| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
This project is to pursuit the analogies between the quantum isomonodromic systems, quantum Teichmuller theory, and the solvable statistical lattice models in two dimension. It involves many structures nd aspects such as symmetries in quantum discrete Garnier systems and quantized tau function, as well as quantization of the so-called confluent procedure from the viewpoint of lattice models, and the quantized Teichmuller theory as the geometric counterpart of the solvable lattice theory. For all of these theme the proper understanding for the quantum discrete La x matrix is important. We have explored some of the relevant structures e.g. the appropriate root ordering problem in the formula of universal R matrix to obtain the appropriate Lax matrices. Still there are remaining problems, one of the main issue is to understand the infinitely many poles arising from the imaginary root factors in a proper way.
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