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Joint ANT & HA Seminar: Concatenating cubic structures April 21, 2017 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Tamar Ziegler (The Hebrew University of Jerusalem)
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We describe concatenation results for uniformity norms in ergodic and combinatorial categories. Roughly speaking, we show that if a system exhibits nil-behavior with respect to two different commuting actions, then it exhibits nil-behavior (of higher step) with respect to their joint action. I will explain how one can use these results to count some polynomial progressions in primes by concatenating short scale behavior in "many directions" to long scale behavior. Joint work with T. Tao. 

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