报告题目：Gr/"{u}nwald Version of Van der Waerden's Theorem for Semimodules
报告人：南京大学 代雄平教授
时间：1月18日(周一)10:00-11:00
地点：管研楼1518

摘要：Let $(G,+)$ be any given semimodule over a discrete semiring $(R,+,/cdot)$ with a finite coloring, say $G=B_1/cup/dotsm/cup B_q$.
By establishing a Regional Multiple Recurrence Theorem for semimodules, we prove that one of the colors $j$ has the property that if $F/subseteq G$ is any finite set, then one can find some ``syndetic'' subset $D_F$ of $(R,+)$ such that for each $d/in D_F$ there is some $a/in B_j$ with $a/pmb{+}dF/subseteq B_j$. This in turn implies that each Bohr almost point is multiply uniformly recurrent.

欢迎感兴趣的师生参加！