Algebraic combinatorics learning seminar: Solvable lattice models in combinatorics

Fall 2026
Organizers: Grant Barkley, Thomas Lam, Yelena Mandelshtam, Rui Xiong

A learning seminar on solvable lattice models and their applications to Schubert calculus, quantum groups, and quiver varieties. Our goal is to understand (some subset of) the following three papers by Allen Knutson and Paul Zinn-Justin:

• [1]: Schubert puzzles and integrability I: invariant trilinear forms
• [2]: Schubert puzzles and integrability II: multiplying motivic Segre classes
• [3]: Schubert puzzles and integrability III: separated descents

A preliminary syllabus for the seminar can be found here.

Location:
East Hall 4088

Time:
Wednesdays 2:30-3:30pm

Background:

• [4]: Six-Vertex, Loop and Tiling models: Integrability and Combinatorics
• [5]: Integrability and combinatorics

Schedule

Date	Topic	Speaker	Notes
September 16	Introductory talk	Rui
September 23	Fock space	??
September 30	Plane partitions	??
October 7	Six-vertex model I	??
October 14	Six-vertex model II	??
October 21	Loop models	??
October 28	Temperley-Lieb algebra	??