Diophantine Analysis and Related Fields 2018

 

・Period: From Thursday 1 March to Saturday 3 March, 2018

・Location: Large Conference Room, Raiosha, Hiyoshi Campus, Keio Univ. (Yokohama, Japan)

・Organizers: Shigeki Akiyama (Tsukuba Univ.), Masaaki Amou (Gunma Univ.), Noriko Hirata-Kohno (Nihon Univ.), Masanori Katsurada (Keio Univ.), Ryotaro Okazaki, Takaaki Tanaka (Keio Univ.)

・This conference is supported in part by JSPS KAKENHI Grant Numbers 15K04792,15K17522,17K05182.

 

Program (PDF, Japanese Page, Abstracts of the talks)

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Thursday 1 March

10:10 − 10:15　　Opening

10:15 − 11:05　　Daniel Duverney (Baggio Engineering School, France)

Irrationality of the sums of certain series of reciprocals of Fibonacci numbers

11:20 − 12:20　　Yuri Nesterenko (Moscow State Univ.)

G-functions and algebraic independence

14:10 − 15:10　　Federico Pellarin (Univ. of Saint-Etienne)

From modular forms to algebraic independence

15:25 − 16:05　　Hajime Kaneko (Univ. of Tsukuba)

On the digital expansion of algebraic numbers (a joint work with Makoto Kawashima (Osaka Univ.))

16:15 − 16:50　　Eiji Miyanohara (Waseda Univ.)

Transcendence of the series generated by a generalized Rudin-Shapiro sequence

17:05 − 17:35　　Shin-ichi Yasutomi (Toho Univ.)

Certain multidimension p-adic continued fraction algorithm and cubic numbers

Friday 2 March

10:20 − 10:50　　Makoto Kawashima (Osaka Univ.)

Linear independence of special values of logarithm revisited (a joint work with Noriko Hirata-Kohno (Nihon Univ.))

11:00 − 12:00　　Chieh-Yu Chang　(National Tsing Hua Univ.)

Periods, logarithms and multiple zeta values

14:00 − 15:00　　Pietro Corvaja (Univ. of Udine)

Betti maps of sections of abelian schemes and functional transcendence

15:15 − 16:00　　Yu Yasufuku (Nihon Univ.)

Integral points in one- and two-parameter orbits

16:10 − 16:45　　Kaoru Sano (Kyoto Univ.)

The arithmetic degrees for self-morphisms on semi-abelian varieties (a joint work with Yohsuke Matsuzawa (Univ. of Tokyo))

17:00 − 18:00　　Wade Hindes (City Univ. of New York)

Prime divisors in orbits and Galois groups of iterates

 

18:20 − 20:20　　Reception (Faculty Lounge, Hiyoshi Campus)

 

Saturday 3 March

10:20 − 10:55　　Tomohiro Yamada (Osaka Univ.)

A diophantine equation related to odd perfect numbers

11:05 − 11:45　　Yuta Suzuki (Nagoya Univ.)

On relatively prime amicable pairs

12:00 − 12:50　　Makoto Nagata (Osaka Univ. of Pharmaceutical Sciences)

Stochastic models related to lattice points of a right-angled triangle: on the fluctuations in the number of points

12:50 − 13:00　　Closing

Previous meeting: DARF 2017