中央研究院數學研究所

Algebraic Geometry Seminar

Motivic DT/PT correspondence on Calabi–Yau threefolds

2025/11/21 (Fri.) 15:30~17:30

Date : 2025/11/21 (Fri.) 15:30~17:30
Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
Speaker : Chih-Huan Chang (Institute of Mathematics, Academia Sinica)
Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
Abstract : In this talk I will discuss a motivic refinement of the Donaldson–Thomas/Pandharipande–Thomas correspondence on Calabi–Yau threefolds. The idea is to upgrade Toda’s proof of the numerical DT/PT correspondence to the motivic level, using Bu’s motivic integral identity together with the existence of good moduli spaces for semistable objects in an appropriate heart of a t-structure. This yields a motivic equality between DT and PT invariants and gives a first application of Bu’s motivic integral identity to comparing different curve-counting theories.