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Fundamental groups: Geometry and Arithmetic
Organizers:Yuichiro Hoshi (RIMS), Zhi Hu (USTC), Yu Yang (RIMS)
Date:August 18, 2019-August 22, 2019
Place:5207, the 5th Teaching Building, USTC, Hefei, Anhui, China
Abstracts:PDFファイル
August 18 (Sun)
9:30 - 10:25Opening
10:30 - 11:30Kang Zuo (Mainz University)
An algebraic characterization of modular curves
14:00 - 15:00Shota Tsujimura (RIMS, Kyoto University)
Combinatorial anabelian geometry and resolution of nonsingularities
15:30 - 16:30Kazumi Higashiyama (RIMS, Kyoto University)
The mono-anabelian geometry of geometrically pro-p arithmetic fundamental groups of second configuration spaces
 
August 19 (Mon)
10:30 - 11:30Yuichiro Hoshi (RIMS, Kyoto University)
An anabelian open basis for a smooth variety
14:00 - 15:00Ippei 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

 (16:30 ‐ take photos)
August 20 (Tue)
10:30 ‐ 11:30Toshiro Hiranouchi (Kyushu Institute of Technology)
TBA
14:00 - 15:00Akira Sarashina (RIMS, Kyoto University)
Reconstruction of curves in positive characteristic by their geometric fundamental groups
15:30 - 16:30Yu 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 - 11:30Naotake Takao (RIMS, Kyoto University)
On anabelian geometry of moduli spaces of curves
14:00 - 15:00Yu 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 - 16:30Jinbang Yang (Mainz University)
Explicit formula of self-map on the moduli space of graded Higgs bundles
 
August 22 (Thu)
9:30 - 10:30Takahiro Murotani (RIMS, Kyoto University)
A p-adic analytic approach to the absolute Grothendieck conjecture
10:50 - 11:50Ruiran Sun (Mainz University)
TBA
11:50Closing
  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会