Homotopic Arithmetic Geometry - Seminars & Workshops
Homotopic Arithmetic Homotopy Seminar
The goal of the Homotopic Arithmetic Geometry Seminars Series is to introduce key results of classical arithmetic geometry in relation with recent developments of the field (e.g. simplicial homotopy theory). Semester '20-21 was a special session with Lille University (France) on IUT geometry; year '21-22 has been focused on the ``Expanding Horizons of IUT theory'' special year.
Related seminars and activities; the AHGT seminar is a global version of the (local) HAG seminar.
Arithmetic and Homotopy Galois - Workshop series
The ``arithmetic and homotopic Galois'' workshop series reports on the latest developments of the ``Arithmetic and Homotopic Galois Theory'' (AHGT) project. They include the theories of (a) Moduli spaces and Galois Covers, (b) Motivic Representations, and (c) Anabelian Arithmetic Geometry connected by crossbridging principles such as: homotopic methods, higher stacks symmetries, Tannakian symmetries.
They exploit Grothendieck's legacy to reach a new geometrification of its original insight that goes beyond its classical group-theoretic legacy.
- (I) Arithmetic Geometry and Symmetries around Galois and Fundamental Groups, MFO 2018
- (II) Homotopic and Geometric Galois Theory, MFO 2021
- (III) Arithmetic Homotopy and Galois Theory, MFO-RIMS 2023
RIMS - Expanding Horizons of Inter-universal Teichmüller Theory 2021-2022
Inter-universal Teichmüller theory can be seen as a new kind of geometry, which beyond Grothendieck's ring-scheme algebraic geometry, reunites seminal anabelian, arithmetic and Diophantine insights. The goal of this series of workshops (WS1-4) is to present techniques and principles of these theories in relation with the absolute Galois group of the rational numbers (and its GT combinatoric variant).
