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), 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

Invitations to Nagoya :
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:
H. Inoue, S. Richard,
Topological Levinson's theorem for inverse square potentials: complex, infinite, but not exceptional, submitted
S. Richard, A. Suzuki, R. Tiedra de Aldecoa,
Quantum walks with an anisotropic coin II: scattering theory, submitted
H. Inoue, S. Richard,
Index theorems for Fredholm, semiFredholm, and almost periodic operators: all in one example, submitted
J. Derezinski, S. Richard,
On radial Schroedinger operators with a Coulomb potential, submitted
2) Posters:
H. Inoue,
Index theorem in scattering theory: the case infinity = infinity !
3) Conferences and Workshops:
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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