| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Outline of Final Research Achievements |
We revisited the classification of two dimensional conformal field theory by using a modular differential equation which was formerly studied with Zagier, and by generalizing that, we showed the non-exsistence of a certain rational vertex operator algebra. Also, by looking at the higher order cases, we showed the theory can be applicable to a classification of vertex operator algebras. Together with Mizuno, we established a formula describing class numbers of imaginary quadratic fields in terms of continued fraction expansions of real quadratic numbers, by computing the L-function of general quadratic genus characters. This gives a counterpart in the case of primes congruent to 1 modulo 4 of the theorem of Hirzebruch-Zagier.
|
