for this workshop
Formalising algebraic geometry
an online workshop of the
American Institute of Mathematics, Pasadena, California
Kevin Buzzard, Johan Commelin, Joel Riou, and Adam Topaz
This online workshop, sponsored by AIM and the NSF, will be devoted to formalising basic and advanced concepts in algebraic geometry. Algebraic geometry should be interpreted broadly, and could include topics in related areas such as complex differential geometry and arithmetic geometry. Formalising here means translating mathematical ideas into the language of a computer theorem prover; the prover we will use will be Lean. Works such as EGA and the Stacks project are comprehensive human-written sources for modern algebraic geometry, however they are huge and need to be triaged before a comprehensive formalisation can take place.
The main topics for the workshop are:
- Isolation of key formalisable goals in the area;
- Developing strategies to formalise key definitions and theorems (for example the Riemann-Roch theorem and its generalisations, definitions and basic facts about coherent and etale cohomology, faithfully flat descent, etale fundemantal group ...);
- Formalising these definitions and theorems, and PRing the work to Lean's mathematics libary;
- Development of a blueprint for future progress in the area.
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than February 24, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
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