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Monthly Seminar on Arithmetic of Automorphic Forms
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
| Date, time & place | Saturday 13:30 - 16:00 123Room #123 (Graduate School of Math. Sci. Bldg.) |
|---|
2010/05/15
13:30-16:00 Room #123 (Graduate School of Math. Sci. Bldg.)
NARITA, Hiroaki (Kumamoto University, Fac. of Science) 13:30-14:30
Strict positivity of the central values of some Rankin-Selberg
L-functions (JAPANESE)
Calabi-Yau manifolds associated to hypergeometric sheaves and their application
Osaka Pref. Univ. (JAPANESE)
NARITA, Hiroaki (Kumamoto University, Fac. of Science) 13:30-14:30
Strict positivity of the central values of some Rankin-Selberg
L-functions (JAPANESE)
[ Abstract ]
We consider the Arakawa lift which is an automprphic form on an inner twist of $GSp(2)$. We construct examples the case when the central values of the $L$-functions of Rankin-Selberg type with degree 8 Euler factors take positive values. ....
YAMAUCHI, Takuya (Osaka Pref. Univ. ) 15:00-16:00We consider the Arakawa lift which is an automprphic form on an inner twist of $GSp(2)$. We construct examples the case when the central values of the $L$-functions of Rankin-Selberg type with degree 8 Euler factors take positive values. ....
Calabi-Yau manifolds associated to hypergeometric sheaves and their application
Osaka Pref. Univ. (JAPANESE)
[ Abstract ]
Let U be the P_1 munus 3 points, and form hypergeometric sheaves on U, by iterative convolutions of certain local sysytem of rank 1 on U. We construct certain families of Calabi-Yau manifolds whose cohomology groups of middle degree are these hypergeometric sheaves. We discuss the potential-modularity of these varieties and unit root formula. This is a joint work with Michio Tsuzuki. (trans. by the organizer of the seminar)
Let U be the P_1 munus 3 points, and form hypergeometric sheaves on U, by iterative convolutions of certain local sysytem of rank 1 on U. We construct certain families of Calabi-Yau manifolds whose cohomology groups of middle degree are these hypergeometric sheaves. We discuss the potential-modularity of these varieties and unit root formula. This is a joint work with Michio Tsuzuki. (trans. by the organizer of the seminar)
