Rational points on wall intersections and the construction of moduli spaces

Sven Meinhardt (University of Sheffield)

Wednesday 10th May, 2017 16:00-17:00 TBC


It is a natural and interesting question whether or not moduli spaces of Bridgeland semistable objects exist. By a famous result of Alastair King, this question has a positive answer for a certain class of stability conditions in representation theory. The purpose of the talk is to convince the audience that the answer is always positive. In other words, for every Bridgeland stability condition there is  a GIT moduli space of semistable objects in representation theory. The construction depends on the existence of rational points on intersections of walls in the space of stability conditions. Hence, this geometrical problem turns into an arithmetical one which, fortunately, can be solved using quite elementary geometry. 

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