February 27, 2008 (Wednesday)
517 Meng Wah Complex, HKU
Dr. Yat Ming Chan
Introduction to Calabi-Yau manifolds and Conifold Transitions
2:00 – 3:00pm
We will start from the basic differential geometry of Calabi-Yau manifolds and work up to show a number of ways of constructing both compact and non-compact examples. We then turn to a brief discussion on isolated conical singularities of Calabi-Yau manifolds and their local geometry. In particular, the conifold singularity appears frequently in string theory, and the topology near the conifold singularity can undergo a topological transition. We shall focus on a well-known example given by Candelas and de la Ossa.
Professor Xiaotao Sun
From Characteristic p > 0 to Characteristic 0
3:00 – 4:00pm
In this talk, I will introduce a few well-known examples and open questions in algebraic geometry, where a problem of Characteristic zero can be solved by positive characteristic method.
Refreshments will be available from 1:45pm
All are welcome