MS Seminar (Mathematics - String Theory)

Speaker: Shouhei Ma (University of Tokyo)
Title: 0-dimensional cusps of the Kahler moduli of a K3 surface
Date: Thu, Feb 19, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Abstract: For a K3 surface, it is well-known that its Kahler moduli admits the Baily-Borel compactification. The central topic of my talk is that the 0-dimensional cusps of the Kahler moduli are in one-to-one correspondence with the twisted Fourier-Mukai partners of the K3 surface. This correspondence leads to a counting formula for the 0-dimensional cusps of Kahler moduli. When the Picard number of the K3 surface is 1, the correspondence can be described explicitly by using classical theory of elliptic modular curve. I will begin by recalling the notions of Fourier-Mukai partner and twisted Fourier-Mukai partner.