Algebraic Geometry Seminar
|TITLE||Automorphism and Birational Automorphism Groups of Calabi--Yau Manifolds with Picard Number Two|
Calabi-Yau manifolds receive important interest from mathematicians and physicists, not only for the birational geometry but also for the relation with the string theory. In this talk, I will give a brief introduction to Calabi--Yau manifolds and then survey the results of K. Oguiso, V. Lazic and T. Perternell about automorphism and birational automorphism groups of Calabi--Yau manifolds with Picard number two. If time permits, I will discuss three dimensional examples and recent results about Morrison-Kawamata cone conjecture.