Tsinghua-BIMSA symplectic geometry seminar

Organizers：

Kenji Fukaya(Tsinghua), Honghao Gao(Tsinghua), Hang Yuan(BIMSA)

Speaker：

秦瑛迪 Yingdi Qin

SIMIS

Time：

Thur., 16:30-18:00

October 9, 2025

Venue：

B725, Shuangqing Complex Building A

Title:

Coisotropic Branes in Symplectic Torus and 1-Shifted Symplectic Perspective

Abstract:

Kapustin-Orlov proposed that coisotropic branes exist as objects inside Fukaya categories besides Lagrangian branes. However, a satisfactory Floer theory involving coisotropic branes stands as a long time open problem. Making using the rich symmetries of symplectic torus, we can predict certain Floer homologies involving coisotropic branes. On the other hand, Gaiotto-Gukov-Witten proposed an approach to geometric quantization by studying the Hom complex between the canonical brane and Lagrangian branes in a holomorphic manifold. From the 1-shifted symplectic geometry perspective, coisotropic branes induces holomorphic 1-shifted Lagrangian branes, which in turn produces (weakly) holomorphic symplectic spaces through Lagrangian intersections . And this view point make a bridge between general coistropic branes intersection theory and geometric quantization.

About the speaker:

Dr. Yingdi Qin is Postdoc Researcher at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). He obtained his Ph.D in Mathematics from UC Berkeley, and then have worked as Postdoctoral researcher at University of Pennsylvania and ICMS-Sofia.

Yingdi Qin‘s research field is symplectic geometry，mirror symmetry and generalized complex geometry. He is also interested in derived geometry and higher geometry.