**Title:** Multiplicative recurrence with additive averaging

**Speaker:** Joel Moreira – University of Warwick

**Abstract: **Motivated by the question of whether Pythagorean triples are partition regular, one is naturally led to study sets of recurrence in the semigroup of natural numbers under multiplication. However, for sets with “additive structure”, the usual tools (such as the van der Corput trick) don’t seem to be useful in this context. As an alternative, we propose to study sets of averaging recurrence, where the averaging is taken additively. We present some results in this direction, and some applications to number theory. This is based on joint work with Sebastian Donoso, Anh Le and Wenbo Sun.

**Zoom link:** https://osu.zoom.us/j/98033590349

**Meeting ID:** 980 3359 0349

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