Algebraic Geometry Seminar


DATE2017-10-13 10:30-11:30

PLACE數學館4F電腦教室

SPEAKER陳榮凱 教授(國家理論中心主任

TITLETaiwan Math School - Derived and Homological Algebraic Geometry

ABSTRACT 線上演講;主持人:賴青瑞 (具備線性代數基礎即可) We plan to run a program consisting of joint courses on Derived and Homological Algebraic Geometry during the coming academic year. The purpose is to introduce the exciting area and technique involving derived category. We will start from scratch, that is, basic homological algebra, construction of derived categories. We hope that the participants will be able to understand and appreciate the new research work involving derived categories, such as Fourier-Mukai transform, derived category in birational geometry and minimal model program, and Bridgeland stability. A brief outline of courses consists of: 2017/10-2017/12: homological and commutative algebra, and construction of derived categories. 2018/01-2018/02: Winter School on Homological Algebraic Geometry (sheaf theory, base change and cohomology theorem, etc) 2018/02-2018/05: derived category in algebraic geometry, semiorthogonal decomposition, Fourier-Mukai transform, and t-structure 2018/06 : advanced topics 2018/06-2018/07: Mini-courses by Y. Kawamata and P. Cascini.