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Organizing Committee
ICERM
University of California San Diego
Massachusetts Institute of Technology
Abstract
The Honda-Tate theorem completely identifies the possible zeta functions of abelian varieties over finite fields. This activity is themed around the corresponding problem for K3 surfaces over finite fields, with the following themes in mind.
- Developing and improving techniques for computing zeta functions of K3 surfaces over finite fields, such as those using p-adic cohomology.
- Collecting and examining representative numerical data for K3 surfaces over various small finite fields, with an aim towards formulating new conjectures.
- Organizing existing data in a format suitable for inclusion in the L-Functions and Modular Forms Database.
- Extending these techniques to related varieties such as cubic fourfolds.
This event will be run as an "AIM-style workshop". Participants will be invited to suggest open problems and questions beforehand; these may include specific problems on which there is hope of making some progress during the week as well as more ambitious problems which may influence the future activity of the field. Lectures 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.
- Developing and improving techniques for computing zeta functions of K3 surfaces over finite fields, such as those using p-adic cohomology.
- Collecting and examining representative numerical data for K3 surfaces over various small finite fields, with an aim towards formulating new conjectures.
- Organizing existing data in a format suitable for inclusion in the L-Functions and Modular Forms Database.
- Extending these techniques to related varieties such as cubic fourfolds.
This event will be run as an "AIM-style workshop". Participants will be invited to suggest open problems and questions beforehand; these may include specific problems on which there is hope of making some progress during the week as well as more ambitious problems which may influence the future activity of the field. Lectures 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.
This workshop will run as a research cluster for select participants of the Fall Semester Program on "Computations on K3 Surfaces and Related Varieties." It is not open to outside applications.
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Semester Schedule
Monday, October 19, 2026
9:00 - 10:00 AM
Kiran Kedlaya Talk
11th Floor Lecture Hall
Kiran Kedlaya, University of California San Diego
11:00 AM - 12:00 PM
JJ Garzella Talk
11th Floor Lecture Hall
Jack Garzella, ICERM
1:30 - 3:00 PM
Problem Session
11th Floor Lecture Hall
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
3:30 - 4:00 PM
Working Group Formation
Group Work - 11th Floor Lecture Hall
Tuesday, October 20, 2026
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
4:30 - 5:00 PM
Status Reports
Group Presentations - 11th Floor Lecture Hall
Wednesday, October 21, 2026
10:00 - 10:30 AM
Working Group Formation
Group Work - 11th Floor Lecture Hall
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
4:30 - 5:00 PM
Status Reports
Group Presentations - 11th Floor Lecture Hall
Thursday, October 22, 2026
9:00 - 10:00 AM
Lattices in the LMFDB
11th Floor Lecture Hall
Stevell Muller, Leibniz Universität Hannover
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
4:30 - 5:00 PM
Status Reports
Group Presentations - 11th Floor Lecture Hall
Friday, October 23, 2026
9:30 - 10:30 AM
K3 surfaces in the LMFDB
11th Floor Lecture Hall
David Roe, Massachusetts Institute of Technology
2:00 - 2:30 PM
Status Reports
Group Presentations - 11th Floor Lecture Hall
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
Request Reimbursement
This section is for general purposes only and does not indicate that all attendees receive funding. Please refer to your personalized invitation to review your offer.
- Acceptable Costs
- 1 roundtrip between your home institute and ICERM
- Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
- Ground Transportation to and from airports and ICERM
- Unacceptable Costs
- Flights on non-U.S. or non-E.U. airlines
- Seats in economy plus, business class, or first class
- Change ticket fees of any kind
- Multi-use bus passes
- Meals or incidentals
- Advance Approval Required
- Personal car travel to ICERM from outside New England
- Multiple-destination plane ticket; does not include layovers to reach ICERM
- Arriving or departing from ICERM more than a day before or day after the program
- Multiple trips to ICERM
- Rental car to/from ICERM
- Flights on a Swiss, Japanese, or Australian airline
- Arriving or departing from airport other than PVD/BOS or home institution’s local airport
- 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
- Travel Maximum Contributions
- New England: $350
- Other contiguous US: $850
- Asia & Oceania: $2,000
- All other locations: $1,500
- Note these rates were updated in Spring 2023 and supersede any prior invitation rates.
- Reimbursement Requests
Request Reimbursement with Cube
Refer to the back of your ID badge for more information. Checklists are available at the front desk and in the Reimbursement section of Cube.
- Reimbursement Tips
- Scanned original receipts are required for all expenses
- Airfare receipt must show full itinerary and payment
- ICERM does not offer per diem or meal reimbursement
- Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via Google Maps PDF
- Keep all documentation until you receive your reimbursement!
- Reimbursement Timing
