by Kei Hasegawa |

Assistant professor, Department of Mathematics, Kyoto university

e-mail: y.arano at math.kyoto-u.ac.jp

2017年度後期

解析学演義II(講読)

微分積分学演義(工T9,T12)

2018年度前期

解析学演義I

線形代数学演義A(農A4,A8)

2018年度後期

解析学入門演習

線形代数演義B(農A4,A8)

I am interested in **operator algebras, mainly in quantum groups**.

- Maximalization of Quantum Group Equivariant Hilbert C*-modules, Master thesis
- Unitary spherical representations of Drinfeld doubles, arXiv:1410.6238, Journal für die reine und angewandte Mathematik 742(2018), 157-186
- (with Y. Kubota) A categorical perspective on the Atiyah-Segal completion theorem in KK-theory, arXiv:1508.06815, Journal of Noncommutative Geometry 12(2018) no. 2, 779-821
- (with K. De Commer) Torsion-freeness for fusion rings and tensor C*-categories, arXiv:1511.07982
- (with Y. Kubota) Compact Lie group actions with continuous Rokhlin property , arXiv:1512.06333, Journal of Functional Analysis, 272(2017), no.2, 522-545
- (with S. Vaes) C*-tensor categories and subfactors for totally disconnected groups, arXiv:1602.03047, Operator Algebras and Applications, The Abel Symposium 2015, Springer, 2016, 1-43.
- Comparison of unitary duals of Drinfeld doubles and complex semisimple Lie groups, arXiv:1605.00866, Communications in Mathematical Physics, 351(2017), no.3, 1137-1147
- (with T. de Laat and J. Wahl) Howe-Moore type theorems for quantum groups and rigid C*-tensor categories, arXiv:1605.08658, Compositio Mathematica, 154(2018), no.2, 328-341
- (with T. de Laat and J. Wahl) The Fourier algebra of a rigid C*-tensor category, arXiv:1707.01778, Publication RIMS, 54(2018), no.2, 393-410

- Tannaka-Krein duality for compact quantum groups (after Woronowicz), Operator algebra seminar, Department of Mathematics, Ochanomizu university, August 2012.
- On operator amenability of locally compact groups (after Ruan), 47th Functional analysis meeting, Sendai, August 2012.
- On full group C*-algebras of discrete quantum groups, Operator algebra seminar, Graduate School of Mathematical Sciences, The University of Tokyo, May 2013.
- On full group C*-algebras of discrete quantum groups, "Recent advances in operator algebras", RIMS, Kyoto university, September 2013.
- Easy quantum groups (after Banica), 48th Functional analysis meeting, Kusatsu, September 2013.
- Toward the classification of irreducible unitary spherical representations of the Drinfeld double of SUq(3), Operator algebra seminar, Graduate School of Mathematical Sciences, The University of Tokyo, June 2014.
- Central property (T) for quantum groups, 49th Funcitonal analysis meeting, Gujo, August 2014.
- Irreducible spherical unitary representations of the Drinfeld double of SU_q(3), Recent Developments in Operator Algebras, RIMS, September 2014.
- Unitary spherical representations of Drinfeld doubles, Kansai Operator Algebra Seminars, Shirahama, November 2014.
- Central property (T) for SUq(2n+1), Operator algebra seminar, Graduate School of Mathematical Sciences, the University of Tokyo, December 2014.
- Unitary spherical representations of Drinfeld doubles, Operator algebra seminar, Kyushu University, December 2014.
- Unitary spherical representations of Drinfeld doubles, 2015 East Asian Core Doctoral Forum, National Taiwan University, January 2015.
- Central property (T) for discrete quantum groups, Seminar operator algebras, KU Leuven, February 2015.
- Unitary spherical representations of Drinfeld doubles, TACT seminar, Vrije Universiteit Brussel, February 2015.
- Unitary spherical representations of Drinfeld doubles, KOAS, Department of Mathematics, Kyoto University, March 2015.
- Unitary spherical representations of Drinfeld doubles, Infinite analysis seminar, the University of Tokyo, May 2015.
- Unitary spherical representations of Drinfeld doubles, Representation theory of groups, quantum groups, and operator algebras, University of Copenhagen, June 2015.
- Diagrammatic method for representation theory of complex semisimple (quantum) groups (after Ghosh-Jones), 50th Functional analysis meeting, Karuizawa, September 2015.
- Unitary spherical representations of Drinfeld doubles, Operator algebra seminar, the University of Glasgow, October 2015.
- Unitary representations of Drinfeld doubles, Facets of quantum homogeneous spaces, Vrije Universiteit Brussel, December 2015.
- Unitary representations of Drinfeld doubles, C*-algebra seminar, University of Oslo, February 2016.
- Compact Lie group actions with continuous Rokhlin property, Operator algebra seminar, KU Leuven, June 2016.
- Unitary representations of Drinfeld doubles, Séminaire d'Algèbres d'Opérateurs, Université Paris Diderot, June 2016.
- Unitary representations of Drinfeld doubles, Workshop "Von Neumann Algebras", Hausdorff Research Institute for Mathematics, July 2016.
- C*-tensor categories and subfactors for totally disconnected groups, Operator algebra seminar, Kyushu University, August 2016.
- Torsion-freeness for fusion rings and tensor C*-categories, 51st Functional analysis meeting, Kusatsu, August 2016.
- Representation theory of Drinfeld doubles, "Recent Developments in Operator Algebras", RIMS, September 2016.
- C*-tensor categories and subfactors for totally disconnected groups, Operator algebra seminar, the University of Tokyo, October 2016.
- Representation theory of Drinfeld doubles, Topological quantum groups and Hopf algebras, IMPAN, November 2016.
- Torsion-freeness for fusion rings and tensor C*-categories, KOAS, RIMS, November 2016.
- Representation theory of Drinfeld doubles, Langlands and Harmonic Analysis, Atami, March 2017.
- Cohomology of quantum groups, KOAS, RIMS, April 2017.
- Representation theory of Drinfeld doubles (4 lectures), Operator algebras: subfactors and their applications, Isaac Newton Institute, April-May 2017.
- Compact Lie group actions with continuous Rokhlin property, Topological quantum groups and harmonic analysis, SNU, May 2017.
- Rokhlin actions of fusion categories, Operator algebra seminar, the University of Tokyo, July 2017.
- Rokhlin actions of tensor categories, Workshop on Operator theory and operator algebras, Ritsumeikan University, November 2017.
- Rokhlin actions of tensor categories, Kansai operator algebra seminar, Osaka Kyoiku university, December 2017.
- Rokhlin actions of tensor categories, Quantum homogeneous spaces, ICMS, June 2018.
- Actions of tensor categories, Operator algebras and their applications, IPM, January 2019.
- Introduction to complex quantum groups, Recent advances in tensor categories and operator algebras, RIMS, January 2019.