Σεμιναριο Αναλυσης
http://www.math.uoc.gr/analysis-seminar
Analysis Seminars in the World / Analysis seminars in Greece
Thu, 28 Aug 2025, 11:15:00 AM, Room: A303
Speaker: Ioannis Kousek
(University of Warwick)
On the density finite sums theorem
Abstract: In 1974 Hindman proved his well-known finite sums theorem, showing that IP sets are partition regular. We survey some recent combinatorial results surrounding the problem of extending this result to a density analogue. We also review the newly developed ergodic theoretic machinery that has been developed and exploited in order to obtain these results.
Thu, 02 Oct 2025, 11:15, Room: A303
Speaker: Mate Matolcsi
(Renyi Institute (Budapest))
Functional tilings and the Coven-Meyerowitz tiling conditions
Abstract: Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conjecture can be reduced to sets which tile a finite cyclic group. In this talk we consider a natural relaxation of this problem, where we replace sets with nonnegative functions, such that $f*g$ is a functional tiling, and satisfy certain further natural properties associated with tilings. We show that the Coven-Meyerowitz tiling conditions do not necessarily hold in such generality. Such examples of functional tilings carry the potential to lead to proper tiling counterexamples to the Coven-Meyerowitz conjecture in the future.
Joint work with I. Londner, G. Kiss, G. Somlai
Seminar organizer for 2024-25: Silouanos Brazitikos
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