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Mathematics Conferences KIAS winter school on virtual enumerative geometry
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Virtual fundamental classes and virtual functoriality(Lecture 1)
SPEAKER  |  Cristina Manolache
INSTITUTE  |  
DATE  |  January 6(Tue), 2015
TIME  |  10:30
PLACE  |  1114 International conference room, KIAS
Keyword  |  
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ABSTRACT  |  Abstract: Virtual classes allow us to do intersection theory on singular spaces and they are a key ingredient in modern enumerative geometry. The lecture series will have two main parts: how to define virtual classes and how to work with them. In the first part I will discuss classical intersection theory and its generalization to certain singular spaces such as the moduli space of stable maps and Hilbert schemes. In the second part I will concentrate on similarities and differences to classical intersection theory. This will be a discussion on functorial properties and open problems in this direction.
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