 Date : 20221230 (Fri) 14:00 ~ 15:30
 Place : 27325 (SNU)
 Speaker : Tony Yau (CUHK Hong Kong)

TiTle : Morphism spaces between coisotropic Abranes

Abstract :
Seeking for a mathematical definition of morphism spaces between coisotropic Abranes has been a longstanding problem for understanding mirror symmetry. In 2009, a paper of GukovWitten showed that this problem is also closely related to deformation quantization and geometric quantization. In this talk, I shall explain my recent joint work with NaiChung Conan Leung that for a fixed prequantum line bundle L over a hyperKahler manifold X, there is a natural but hidden Sp(1)symmetry intertwining a twistor family of Spin^cDirac operators on the spaces of Lvalued (0, *)forms on X. It leads to a proposed definition of the morphism space of a braneconjugate brane system for a spacefilling coisotropic Abrane on a symplectic manifold, and it establishes geometric quantization via brane quantization on a hyperKahler manifold.