Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Seminar Topics in Symplectic Geometry


Kyler Siegel
Columbia University

spricht am
Montag, 13. Januar 2020
10:00 Uhr
Raum 2004 (L1)
über das Thema:

»Enumerative geometry of ellipsoids«

I will introduce enumerative invariants which count curves with local tangency constraints in symplectic manifolds. For closed manifolds, we give an algorithm which computes these invariants in terms of previously known blowup Gromov-Witten invariants. For open manifolds, these invariants are used to define a new family of symplectic capacities. I will describe recent work which recursively computes these invariants for all convex toric domains. As a consequence, we get many new obstructions for symplectic embeddings of ellipsoids in higher dimensions. This is partly based on joint work with Dusa McDuff.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak

[Impressum]      [Datenschutz],     Di 7-Jan-2020 09:28:07 MEZ