Polyhedral geometry and partition theory

November 7 to November 11, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Federico Ardila, Benjamin Braun, Peter Paule, and Carla D. Savage

Original Announcement

This workshop will be devoted to the study of problems at the interface of polyhedral geometry and partition theory. Recent results have demonstrated that polyhedral geometry is a powerful tool connecting problems in lattice point enumeration, permutation statistics, and partition theory. Further intriguing relationships make it clear that there are deeper connections, both theoretical and computational, to be uncovered.

The main topics for our workshop include:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

A combinatorial model for computing volumes of flow polytopes
by  Carolina Benedetti, Rafael S. Gonzalez D'Leon, Christopher R. H. Hanusa, Pamela E. Harris, Apoorva Khare, Alejandro H. Morales, and Martha Yip
Hilbert bases and lecture hall partitions
by  McCabe Olsen