Combinatorial Anabelian Geometry and Related Topics

ag.algebraic-geometry
Start Date
2020-06-29 
End Date
2020-07-03 
Institution
RIMS, Kyoto University 
City
Kyoto 
Country
Japan 
Meeting Type
conference 
Homepage
https://www.maths.nottingham.ac.uk/plp/pmzibf/files/June2020.html 
Contact Name
 

Description

Combinatorial anabelian geometry concerns the reconstruction of scheme- or ring-theoretic objects from more primitive combinatorial constituent data. In this sense, it is closely philosophically related to inter-universal Teichm├╝ller theory.

The purpose of the present workshop is to expose fundamental, introductory aspects of combinatorial anabelian geometry, as well as more recent developments related to the Grothendieck-Teichm├╝ller group and the absolute Galois groups of number fields and mixed-characteristic local fields.

The workshop will also treat results concerning the "resolution of nonsingularities" of hyperbolic curves over mixed-characteristic local fields, such results are closely related to combinatorial anabelian geometry over mixed-characteristic local fields.

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