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Workshop on "Avoided ? Crossing of Eigenvalue Curves" --- Non-commutative Harmonic Oscillator, Special Functions and Number Theory---

2012.03.11

Workshop on
"Avoided ? Crossing of Eigenvalue Curves"
-- Non-commutative Harmonic Oscillator, Special Functions and Number Theory--

Date: March 7 to 9, 2012.
Place: Inamori Center, Ito Campus, Kyushu University

Organized by:
Masao Hirokawa (Department of Mathematics, Okayama University)
Fumio Hiroshima (Faculty of Mathematics, Kyushu University)
Jinsung Park (School of Mathematics, KIAS)
Masato Wakayama(Institute of Mathematics for Industry, Kyushu University)

Co-Supported by Global COE
Education-and-Research Hub for Mathematics-for-Industry
Kyushu University


Program:

March 7

10:00-10:50 Masato Wakayama (Kyushu)
Number theoretical approach to spectrum for non-commutative harmonic oscillators
11:00-11:50 Setsuo Taniguchi (Kyushu)
A stochastic analytical approach to NCHO
13:40-14:30 Yoshitaka Watanabe (Kyushu)
Computer-assisted stability and instability proofs for the Orr-Sommerfeld problem with Poiseuille flow

Coffee break

15:10-16:00 Asao Arai (Hokkaido)
Quantum fields and analytic number theory
16:10-17:00 Jinsung Park (KIAS)
A generalization of the Dedekind eta function over Teichm"uller spaces
17:10-18:00 Roger E. Howe (Yale University.)
Iterated Pieri algebras,highest terms, and the Littlewood-Richardson Rule

March 8

10:00-10:50 Hiroyuki Ochiai (Kyushu)
Non-commutative harmonic oscillators and the connection problem for the Heun differential equation
11:00-11:50 Kouichi Takemura (Chuo)
On solutions of Heun's differential equation
13:30-14:20 Masao Hirokawa (Okayama)
Transition between the regimes of strong and ultra-strong couplings in circuit QED

Coffee break

15:00-15:50 Tsuyoshi Yamamoto (NEC)
Avoided crossings in superconducting qubits
16:00-16:50 Kouichi Semba (NTT)
Spectrum and dynamics observed in a quantum hybrid system
17:00-17:50 Valentin Zagrebnov (Marseille)
Quantum dynamics of cavity pumped by atomic beam

Banquet

March 9

10:00-10:50 Kazufumi Kimoto (Ryukyus)
Arithmetic structure of the non-commutative harmonic oscillator

Coffee break

11:30-12:20 Takashi Ichinose (Kanazawa)
On improved Sobolev embedding theorems for vector-valued functions
14:00-14:50 Klaus Schmidt (Vienna)
Mahler measure and entropy of algebraic group actions
15:00-15:50 Nobushige Kurokawa (TITech)
Euler's identity, Euler zeta functions and Euler characteristics

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