Number Theory Seminar

Apollonian packings in higher dimensions and ample cones for K3 surfaces
lundi, 19 juin 2017 - 2:30 pm3:00 pm
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SPEAKER: Arthur Baragar (University of Nevada, Las Vegas)             ABSTRACT: The Apollonian circle and sphere packings are well known classical objects. The four dimensional analog, though, has long been thought to not exist, owing to a perceived obstruction. In this talk, we describe the four dimensional analog and the obstruction. Most of the talk will be geometrical, requiring little background, and with only a little emphasis on the connection to number theory. Near the end of the talk, we will see how all these objects can be thought of as ample cones for elliptic K3 surfaces.