Fundamental groups: Geometry and Arithmetic

Organizers: Yuichiro Hoshi (RIMS), Zhi Hu (USTC), Yu Yang (RIMS)
Date: August 18, 2019-August 22, 2019
Place: 1318, School of Mathematical Sciences, USTC, Hefei, Anhui, China
Abstracts:PDFファイル

August 18 (Sun)
9:30 - 10:25 Opening
10:30 - 11:30 Kang Zuo (Mainz University)
An algebraic characterization of modular curves
14:00 - 15:00 Shota Tsujimura (RIMS, Kyoto University)
Combinatorial anabelian geometry and resolution of nonsingularities
15:30 - 16:30 Kazumi Higashiyama (RIMS, Kyoto University)
The mono-anabelian geometry of geometrically pro-p arithmetic fundamental groups of second configuration spaces
 
August 19 (Mon)
10:30 - 11:30 Yuichiro Hoshi (RIMS, Kyoto University)
An anabelian open basis for a smooth variety
14:00 - 15:00 Ippei Nagamachi (The University of Tokyo)
On the Hom version of the Grothendieck Conjecture for hyperbolic polycurves of dimension 2
15:30 - 16:30 Koichiro Sawada (RIMS, Kyoto University)
Reconstruction of invariants of configuration spaces of hyperbolic curves from associated Lie algebras
 
August 20 (Tue)
10:30 ‐ 11:30 Toshiro Hiranouchi (Kyushu Institute of Technology)
Finiteness theorems on fundamental groups with restricted ramification
14:00 - 15:00 Akira Sarashina (RIMS, Kyoto University)
Reconstruction of curves in positive characteristic by their geometric fundamental groups
15:30 - 16:30 Yu Yang (RIMS, Kyoto University)
On the topological and combinatorial structures of pointed stable curves in positive characteristic
18:00 ‐ Conference Banquet
 
August 21 (Wed)
10:30 - 11:30 Naotake Takao (RIMS, Kyoto University)
On anabelian geometry of moduli spaces of curves
14:00 - 15:00 Yu Iijima (Hiroshima University)
On the centralizer of the image of the universal outer monodromy representation of the moduli stack of pointed smooth curves
15:30 - 16:30 Jinbang Yang (Mainz University)
TBA
 
August 22 (Thu)
9:30 - 10:30 Takahiro Murotani (RIMS, Kyoto University)
A p-adic analytic approach to the absolute Grothendieck conjecture
10:50 - 11:50 Ruiran Sun (Mainz University)
TBA
11:50 Closing