Supersymmetry in the geometry of particle systems

Research Project

Project/Area Number	23K12983
Research Category	Grant-in-Aid for Early-Career Scientists
Allocation Type	Multi-year Fund
Review Section	Basic Section 12010:Basic analysis-related
Research Institution	Hokkaido University
Principal Investigator	Scrimshaw Travis 北海道大学, 高等教育推進機構, 助教 (30971585)
Project Period (FY)	2023-04-01 – 2026-03-31
Project Status	Granted (Fiscal Year 2023)
Budget Amount *help	¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000) Fiscal Year 2025: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000) Fiscal Year 2024: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000) Fiscal Year 2023: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords	Grothendieck polynomial / TASEP / Lie superalgebra
Outline of Research at the Start	We will expand upon a recent connection found between probability theory, geometry, and mathematical physics. We will examine the class of half-space particle systems and its relationship with the K-theory rings of the Lagrangian and orthogonal Grassmannian.