ERC Starting Grant

Homotopy Theory of Algebraic Varieties and Wild Ramification

ERC Starting Grant

Supported by the program Premia na Horyzoncie of the MNiSW

Duration: June 2019–June 2026 (72 months)

Host institution: IMPAN in Warsaw

Grant number: 802787 KAPIBARA

Description

The project is devoted to the study of algebraic varieties and other algebraically defined geometric objects, especially over fields other than the complex numbers. The more specific goals belong are related to:

Étale fundamental groups and étale homotopy
Characteristic $p$ and $p$-adic geometry
Wild ramification of $\ell$-adic sheaves and irregular singularities of differential equations
Applications of logarithmic geometry to topology of algebraic varieties

Research team

Piotr Achinger
Sylvain Gaulhiac (postdoc 2023-)
Feliks Rączka (PhD student 2020-2024, postdoc 2024–2025)
Neeraj Deshmukh (postdoc 2023-)

Past members:

Marcin Lara (postdoc 2019-2021)
Alex Youcis (postdoc 2019-2021)
Gabriela Guzman (postdoc 2020-2022)
Mateusz Kobak (PhD student 2022-2023)
Wiesława Nizioł (visiting professor Jan-Apr 2022)
Anna Szumowicz (postdoc 2023-2024)
Veronika Ertl (postdoc 2023-2024)

Kapibara Seminar

Fridays, 10:45-... in room 408

Seminar webpage

Old seminar webpage (2023/24)

Events

Workshop Model-theoretic methods in non-archimedean geometry (27–31 January 2025, Münster)

Workshop Analytic de Rham stacks (Warsaw, Dec 9–13, 2024)

Conference Cohomology of Varieties (Warsaw, Mar 28-Apr 1, 2022)

Conference Wild Ramification and Irregular Singularities (Warsaw, Sep 23-27, 2019)

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 802787)