セミナー

微分幾何・トポロジーセミナー

タイトル	An S-adic Pisot conjecture for a class of binary one-dimensional tilings
開催日時	2025年10月7日(火)　16:30-18:00
主催者
講演者	永井 康史 氏　(信州大学)
場所	矢上キャンパス14-733（14棟7階ミーティング3）
内容	A tiling is a geometric object in an Euclidean space. Some tilings lack translation symmetry (non-periodic), but have a weak form of translational symmetry, i.e. they are almost periodic. This phenomenon is important in the study of quasicrystals. It is meaningful to check which non-periodic tilings are almost periodic. An important conjecture is the Pisot conjecture, which claims that an inverse-limit structure and a number-theoretic condition imply an almost periodicity. For almost all binary cases, this conjecture is solved. In this talk, we give a different proof for this and erase the word "almost" for a certain binary case.
資料
URL