種  別COEレクチャーシリーズ
講演者Avijit Mukherjee (名古屋大学大学院多元数理科学研究科)
タイトルD-branes on Calabi-Yau Manifolds and Mirror Symmetry
2005/6/23 14:45〜16:15(理1号館 109講義室)

Introduction to Homological Mirror Symmetry (following Kontsevich)

Abstract:
I shall set up the basic apparatus for understanding the proposal
of Kontesvich's ICM (1994) talk. In this context, we shall see how
D-branes (discovered much later) nicely fit in the general scheme
and are the essential objects needed to implement the Mirror
transformations. The main aim is to motivate the proposal that
the "Category of (topological) B-type D-branes on X is best
described using the (bounded) Derived Category of Coherent Sheaves
on X"