Makoto Yamashita

Makoto Yamashita / 山下 真

at Ochanomizu Universityat Ochanomizu University
at Tokyo (2017.11.02),
by Mika Furuya

I do and teach mathematics as Associate Professor at the Department of Mathematics of Ochanomizu University. My research interest is in operator algebras, quantum groups, and noncommutative geometry.

お茶の水女子大学 基幹研究院 自然科学系所属の准教授として,数学の研究と理学部数学科での教育をしています。

Direction for visitors Curriculum Vitæ (PDF) relevant papers (BibTEX)

Contact

  • Email: , my PGP public key
  • Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, 112-8610 Tokyo, Japan
  • 〒112-8610 東京都文京区大塚 2-1-1 お茶の水女子大学 理学部数学科

Schedule

2017

  • November 17–19: Kusatsu

2018

  • January 24–26: Kyoto
  • June 11–15: Edinburgh
  • October 14–19: Banff

Upcoming Guests

  • Late January–mid February, 2018: Valerio Proietti (Copenhagen)

Research

Preprints

  1. with S. Chakraborty; Tracing cyclic homology pairings under twisting of graded algebras (arXiv:1709.03337)
  2. with S. Neshveyev; Categorically Morita equivalent compact quantum groups (arXiv:1704.04729)
  3. Deformation of algebras associated to group cocycles (arXiv:1107.2512)

Papers

  1. with J. Bichon and S. Neshveyev; Graded twisting of comodule algebras and module categories, to appear in J. Noncommut. Geom. (arXiv:1604.02078)
  2. with S. Neshveyev; A few remarks on the tube algebra of a monoidal category, to appear in Proc. Edinb. Math. Soc. (arXiv:1511.06332)
  3. Monodromy of the Gauss–Manin connection for deformation by group cocycles, to appear in J. Noncommut. Geom. (arXiv:1207.6687)
  4. with S. Neshveyev; Poisson boundaries of monoidal categories, Annales scientifiques de l'École Normale Supérieure (4)Ann. Sci. Éc. Norm. Super., série 4 50 (2017), no. 4, 927–972. (arXiv:1405.6572)
  5. with J. Bichon and S. Neshveyev; Graded twisting of categories and quantum groups by group actions, Annales de l'Institut FourierAnn. Inst. Fourier 66 (2016), no. 6, 2299–2338. (arXiv:1506.09194)
  6. with S. Neshveyev; Towards a classification of compact quantum groups of Lie type, Abel Symposia, vol. 12Abel Symposia 12 (2016), 225–257. (arXiv:1603.05519)
  7. with S. Neshveyev; Drinfeld center and representation theory for monoidal categories, Communications in Mathematical PhysicsComm. Math. Phys. 345 (2016), no. 1, 385–434. (arXiv:1501.07390)
  8. with S. Neshveyev; Classification of non-Kac compact quantum groups of SU(n) type, International Mathematics Research NoticesInt. Math. Res. Not., 2016 (2016), no. 11, 3356–3391. (arXiv:1405.6574)
  9. with S. Neshveyev; Categorical duality for Yetter–Drinfeld algebras, Documenta MathematicaDoc. Math. 19 (2014), 1105–1139. (arXiv:1310.4407)
  10. with S. Neshveyev; Twisting the q-deformations of compact semisimple Lie groups, Journal of the Mathematical Society of JapanJ. Math. Soc. Japan 67 (2015), no. 2, 637–662. (arXiv:1305.6949)
  11. with K. De Commer and A. Freslon; CCAP for universal discrete quantum groups, Communications in Mathematical PhysicsComm. Math. Phys. 331 (2014), no. 2, 677–701. (arXiv:1306.6064)
  12. with K. De Commer; Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory, Theory and Applications of CategoriesTheory Appl. Categ. 28 (2013), no. 31, 1099–1138. (arXiv:1211.6552)
  13. with K. De Commer; Tannaka–Kreĭn duality for compact quantum homogeneous spaces. II. Classification of quantum homogeneous spaces for quantum SU(2), Journal für die reine und angewandte MathematikJ. Reine Angew. Math. 708 (2015), 143–171. (arXiv:1212.3413)
  14. with A. Rennie and A. Sitarz; Twisted cyclic cohomology and modular Fredholm modules, Symmetry, Integrability and Geometry: Methods and ApplicationsSIGMA Symmetry Integrability Geom. Methods Appl. 9, 51. (arXiv:1111.6328)
  15. with K. De Commer; A construction of finite index C*-algebra inclusions from free actions of compact quantum groups, Publications of the Research Institute for Mathematical SciencesPubl. Res. Inst. Math. Sci. 49 (2013), no. 4, 709–735. (arXiv:1201.4022)
  16. Operator algebra of foliations with projectively invariant transverse measure, Publications of the Research Institute for Mathematical SciencesPubl. Res. Inst. Math. Sci. 49 (2013), no. 4, 679–708. (arXiv:0711.0790)
  17. Equivariant comparison of quantum homogeneous spaces, Communications in Mathematical PhysicsComm. Math. Phys. 317 (2013), no. 3, 593–614. (arXiv:1109.2991)
  18. Index character associated with the projective Dirac operator, Proceedings of the American Mathematical SocietyProc. Amer. Math. Soc. 141 (2013), no. 8, 2923–2932. (arXiv:1107.3007)
  19. On subfactors arising from asymptotic representations of symmetric groups, Proceedings of the American Mathematical SocietyProc. Amer. Math. Soc. 140 (2012), no. 1, 249–261. (arXiv:0912.0820)
  20. Connes–Landi deformation of spectral triples, Letters in Mathematical PhysicsLett. Math. Phys. 94 (2010), no. 3, 263–291. (arXiv:1006.4420)

Conference talks and other lectures

  1. Integrating Gauss–Manin connection by group cohomology, RIMS Workshop: Recent Developments in Operator Algebras, Kyoto, September 6, 2017
  2. Quantum group symmetry and categorical duality, lecture series at Nagoya University, Nagoya, June 26–30, 2017
  3. Categorical duality for compact quantum group actions, lecture series at Topological quantum groups and harmonic analysis, Seoul, May 15–19, 2017
  4. Harmonic analysis on monoidal categories, lecture series at McGill University, April 18–21, 2017
  5. Weak Morita equivalence of compact quantum groups, Non-Commutative Analysis, Chennai, February 10, 2017
  6. Drinfeld center, tube algebra, and representation theory for monoidal categories, Topological quantum groups and Hopf algebras, Warsaw, November 16, 2016
  7. Categorical duality for quantum group actions, The 9th MSJ-SI: Operator Algebras and Mathematical Physics, Sendai, August 8, 2016
  8. Subfactor and operator system theoretic aspects of categorical Poisson boundary, Von Neumann Algebras, Bonn, July 5, 2016
  9. Drinfeld center and representation theory for monoidal categories, 44th Canadian Annual Symposium on Operator Algebras and their Applications (COSy), Montreal, June 14, 2016
  10. Drinfeld center, tube algebra, and representation theory for monoidal categories, Quantum groups: geometry, representations, and beyond, Oslo, May 13, 2016
  11. Unitary half-braiding and bimodules over the Longo–Rehren/SE-inclusion, Workshop Classification and Dynamical Systems II: von Neumann algebras, Institut Mittag-Leffler, April 22, 2016
  12. コンパクト群の量子化とテンソル圏的構造の分類,「新しい幾何学に向かって–2」, Tokyo University of Science, February 28, 2016
  13. Classification problems on the compact quantum groups of Lie type, The Abel Symposium 2015, MS Finnmarken, August 9, 2015
  14. Poisson boundaries of monoidal categories, the 8th Korean Operator Algebra Seminar, Busan, April 12, 2015
  15. Lecture series on C*-tensor categories and quantum groups at Inst. Math. Sci, Indian Inst. Tech. Madras, and Chennai Math. Inst., March 11–18, 2015
  16. Deformation of algebras from group 2-cocycles, Oberwolfach mini-workshop “Deformation Quantization: between formal to strict”, February 19, 2015
  17. Classification of quantum groups and their actions by categorical duality, RIMS 共同研究「作用素環の分類理論とその周辺」, Kyoto, February 2 & 3, 2015
  18. Equivariant KK-theory and the Borsuk–Ulam theorem for quantum spheres, The Second China-Japan Conference on Noncommutative Geometry and K-Theory, Okinawa, October 6, 2014
  19. Autoequivalences of tensor categories for twisted q-deformations of quantum groups, From Poisson brackets to universal quantum symmetries, Warsaw, August 18, 2014
  20. Classification of SU(n)-like non-Kac compact quantum groups, Quantum Groups and Operator Algebras, Münster, May 9, 2014
  21. Poisson boundary of monoidal categories, Free probability and the large N limit, IV, Berkeley, March 25, 2014
  22. Classification of SUq(n)-like quantum groups by categorical duality, Danish-Norwegian Operator Algebra Workshop, Copenhagen, December 12, 2013
  23. Central approximation properties of free quantum groups, 2013年作用素論・作用素環論研究集会, Ochanomizu University, November 22, 2013
  24. Tannaka-Krein duality for quantum homogeneous spaces, Oberwolfach workshop “Noncommutative Geometry”, September 14, 2013
  25. Central approximation properties of free quantum groups, Oberwolfach workshop “C*-Algebren”, August 30, 2013
  26. Equivariant comparison of quantum homogeneous spaces, Groups, Dynamical Systems and C*-Algebras, Münster, August 23, 2013
  27. Classification of quantum homogeneous spaces, Theme Week on Quantum Groups and Hopf Cyclic Homology, Fields Institute, Toronto University, June 13, 2013
  28. Classification of quantum homogeneous spaces, Noncommutative Geometry of Quantum SU(2) revisited, the Mathematical Institute of the Polish Academy of Sciences, Warsaw, December 18, 2012
  29. Gauss–Manin connection for strict deformation associated with group 2-cocycles, RIMS研究集会「作用素環論の最近の発展と関連する話題について」, September 26, 2012
  30. Deformation of algebras from group 2-cocycles, 非可換幾何学と数理物理学 2012, Keio University, September 15, 2012
  31. K-theoretic invariance of C*-algebras under continuous deformation with quantum symmetry, 第51回実函数論函数解析学合同シンポジウム, Tokyo University of Science, August 7, 2012
  32. Deformation of algebras associated to group cocycles, Noncommutative Geometry and Quantum Groups, Oslo, June 13, 2012
  33. Equivariant comparison of quantum homogeneous spaces, Topology and Analysis on Foliations (The 11th International Conference by Graduate School of Mathematics, Nagoya University), Nagoya, March 23, 2012
  34. Deformation of algebras associated with group cocycles, Group actions and K-theory, Department of Mathematics, Kyoto University, March 13, 2012
  35. On subfactors arising from asymptotic representations of symmetric groups, Danish-Norwegian workshop on operator algebras, Oslo, December 6, 2011
  36. Equivariant comparison of quantum homogeneous spaces, Banach Center research group New Results in Noncommutative Topology, the Mathematical Institute of the Polish Academy of Sciences, Warsaw, November 7, 2011
  37. On subfactors arising from asymptotic representations of symmetric groups, Representations of Braid and Symmetric Groups, New Approaches WIMCS Mathematical Physics Cluster Workshop, Aberystwyth, May 3, 2011
  38. Connes-Landi Deformation of Spectral Triples, EU - NCG 4th Annual Meeting, Bucharest, April 27, 2011
  39. Connes-Landi deformation of spectral triples, RIMS研究集会「作用素環論の最近の進展について」, Kyoto, September 2, 2010
  40. Connes-Landi deformation of spectral triples, 非可換幾何学と数理物理学 2010, Keio University, July 2, 2010
  41. Spectral Triples after Connes, RIMS共同研究「作用素環論と特異点の幾何学」, Kyoto, January 2010
  42. Subfactors from the infinite symmetric group inclusion, Geometry and Analysis, Paris, December 2009
  43. Right handed vector fields on homogeneous 3-manifolds, International Workshop on Noncommutative Geometry and Physics, Keio University, February 18, 2009
  44. Operator Algebra of Transversely Affine Foliations, Japan Math Society annual meeting, March 2008
  45. Affine holonomy foliations, RIMS共同研究「作用素環と数理物理学の研究」 January 23, 2008
  46. Periodic cyclic (co)homology of foliation algebras, Functional Analysis Junior Workshop, September 10, 2007

Book

  1. 『量子群点描』 共立出版 / Elements of Quantum Groups (in Japanese), Kyoritsu Shuppan, 2017 May, ISBN 978-4-320-11313-8

Notes

  1. Noncommutative differential calculus, note of Boris Tsygan's lecture given at Copenhagen masterclass in 2015
  2. Graph complexes, note of Thomas Willwacher's lecture given at Copenhagen masterclass in 2015
  3. Orbit Equivalence and Operator Algebras, note of Narutaka Ozawa's lecture given during winter semester 2006–2007

Non-mathematical

  1. with Masamichi Yamashita and M. Saigusa, Stand-Alone Temperature / Data Logger for Space Exposure Experiment [in Japanese], Biological sciences in space 21(2), 27–31, 2007-08-01, CiNii 10019824409

Community services

  1. 日本数学会 地方区代議員 / Representative at Math Society of Japan general assembly (March 2017–February 2018)
  2. 第50回関数解析研究会
  3. 日本数学会『数学』 常任編集委員 / Editor of Sugaku for Math Society of Japan (translated as Sugaku Expositions (July 2014–June 2016)
  4. 2013年作用素論・作用素環論研究集会

Awards

  • 日本数学会賞建部賢弘特別賞 / MSJ Takebe Katahiro Prize, The Mathematical Society of Japan (September 2016)

Teaching

Seminar

Current working seminar

2017 Fall/Winter: working seminar on operator algebras and noncommutative geometry

  • QFT
  • Solution of the Horn conjecture after Knutson–Tao

Please contact me if you are interested in giving a talk at Ochanomizu University.

Working seminar 2017 S/S

Working seminar on operator algebras and noncommutative geometry

  • A new proof of Tikuisis–Winter–White theorem (03/16, 04/05)
  • Cyclotomicity of S-matrices (04/11)
  • Khintchine and Grothendieck inequalities: classical and noncommutative (04/25, 05/09)
  • Cyclic homology of quantum groups (05/02)
  • Modular flow in Poisson geometry (05/24)
  • Bessis–Moussa–Villani conjecture (05/31)
  • Grothendieck inequality on C*-algebras (06/07)
  • Nuclearity and amenability (06/21)
  • Equivariant K-groups and Verlinde algebra (07/04, 07/11)
  • Uniquely ergodic free minimal Z-action on manifolds (07/25)
  • Simple nuclear T-C*-algebra not equivariantly isomorphic to its opposite (08/01)

Past research seminars

  1. Sven Raum (Univ. Kyoto (RIMS) / Univ. Münster)
    • Title: C*-simplicity of locally compact Powers groups
    • Date & time: July 23 (Thu) 2015, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633
  2. Mikaël Pichot (McGill Univ.)
    • Title: Entropy invariants
    • Date & time: July 13 (Mon) 2015, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633
  3. Hochschild / cyclic seminar at Copenhagen (jointly organized with Tyrone Crisp)
  4. Jennifer Maier (Univ. Hamburg)
    • Title: Construction of a modular category through equivariant topological field theories
    • Date & time: February 19 (Tue) 2013, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633
  5. Kenny De Commer (Univ. Cergy-Pontoise)
    • Title: Twists and projective representations for locally compact quantum groups
    • Date & time: September 20 (Thu) 2012, 16:40–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633
  6. Yuki Arano (Univ. Tokyo)
    • Title: Tannaka–Krein duality for compact quantum groups
    • Date & time: August 24 (Fri) 2012, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629
  7. Christian Voigt (Univ. Münster)
    • Title: Quantum groups and K-theory
    • Date & time: July 27 (Fri) 2012, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629
  8. Catherine Oikonomides (Univ. Tokyo)
    • Title: The transverse fundamental class of a foliation: some examples.
    • Date & time: July 5 (Thu) 2012, 16:40–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629
  9. Luca Tomassini (Univ. Rome “Tor Vergata”)
    • Title: The Moyal plane: distances between translated states and Pythagoras-like relations
    • Date & time: June 28 (Thu) 2012, 16:40–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629
  10. Shweta Sharma (Univ. Paris Sud XI, Orsay)
    • Title: Power series of SP-type and their resurgence algebra
    • Date & time: April 12 (Thu) 2012, 16:30–18:00
    • Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633