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Universität Augsburg
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Universität Augsburg
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Jun.-Prof. Dr. Agustín Moreno
Universität Heidelberg
spricht am
Montag, 2. Juni 2025
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16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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By work of Eliashberg in dimension 3 and Borman—Eliashberg—Murphy in higher dimensions, there are two flavors of contact structures: tight (geometric/rigid), and overtwisted (topological/flexible). Tight contact structures are much harder to classify than the overtwisted ones (which satisfy an h-principle, and so are abundant). One way to understand tight structures is via their symplectic fillings.
In this talk, I will explain how in dimension at least 5, the odd-dimensional sphere admits contact structures which are exotic from a symplectic point of view, namely they are tight but admit no (strong) symplectic filling. This is in stark contrast to the three-dimensional case, as Eliashberg showed there is a unique tight contact structure on the 3-sphere (which is fillable). I will also discuss applications to arbitrary topology. This is based on joint work with Jonathan Bowden, Fabio Gironella and Zhengyi Zhou. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).