Mon, 26 May 2008
12:00 -
13:00
L3
Wall-crossing in two and four dimensions
Andy Neitzke
(IAS, Princeton)
Abstract
Abstract: Quantum field theories and string theories constructed from geometric data,
say Calabi-Yau threefolds, are expected to provide integer "invariants". In
many cases these "invariants" display a rather intricate wall-crossing
behavior. I will discuss two examples -- one which was studied in the early
1990's by Cecotti-Vafa, and another currently under investigation by
Kontsevich-Soibelman -- emphasizing the close physical and mathematical
parallels between them.