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Number Theory Seminar

Apollonian packings in higher dimensions and ample cones for K3 surfaces

Arthur Baragar: UNLV

Location:  Hill 525
Date & time: Tuesday, 21 March 2017 at 2:00PM - 2:11PM

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 (after a brief intermission or Q&A?), we will describe how all these objects can be thought of as ample cones for elliptic K3 surfaces.

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