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for this workshop

## K-stability and related topics

January 6 to January 10, 2020

at the

American Institute of Mathematics, San Jose, California

organized by

Mattias Jonsson, Fujita Kento, and Chenyang Xu

This workshop, sponsored by AIM and the NSF, will be devoted to reviewing recent progress on K-stability of Fano varieties with an emphasis on the the algebraic theory. The organizing theme will be to investigate connections between various approaches and encourage participants from different backgrounds to share techniques with each other. The workshop will bring together experts in K-stability as well as in the minimal model program, differential geometry, singularity theory and positive characteristic methods.

• Topic 1: K-stability of Fano varieties
• Topic 2: Moduli space of K-polystable Fano varieties
• Topic 3: $\delta$-invariants and normalized volumes

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 July 6, 2019. 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.