I will talk about joint work with Gholampour and Yau on Mathematical definition of Vafa-Witten invariants on 4 dimensional manifolds, and if time permits will discuss later work work with Shing-Tung Yau, and Sergei Gukov on definition of VW invariants on 3 dimensional m

We will introduce BCOV's B-model Feynman rule and its A-model approach. BCOV's Feynmann rule involves the notions of geometric quantization, normalize basis, propagators, etc.

We discuss Donaldson-Thomas (DT) invariants of torsion sheaves with 2 dimensional support on a smooth projective surface in an ambient non-compact Calabi Yau fourfold given by the total space of a rank 2 bundle on the surface.

I will present the so-called "a-contraction with shifts” method, which is basically energy based. This method is quite useful in studying the stability of Riemann solution containing a shock under physically admissible perturbations.

2022 淺談物理學講 座 5 ──  太空生物探索 由物理系主辦的2022淺談物理學講座旨在以非正式和深入淺出的方式介紹現代物理和近期研究進展。內容涵蓋量子力學發展史和太空生物可能存在的線索。

We are excited to have the following experts to share the operation of a regulated digital asset exchange and what engineering/science students can do at HKbitEX. All HKUST students are welcome to join.