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           14:00 - 16:00     Short Course
The Extender Algebra and its Variants

School
MATHEMATICS

This lecture course discusses criteria for when V is a generic extension
of a given inner model. Bukowský and Balcar identified beautiful and handy criteria
in the 1970'ies which got applied recently in set theoretical geology. Later, Woodin
isolated his extender algebra which makes use of a large cardinal, a Woodin
cardinal. It turns out that Bukowský's and Woodin's approaches may be presented
in a uniform fashion. We will presuppose only basic knowledge of forcing,
present Bukowský's and Woodin's results in a general framework, and discuss
applications in set theoretic geology and descriptive ...