RC-positivity, rational connectedness and Yau's conjecture
Student No.:100
Time:Fri 16:30-17:30, 2017.9.29
Instructor:Yang Xiaokui  
Place:Lecture hall, 3rd floor of Jin Chun Yuan West Building
Starting Date:2017-9-29
Ending Date:2017-9-30


In this talk, we will introduce a new concept called RC-positivity for Hermitian vector bundles.
By using differential and algebraic geometric properties of RC-positivity, we confirm a conjecture of Yau that compact Kahler manifolds with positive holomorphic  sectional curvature are projective algebraic and rationally connected.