Apply for funding
for this workshop

## Macaulay2: expanded functionality and improved efficiency

September 25 to September 29, 2023

at the

American Institute of Mathematics, Pasadena, California

organized by

David Eisenbud, Claudia Polini, Claudiu Raicu, and Emily E. Witt

This workshop, sponsored by AIM and the NSF, will be devoted to expanding and enhancing the capabilities of the computer algebra software Macaulay2. The main topics for the workshop are:

1. The structure of infinite resolutions in the non complete intersection case.
2. Efficient computations of ideal quotients and residual intersections.
3. Borel–Weil–Bott theory in characteristic $p$.
4. Local cohomology, $b$-functions, Hodge ideals.
The workshop will bring together researchers with a solid background in both the theoretical and computational aspects of the proposed topics, with the goal of creating software packages that implement some of the recent findings, and also are suitable to assist with future research. The chosen topics are not disjoint, with many of the prospective participants working in more than one, which will encourage the cross-fertilization of ideas and techniques.

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 May 15, 2023. 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.