Enumerative geometry and string theory
Seminar
Sommersemester 2008
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
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