Title: Introduction to Fourier-Mukai and Nahm transforms

Speaker: 艾颖华 (Tsinghua University)

Time: November 29th, 3:10pm - 5:00pm

Address: Room 1328 at BICMR, Resource Plaza, Peking University

Abstract: The quantum theories of some string models admit branes which can be geometrically characterized as coherent sheaves. Integral functors can be exploited to describe some mirror dualities. The Fourier-Mukai transform relates the derived categories of an abelian variety and of its dual variety. The Nahm construction, starting from as instanton on a flat torus, produces an instanton on the dual torus. The bridge between these two transforms is provided by a relation between index bundles and higher direct images. I will give a brief introduction.