2012-07-06

日付: 2012年7月6日(金)

時間: 16:30〜18:00

場所: 早稲田大学・西早稲田キャンパス 51号館18階08室

講演者: Insong Choe 氏 (Konkuk University)

題目: Segre stratifications on the moduli spaces of symplectic and orthogonal bundles over a curve

要旨:

First we review the Lange and Narasimhan's results which interprets the information on Segre stratification into

that on higher secant varieties of the curve. Next we explain how this idea can be generalized to the cases of

vector bundles of arbitrary rank, symplectic and orthogonal bundles. In particular, this yields the upper bounds

on the (generalized) Segre invariants, which generalizes the well-known Nagata's bound.