Faculty Database - YOSHIDA Takahiko

■ Books and Papers

1.	2024/07	Article	Adiabatic Limit, Theta Function, and Geometric Quantization Symmetry, Integrability and Geometry: Methods and Applications 20 (Single)
2.	2023/04	Article	RR-BS correspondence – a localization phenomenon of the index in Geometric quantization SUGAKU expositions 36,pp.35-66 (Single)
3.	2018	Article	Adiabatic limits, theta functions, and geometric quantization (Single)
4.	2016	Article	Equivariant local index and symplectic cut RIMS Kôkyûroku 2016,pp.161-167 (Single)
5.	2014	Article	The equivariant local index of the reduced space in the symplectic cutting MIMS Technical Report 00044,pp.1-7 (Single)
6.	2014	Article	Torus fibrations and localization of index III Comm. Math. Phys. 327(3),pp.665-689 (Collaboration)
7.	2014	Article	Torus fibrations and localization of index II Comm. Math. Phys. 326(3),pp.585-633 (Collaboration)
8.	2013	Article	Equivariant local index RIMS Kôkyûroku Bessatsu B39,pp.215-232 (Single)
9.	2012	Article	Geodesic flows on spheres and the local Riemann-Roch numbers UTMS Preprint Series 2012-12,pp.1-12 (Collaboration)
10.	2011	Article	Equivariant local index MIMS Technical Report (00037) (Single)
11.	2011	Article	Local torus actions modeled on the standard representation Adv. Math 227(5),pp.1914-1955 (Single)
12.	2010	Article	RR=#BS via localization of index MIMS Technical Report (00029),pp.41 pages (Single)
13.	2010	Article	RR=#BS via localization of index, Trends in Mathematics 12(1),pp.1-41 (Single)
14.	2010	Article	Torus fibrations and localization of index I J. Math. Sci. Univ. Tokyo 17(1),pp.1-26 (Collaboration)
15.	2010	Article	Torus fibrations and localization of index pp.93-97 (Single)
16.	2009	Article	On manifolds which are locally modeled on the standard representation of a torus Adv. Stud. Pure Math. 55,pp.353-363 (Single)
17.	2008	Article	On liftings of local torus actions to fiber bundles Contemp. Math. 460,pp.391-401 (Single)
18.	2007	Article	Locally standard torus fibrations Proceedings of 33rd Symposium on Transformation Groups pp.107-118 (Single)
19.	2007	Article	On local torus actions modeled on the standard representation RIMS Kôkyûroku (1569),pp.94-106 (Single)
20.	2007	Article	On the existence of symplectic structures compatible with local torus actions Proceedings of 34th Symposium on Transformation Groups pp.91-96 (Single)
21.	2006	Article	Twisted toric structures UTMS Preprint (2006-10),pp.40 (Single)
22.	2002	Article	Symplectic toric space associated to triangle inequalities Geom. Dedicata 93(1),pp.25-36 (Collaboration)
23.	2001	Article	The Generating function for certain cohomology intersection pairings of the moduli space of flat connections J. Math. Sci. Univ. Tokyo 8(3),pp.541-558 (Single)
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■ Conference Presentations

1.	2020/01/25	An index theoretic approach to RR-BS (Workshop on Topics in the Geometry and Topology of moduli spaces)
2.	2020/01/25	Does the quantum Hilbert space depend on polarizations? (Workshop on Topics in the Geometry and Topology of moduli spaces)
3.	2019/12/09	Adiabatic limits, Theta functions, and Geometric quantization (2019 Canadian Mathematical Society Winter Meeting)
4.	2018/10/22	Adiabatic limits, theta functions, and geometric quantization (Symplectic Geometry Seminar)
5.	2017/07/20	Theory of local index and its applications (Workshop on loop spaces, supersymmetry and index theory)
6.	2014/08/10	Torus fibrations and localization of index (ICM 2014, Satellite Conference -Topology of Torus actions and applications to Geometry and Combinatorics)
7.	2014/07/01	Torus fibrations and localization of index (NCTS (South) Geometry Conference - Mathematical New Goals)
8.	2013/08/30	Equivariant local index and symplectic cut (The 5th International Conference on Geometry and Quantization)
9.	2013/01/26	Torus fibrations and localization of index (UK-Japan Mathematical Forum)
10.	2011/11/29	Equivariant local index (Toric Topology 2011 in Osaka)
11.	2011/09/13	Equivariant local index (The 4th International Conference on Geometry and Quantization)
12.	2011/09/08	Equivariant local index (International Conference "Toric Topology and Automorphic Functions")
13.	2011/06/14	Equivariant local index (Geometry of Transformation groups and Combinatorics)
14.	2010/12/03	Equivariant local index and quantization conjecture (Toric Geometry, Toric topology, and Combinatorics)
15.	2010/08/19	Torus fibrations and localization of index (The International Conference "Geometry, Topology, Algebra and Number Theory, Applications")
16.	2010/08/07	Torus fibrations and localization of index
17.	2010/05/03	Torus fibrations and localization of index (Workshop on Toric Topology and Related Topics)
18.	2010/04/20	Torus fibrations and localization of index
19.	2010/02/22	RR=#BS via localization of index (KAIST Toric Topology Workshop 2010)
20.	2009/12/10	Torus fibrations and localization of index
21.	2009/10/20	Torus fibrations and localization of index
22.	2009/09/17	Torus fibrations and localization of index (Geometry for Quantization 2009)
23.	2009/09/08	Torus fibrations and localization of index (Third International Conference on Geometry and Quantization)
24.	2009/06/10	Acyclic polarizations and localization of Riemann-Roch numbers
25.	2009/02/25	Acyclic polarizations and localization of Riemann-Roch numbers
26.	2009/01/19	Acyclic polarizations and localization of Riemann-Roch numbers
27.	2008/12/31	Acyclic polarizations and localization of Riemann-Roch numbers (Geometry Seminar)
28.	2008/12/27	Acyclic polarizations and localization of Riemann-Roch numbers (Fujisan one-day workshop in Geometry and Topology)
29.	2008/12/11	Acyclic polarizations and localization of Riemann-Roch numbers (Ikuta International workshop on Symplectic Geometry)
30.	2008/12/10	Acyclic polarizations and localization of Riemann-Roch numbers
31.	2008/09/25	Acyclic polarizations and localization of Riemann-Roch numbers
32.	2008/07/07	Acyclic polarizations and localization of Riemann-Roch numbers, (New Horizons in Toric Topology)
33.	2008/02/12	On local torus actions modeled on the standard representation
34.	2008/01/23	On counting lattice points and Riemann-Roch numbers in Lagrangian fibrations (Symplectic Geometry Seminar)
35.	2007/12/12	On local torus actions modeled on the standard representation
36.	2007/11/24	On the existence of symplectic structures compatible with local torus actions
37.	2007/09/22	Classification of locally toric lagrangian fibrations
38.	2007/07/26	On local torus actions modeled on the standard representation (Summer School on Symplectic Geometry and Toric Topology)
39.	2007/05/30	On local torus actions modeled on the standard representation
40.	2007/03/29	On local torus actions modeled on the standard representation
41.	2006/11/24	Locally standard torus fibrations
42.	2006/11/15	Acyclic polarizations and localization of Riemann-Roch numbers (New Horizons in Toric Topology)
43.	2006/11/15	Locally standard torus fibrations (MSJ-IHES Joint Workshop on Noncommutativity)
44.	2006/05/30	Twisted toric structures (International Conference on Toric Topology)
45.	2006/02/16	Twisted toric structures
46.	2003/12/20	Perfect Bott-Morse function on Polygon space (International Symposium on Recent Advances in Mathematics and its Applications)
47.	2003/02/21	A prequantum line bundle on the moduli space of flat connections on a punctured Riemann surface (The 10th Japan-Korea school of knots and links)
48.	2002/12/15	On the geometric quantization of the moduli space of flat connections on a Riemann surface with marked points (International Symposium on Pure and Applied Mathematics)
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■ Academic Qualifications

1.	1997/04～2003/03	〔Doctorial Course〕, Graduate School, Division of Mathematical Sciences, The University of Tokyo, Completed, Ph.D (Mathematical Science)
2.	1993/04～1997/03	Mathematics, Faculty of Science, Tohoku University, Graduated,

■ Academic Associations Membership

1.

1999/10

Mathematical Society of Japan

■ Research Topics, Consignment Studies & KAKENHI Researches

1.	2012/04～2015/03	A theory of local indices for Dirac-type operators and the geometric quantization (Key Word : )
2.	2010/04～2012/03	Localization phenomena on indices of Dirac-type operators and singular Lagrangian fibrations (Key Word : )
3.	2008/04～2010/03	Local torus actions on Lagrangian fibrations (Key Word : )

■ Current Specialized Field

Geometry (Key Word：symplectic geometry)