RIMS Workshop
Algebraic Number Theory and Related Topics
Organizers:
Hiroki Sumida-Takahashi (Tokushima University)
Yasuo Ohno (Tohoku University)
Date: November 30 (Mon) – December 4 (Fri), 2015
Place: Room 420, Research Institute for Mathematical Sciences (RIMS),
Kyoto University, Kyoto 606-8502, JAPANNovember 30 (Mon)9:45 – 10:00

Introduction

10:00 – 10:45 Minoru Hirose (Kyoto University)
Shintani zeta functions and Gross conjecture
10:55 – 11:40 Kazuto Ota (Keio University)
Kato’s Euler system and the Mazur-Tate reﬁned conjecture of BSD type11:50 – 12:40 Florian Sprung (Princeton University/IAS)
Integral Euler systems and Iwasawa theory
14:10 – 14:55 Jun Ueki (Kyushu University/University of Tokyo)
Theory of genera and Iwasawa invariants for 3-manifolds
15:10 – 15:55 Kotaro Sugahara (Kyushu University)
Central extensions and reciprocity law for arithmetic surfaces
16:10 – 17:00 Takao Komatsu (Wuhan University)
Bernoulli-Carlitz numbers and Cauchy-Carlitz numbers
December 1 (Tue)
9:30 – 10:15 Keiji Adachi (Kyushu University)
Distance to cusps and stability
10:30 – 11:15 Megumi Takata (Kyushu University)
The inﬁnite base change lifting associated to an APF extension of a mixed
characteristic local ﬁeld
11:30 – 12:30 Yuichiro Hoshi (RIMS, Kyoto University)
Introduction to inter-universal Teichmüller theory I (Survey)
14:05 – 14:50 Yoshinosuke Hirakawa (Keio University)
On the descent of certain modular Calabi-Yau varieties via the Cynk-Hulek construction
15:05 – 15:55 Hironori Shiga (Chiba University)
One visualization of Shimura’s complex multiplication theorem via hypergeometricmodular functions (joint work with Atsuhira Nagano)
16:10 – 17:00 Keisuke Arai (Tokyo Denki University)
Points on Shimura curves rational over imaginary quadratic ﬁelds in the non-split case

December 2 (Wed)9:00 – 9:45 Kento Yamamoto (Chuo University)
On generators of the Chow group of zero-cycles on diagonal cubic surfaces over
3-adic ﬁelds
10:00 – 10:45 Wataru Kai (University of Tokyo)
A moving lemma in the aﬃne space with modulus
11:00 – 11:45 Hiroyasu Miyazaki (University of Tokyo)
On moving algebraic cycles with modulus of bounded degree
12:00 – 13:00 Yuichiro Hoshi (RIMS, Kyoto University)
Introduction to inter-universal Teichmüller theory II (Survey)
Afternoon

Meeting of the steering committee (mainly for the committee members)

December 3 (Thu)
9:30 – 10:15 Arata Minamide (RIMS, Kyoto University)
Indecomposability of various proﬁnite groups arising from hyperbolic curves
10:30 – 11:15 Yu Yang (RIMS, Kyoto University)
On the existence, geometry and p-ranks of vertical ﬁbers of coverings of curves
11:30 – 12:30 Yuichiro Hoshi (RIMS, Kyoto University)
Introduction to inter-universal Teichmüller theory III (Survey)
14:00 – 14:45 Yasuhiro Wakabayashi (University of Tokyo)
Ordinariness and duality of dormant opers
15:00 – 15:45 Yu Iijima (RIMS, Kyoto University)
Diﬀerence between l-adic Galois representations and pro-l outer Galois representations
associated to hyperbolic curves
16:00 – 17:00 Hidekazu Furusho (Nagoya University)
Galois action on knots (Invited)
18:00 – 20:00

Conference Banquet

December 4 (Fri)9:30 – 10:15 Ippei Nagamachi (University of Tokyo)
On a good reduction criterion for proper polycurves with sections
10:30 – 11:20
Yuji Odaka (Kyoto University)
Canonical Kähler metrics and arithmetics - Generalising Faltings height
11:35 – 12:25 Chris Hall (University of Wyoming)
Specialization and big monodromy
13:50 – 14:40 Haoyu Hu (University of Tokyo)
Semi-continuity of total dimension divisors for l-adic sheaves
14:50 – 15:35 Kazuki Tokimoto (University of Tokyo)
Aﬃnoids in the Lubin-Tate perfectoid space and some cases of the local Langlands
correspondence
15:45 – 16:40 Yoichi Mieda (University of Tokyo)
Non-abelian Lubin-Tate theory and Kloosterman sheaves
Program Committee: Hiroki Sumida-Takahashi (Tokushima Univ.), Yasuo Ohno (Tohoku Univ.),Takahiro Tsushima (Chiba Univ.)