in cluster modular groups, Topological Studies around Riemann Surfaces, the University of Tokyo, August 2018.

52. Cluster Dehn twists in cluster modular groups, Intelligence of low-dimensional topology, RIMS, Kyoto University, May 2018.

53. Cluster realizations of Coxeter groups and their relations with higher Teichmüller spaces, Seminaire d'Algebre, Université Paris Diderot-Paris VII, May 2018.

54. Cluster realizations of Coxeter groups and their relations with higher Teichmüller spaces, Heidelberg Geometry Seminar, Universität Heidelberg, April 2018.

55. Cluster realizations of Coxeter groups and their relations with higher Teichmüller spaces, Séminaire GT3, IRMA, Université de Strasbourg, April 2018.

2017

56. Cluster Dehn twists in cluster modular groups, Low dimensional topology and number theory X, Kyushu University, March 2018.

57. Cluster Dehn twists in cluster modular groups, Riemann surfaces and discontinuous groups, Nagoya University, February 2018.

58. "Generalized shear coordinates on the moduli spaces of three-dimensional spacetimes." (after C. Meusburger and C. Scarinci), Symplectic geometry of moduli spaces, the University of Tokyo, January 2018.

59. Cluster Dehn twists in cluster modular groups, MCM2017: New development in Teichmuller space theory, Okinawa Institute of Science and Technology, November 2017.

60. On a Nielsen-Thurston classification theory on cluster modular groups, Topology and Geometry of Low-dimensional Manifolds, Nara Women's University, October 2017.

61. On a Nielsen-Thurston classification theory on cluster modular groups, Special day for Teichmuller theory, the University of Tokyo, October 2017.

62. On a Nielsen-Thurston classification theory on cluster modular groups, Topological Studies around Riemann Surfaces, the University of Tokyo, September 2017.

63. Lattice defects from monodromy, Mathematics in Interface, Dislocation and Strucuture of Crystals, Kyushu University, August 2017.

64. On a Nielsen-Thurston classification theory on cluster modular groups, Geometry and Physics Seminar, Tsinghua University, July 2017.

65. On a Nielsen-Thurston classification theory on cluster modular groups, Low-dimensional Topology Seminar, Osaka University, June 2017.

2016

66. クラスターモジュラー群上のNielsen-Thurston型力学理論について, 3rd Young Researchers Seminar on Geometric Group Theory, LeNessa Akazawa, March 2017.

67. Towards a Nielsen-Thurston type classification theory on cluster modular groups, MCM2016: Moduli spaces,Conformal Field Theories and Matrix Models, Okinawa Institute of Science and Technology, October 2016.