Lecture #3: Bounded gaps between volumes of orbifolds
Random and Arithmetic Structures in Topology: Introductory Workshop August 25, 2020 - September 11, 2020
Location: SLMath: Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Bounded Gaps Between Volumes Of Orbifolds
In this lecture, we sketch a proof that there are in nitely many k-tuples of arithmetic, hyperbolic 3-orbifolds which are pairwise non-commensurable, have certain prescribed geodesic lengths, and have volumes lying in an interval of bounded length. One of the key ideas stems from the breakthrough work of Maynard and Tao on bounded gaps between primes. We will introduce the Maynard-Tao approach and then discuss how it can be applied in a geometric setting. This talk is based on joint work with B. Linowitz, D. B. McReynolds, and P. Pollack.
 |
Lecture 3
|
Download |
Bounded Gaps Between Volumes Of Orbifolds
| H.264 Video | 1003_28726_8471_Bounded_Gaps_Between_Volumes_of_Orbifolds.mp4 |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.