A Survey of Calabi-Yau Manifolds with Small Hodge Numbers
Student No.:100
Time:16:30-17;30, 2015-9-25 (Fri.)
Instructor:Philip Candelas  [Mathematical Institute,Oxford]
Place:Lecture hall, Floor 3, Jin Chun Yuan West Building
Starting Date:2015-9-25
Ending Date:2015-9-25





There are a great many Calabi-Yau manifolds, possibly infinitely many. However CY manifolds for which both the Hodge numbers (h^{1,1}, h^{2,1}) are small seem to be rare. These can be thought of as the simplest CY manifolds, and seem attractive from the point of view of finding interesting string theory models. I will review what is known about these manifolds, how they are related by conifold transitions and also describe the construction of a remarkable manifold, due to Volker Braun, with (h^{1,1}, h^{2,1}) = (1,1), whose construction is based on the 24-cell.