[GAPK] Fan Zhou: Categorifying Jacobi—Trudi скачать в хорошем качестве

[GAPK] Fan Zhou: Categorifying Jacobi—Trudi

Geometry, Algebra and Physics at KIAS A conference on Jan.5-9, 2026, held at Korea Institute for Advanced Study (KIAS) June E Huh Center for Mathematical Challenges (HCMC) https://sites.google.com/view/jan-202... ---------------------------------------------------------------------------------------------- Date: Jan. 6, 2026 Speaker: Fan Zhou (Columbia University, New York, NY, USA) Title: Categorifying Jacobi—Trudi Abstract: We discuss a way to categorify the famous Jacobi—Trudi identity by constructing a quasi-hereditary algebra A with a map kS_n to A; the “dominant simple” of A admits a BGG resolution, and after restricting to kS_n, we obtain a resolution of a simple module of kS_n by permutation modules. The algebra A is constructed as a certain quotient of KLR, and to prove the BGG resolution we use the very general technique of "reconstruction from stratification". We will briefly explain this general technique and its relation to Koszul duality.