| Abstract: |
| The Bott-Samelson atlas is an atlas on a flag variety constructed via Kazhdan-Lusztig maps. When equipping with the standard Poisson structure, the Bott-Samelson atlas makes a flag variety covered by of symmetric CGL extensions. Moreover, all shifted big cells can be realized as cut of a symmetric CGL extensions, which induce the Lusztig`s total positivity simultaneously but different cluster structures separately. In particular, each coordinate function inside the Bott-Samelson atlas is positive. This is a joint work with Jiang-Hua Lu. |
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