Physics and Geometry Seminar

During the last thirty years, quantum field theory and string theory have revolutionized many area of mathematics. Among the intensive interaction between geometry and physics, a core area is Witten's topological quantum field theory (TQFT). It leads directly to the establishment of several key geometric invariants such as Seiberg-Witten invariants, Gromov-Witten invariants and more recently so called FJRW-invariant. TQFT itself was partially motivated by Donaldson invariants. In the talk, I will survey the area as well as some new developments.