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Lectures
Seminar information archive ～04/24｜Next seminar｜Future seminars 04/25～
2012/03/23
10:30-11:30 Room #117 (Graduate School of Math. Sci. Bldg.)
R. Penner (Aarhus/Caltech)
Cell decomposition of homotopy Deligne-Mumford. (ENGLISH)
R. Penner (Aarhus/Caltech)
Cell decomposition of homotopy Deligne-Mumford. (ENGLISH)
[ Abstract ]
A long-standing problem has been to extend the ideal cell decomposition of Riemann's moduli space to its compactification by stable curves. In joint work with Doug LaFountain, we have solved this problem with an explicit generalization of fatgraphs. The solution immediately provides a construction of odd-degree cycles, which are conjectured to be non-trivial, thus addressing yet another long-standing issue.
A long-standing problem has been to extend the ideal cell decomposition of Riemann's moduli space to its compactification by stable curves. In joint work with Doug LaFountain, we have solved this problem with an explicit generalization of fatgraphs. The solution immediately provides a construction of odd-degree cycles, which are conjectured to be non-trivial, thus addressing yet another long-standing issue.
