ncku-talk2020-04-23

Colloquium

DATE 2020-04-23　16:10-17:00

PLACE 數學館3174教室

SPEAKER 賴青瑞助理教授（成功大學數學系）

TITLE Anticanonical Volumes of Fano Varieties

ABSTRACT In this talk, we will consider the geometry of Fano varieties and start with lower dimensional examples. The classification problem is harder in dim>2 and we will focus only on the anticanonical volume V(X) of a Fano variety,an invariant relevant for explicit classification of such varieties. I will explain some recent advance in finding the optimal upper bound of V(X) for singular Fano threefolds, extending some early work on Fano manifolds.

Colloquium

DATE	2020-04-23　16:10-17:00

PLACE	數學館3174教室

SPEAKER	賴青瑞助理教授（成功大學數學系）

TITLE	Anticanonical Volumes of Fano Varieties

ABSTRACT	In this talk, we will consider the geometry of Fano varieties and start with lower dimensional examples. The classification problem is harder in dim>2 and we will focus only on the anticanonical volume V(X) of a Fano variety,an invariant relevant for explicit classification of such varieties. I will explain some recent advance in finding the optimal upper bound of V(X) for singular Fano threefolds, extending some early work on Fano manifolds.