中央研究院數學研究所

Algebraic Geometry Seminar

Holomorphic Fukaya categories and deformation quantisation I

2026/01/16 (Fri.) 16:00~18:00

Date : 2026/01/16 (Fri.) 16:00~18:00
Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
Speaker : Borislav Mladenov (Academia Sinica)
Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
Abstract : For a hyperkahler manifold X, I will formulate a version of Kapustin's conjectural duality between type A and B-branes on X, relating the Fukaya category of I-holomorphic Lagrangians to deformation quantisation. On the other hand, a conjecture of Smith and Solomon-Verbitsky predicts the formality of the Fukaya category associated to a suitable collection of I-holomorphic Lagrangians. The aim of this series of 3(?) talks will be to explain a proof of (the B-side analogue of) this conjecture.