course: Foundations of Donaldson-Thomas theory

speaker: Kai Behrend (The University of British Columbia)

abstract: This will be an introduction to the basics of Donaldson-Thomas theory. Of particular importance in this theory is a certain constructible function on the moduli space. We will explain where this function comes from, and how it is used for calculations of invariants.

Topics covered will include: Symmetric obstruction theories, the virtual fundamental class, weighted Euler characteristics, the constructible function underlying Donaldson-Thomas theory, the equivariant case. As examples of applications, we will cover the Hilbert scheme of points on a Calabi-Yau threefold and the case of low degree curves on the quintic.

The material of these lectures will be taken from the three papers:

http://xxx.lanl.gov/abs/math/0507523 http://xxx.lanl.gov/abs/math/0512556 http://xxx.lanl.gov/abs/math/0601203

timetable:
Tue 17 Jun, 10:45 - 11:45, Aula Dini
Wed 18 Jun, 10:00 - 10:50, Aula Dini
Thu 19 Jun, 10:45 - 11:45, Aula Dini
Fri 20 Jun, 10:45 - 11:45, Aula Dini
Sat 21 Jun, 10:15 - 11:15, Aula Dini
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