Logic Seminar: Quasirandomness of definable subsets of definable groups in finite fields, by Anand Pillay
April 15, 2025
3:30 PM - 4:20 PM
Anand Pillay (University of Notre Dame): Quasirandomness of definable subsets of definable groups in finite fields
We prove an "arithmetic" version of Tao's algebraic regularity lemma about graphs uniformly definable in finite fields. Namely with uniformly
definable pairs $(G,A)$ ($G$ group, $A$ subset) in place of a graph. We make connections with Green's arithmetic regularity lemma for finite dimensional vector spaces over $F_p$, and
results of Gowers on quasirandom groups. (Joint with Atticus Stonestrom.)
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Date posted
Mar 31, 2025
Date updated
Mar 31, 2025
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