연사: Dylan Butson (UCLA)

장소: 129-406

시간:

2026-08-10(월) 10:00~11:30

2026-08-10(월) 14:00~15:30

2026-08-12(수) 10:00~11:30

Title: Yangians, W-algebras, and Hall algebras of toric Calabi-Yau threefolds

Abstract: I will explain how various moduli spaces of (framed) sheaves on certain toric Calabi-Yau threefolds admit concrete descriptions as spaces of representations of certain (framed) quivers with potential. I will then explain that these (framed) quivers determine cohomological Hall algebras (and representations thereof), and that these algebras and representations are closely related to affine Yangians and W-algebras in type A. Time permitting, I will outline a partially conjectural dictionary relating generalized coproducts on shifted affine Yangians, partial free-field realizations of affine W-algebras, and the geometry of toric divisors in this class of threefolds.