Institute of Mathematics for Industry

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Characterizations of projective spaces and hyperquadrics


Hold Date 2012-11-08 15:30~2012-11-08 17:00

Place seminar room 6, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Taku SUZUKI (Waseda University)

summary:
Many results to characterize projective spaces and hyperquadrics have
been provided. Kovács' conjecture states that smooth complex projective
varieties are projective spaces or hyperquadrics if the $p$-th exterior product
of their tangent bundle contains the $p$-th exterior product of an ample
vector bundle. In this talk, I will explain the idea of the proof of Kovács'
 conjecture for varieties with Picard number one.