【Canceled】Rational curves on algebraic varieties
Student No.:50
Time:Mon/Wed 13:00-14:50, 2015-08-05 ~ 2015-08-26(except for public holidays)
Instructor:Yi Zhu  [University of Utah]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2015-8-5
Ending Date:2015-8-26
 Please be informed that this lecture has been canceled. Sorry for the late information.



The study of rational curves on algebraic varieties forms one of the key tools in higher-dimensional algebraic geometry. It has various applications in number theory and mathematical physics. In this course, we will first study the classical theory of rational curves on projective varieties, including Mori's proof for Hartshorne's conjecture, rationally connected varieties and their applications in arithmetic geometry and in Gromov-Witten theory. The second part of the course will focus on developing such theory on open varieties as well using Kato's logarithmic algebraic geometry.





One-semester course in algebraic geometry or equivalent. Basic knowledge of complex algebraic surfaces will be helpful, but not required.





1. A. Beauville, complex algebraic surfaces

2. János Kollár, Rational Curves on Algebraic Varieties

3. Olivier Debarre, Higher-dimensional Algebraic Geometry

4. S. Keel and J. McKernan, Rational Curves on Quasi-Projective Surfaces