CORDIS Project
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This project investigates the homotopy theory of algebraic varieties over various fields, focusing on fundamental groups and K(pi, 1) spaces. It aims to enhance understanding of etale homotopy types in positive characteristic and explore connections to wild ramification and perfectoid spaces.
The aim of the proposed research is to study the homotopy theory of algebraic varieties and other algebraically defined geometric objects, especially over fields other than the complex numbers. A noticeable emphasis will be put on fundamental groups and on K(pi, 1) spaces, which serve as building blocks for more complicated objects.
The most important source of both motivation and methodology is my recent discovery of the K(pi, 1) property of affine schemes in positive characteristic and its rel…
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
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