Topological invariants through scattering theory and noncommutative geometry
Official website from Nagoya University
Contact:
Serge Richard (richard@math.nagoyau.ac.jp), Rm. 237 in Sci. Bldg. A, Nagoya University

Aim :
1) Study topological properties of surface states through scattering theory and noncommutative geometry
2) Provide a challenging environment where students can learn current physics and mathematics simultaneously

Members :
S. Richard (PI), Graduate school of mathematics, Nagoya University
Y. Kawaguchi, Department of applied physics, Nagoya University
Y. Tanaka, Department of applied physics, Nagoya University
H. Moriyoshi, Graduate school of mathematics, Nagoya University

Students involved in the research program :
D. Parra (Postdoc), Santiago de Chili
H. Inoue (M2, D1), Graduate school of mathematics, Nagoya University
S. Voleti (U4), Department of applied physics, G30 program, Nagoya University
D. Cong Bui (U3), Department of automotive engineering, G30 program, Nagoya University
Nguyen Song Ha (U2, U3), Department of physics, G30 program, Nagoya University
N. Tsuzu (U3), Graduate school of mathematics, Nagoya University

Invitations to Nagoya :
R. Tiedra de Aldecoa, from Dec. 29, 2018 to Jan. 27, 2019
P. Miranda, from Sept. 16 to Sept. 19, 2018
D. Parra, from Sept. 9 to Sept. 19, 2018
J. Faupin, from June 27 to July 5, 2018
C. Bourne, from Apr. 5 to Apr. 10, 2018
H. Obuse, from Apr. 5 to Apr. 7, 2018
M. Lein, from Apr. 5 to Apr. 7, 2018
Y. Ogata , April 6, 2018
M. Sato , April 6, 2018
J.C. Cuenin, from Feb. 18 to Mar. 3, 2018
F. Nicoleau, from Feb. 18 to Mar. 24, 2018
D. Parra, from Jan. 29 to Feb. 12, 2018
R. Tiedra de Aldecoa, from Jan. 23 to Feb. 17, 2018
K. Iohara, from Nov. 8 to Nov 11, 2017

Supported or partially supported outcomes :
1) Publications:

S. Richard,
Periodic Schroedinger operators on topological crystals: framework, analytically fibered operator, conjugate operator,
to appear in RIMS Kokyuroku, Research Institute for Mathematical Sciences, Kyoto University, Kyoto.
 H. Inoue, S. Richard,
Topological Levinson's theorem for inverse square potentials: complex, infinite, but not exceptional,
to appear in the special issue
"Spectral theory and applications to mathematical physics" of Revue roumaine de mathématiques pures et appliquées.

S. Richard, A. Suzuki, R. Tiedra de Aldecoa,
Quantum walks with an anisotropic coin II: scattering theory, to appear in Lett. Math. Phys.

H. Inoue, S. Richard,
Index theorems for Fredholm, semiFredholm, and almost periodic operators: all in one example, to appear in Journal of Noncommutative Geometry.

J. Derezinski, S. Richard,
On radial Schroedinger operators with a Coulomb potential, Ann. Henri Poincaré 19 (2018), 2869  2917.
2) Posters:
3) Conferences and Workshops:

Meeting on discrete and magnetic systems, September 18, 2018, Nagoya University.

Seminar of Prof. Tanaka in the Graduate School of mathematics,
June 13, 2018, Nagoya University.

Workshop: Mathematical approach for topological physics (I), April 6, 2018, Nagoya University.
Information and progam,
Titles and abstracts,
Slides of the presentations on request.

Himeji conference on partial differential equations, February 21  22, 2018.
Program:
Eng.,
Jap.
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