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Lecture #3: Bounded gaps between volumes of orbifolds

Random and Arithmetic Structures in Topology: Introductory Workshop August 25, 2020 - September 11, 2020

September 04, 2020 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Lola Thompson (Universiteit Utrecht)
Location: MSRI: 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.

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Bounded Gaps Between Volumes Of Orbifolds

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