University Calendar

Enumerative geometry and string theory
Seminar
Summer Term 2008
HU Berlin
Mathematical Institute
Rudower Chaussee 25
12489 Berlin

Enumerative geometry is an area of mathematics which dates back to the nineteenth century and is concerned with the counting of solutions to geometric questions. The aim of this lecture course is to show how ideas from string theory and quantum field theory can be successfully applied to the concrete problem of counting the number of rational curves on certain algebraic varieties. For this some basic notions and techniques from string theory and its formulation as a topological quantum field theory will be introduced. As a result, formulas enumerating rational curves can be derived from the properties of certain generating functions associated to the topological field theory. The lecture series ends with a brief outline of some current research directions which explore the mirror symmetry phenomenon of Calabi-Yau varieties.

More information: http://www.raumzeitmaterie.de/docs/B.Andreas--Lectures-on-Enumerative.pdf

Individual Sessions:

• 23 Jun 2008, 17:00 – 18:00: Counting rational curves
• 24 Jun 2008, 17:00 – 18:00: Elements of classical and quantum mechanics
• 25 Jun 2008, 17:00 – 18:00: Supersymmetry and localization
• 26 Jun 2008, 13:00 – 14:30: String theory and topological field theory
• 27 Jun 2008, 13:00 – 14:30: Quantum cohomology and enumerative predictions

Related to:

• Björn Andreas

Summer Term 2008