ncku-talk2018-05-23

Colloquium

DATE 2018-05-23　16:10-17:00

PLACE 數學館3174教室

SPEAKER 陳榮凱教授（臺灣大學數學系暨國家理論科學研究中心數學組）

TITLE Positivity of Pluricanonical Sheaves on Irregular Varieties

ABSTRACT There are various notion of positiveness in algebraic geometry. Over irregular varieties, one can measure positivity in terms of cohomological properties. Together with the standard techniques of vanishing theorems, one can prove stronger results on non-vanishing, generations, birationalities and so on. The purpose of this talk is to demonstrate and compare various notions of positivities on irregular varieties, especially on irregular threefolds. We will also discuss some geometric applications.

Colloquium

DATE	2018-05-23　16:10-17:00

PLACE	數學館3174教室

SPEAKER	陳榮凱教授（臺灣大學數學系暨國家理論科學研究中心數學組）

TITLE	Positivity of Pluricanonical Sheaves on Irregular Varieties

ABSTRACT	There are various notion of positiveness in algebraic geometry. Over irregular varieties, one can measure positivity in terms of cohomological properties. Together with the standard techniques of vanishing theorems, one can prove stronger results on non-vanishing, generations, birationalities and so on. The purpose of this talk is to demonstrate and compare various notions of positivities on irregular varieties, especially on irregular threefolds. We will also discuss some geometric applications.