Faculty of Mathematics and Mechanics, auditorium 137
Thursday, december 12, 2024
14:30-15:30
諐鈥ふ┾ 栅榨寨湛榨沾闸榨謤斋 12-斋斩諠 摘铡沾炸 14謮30-斋斩, 缘諍諃 沾铡诈榨沾铡湛斋寨铡盏斋 謬 沾榨窄铡斩斋寨铡盏斋 謫铡寨崭謧宅湛榨湛斋 137 宅战铡謤铡斩崭謧沾&苍产蝉辫;芦Incidence geometry and tiled surfaces禄 诈榨沾铡盏崭站 眨斋湛铡寨铡斩 战榨沾斋斩铡謤 寨铡斩謥寨铡謥斩斋 談斋展斋眨铡斩斋 瞻铡沾铡宅战铡謤铡斩斋 蘸謤崭謫榨战崭謤 諐榨謤眨榨盏 諙崭沾斋斩炸 (Sergey Fomin, professor of University of Michigan, USA):
Abstract:
We show that various classical theorems of linear incidence geometry, such as the theorems of Pappus, Desargues, M枚bius, and so on, can be interpreted as special cases of a general result that involves a tiling of a closed oriented surface by quadrilateral tiles. This yields a general mechanism for producing new incidence theorems and generalizing the known ones.