Departement Mathematik

Junior symplectic geometry seminar

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Frühjahrssemester 2024

Datum / Zeit Referent:in Titel Ort
25. Januar 2024
14:15-15:00 		Metehan Aksay
ETH Zurich, Switzerland
Details

Junior Symplectic Geometry Seminar

Titel The classification of contact toric manifolds
Referent:in, Affiliation Metehan Aksay, ETH Zurich, Switzerland
Datum, Zeit 25. Januar 2024, 14:15-15:00
Ort HG G 43
Abstract In this talk, we will define and discuss contact toric manifolds and their classification due to Eugene Lerman. It is a well-known theorem of Delzant that compact connected symplectic toric manifolds are classified by the image of their moment map. For compact connected contact toric manifolds, the situation is similar. According to Lerman’s work, compact connected contact toric manifolds are classified by the image of the contact moment map with exceptional cases occurring in dimensions 3 and 5 depending on whether the action is free.
The classification of contact toric manifoldsread_more
HG G 43
25. Januar 2024
15:15-16:00 		João Camarneiro
ETH Zurich, Switzerland
Details

Junior Symplectic Geometry Seminar

Titel Toric Real Loci
Referent:in, Affiliation João Camarneiro, ETH Zurich, Switzerland
Datum, Zeit 25. Januar 2024, 15:15-16:00
Ort HG G 43
Abstract In this talk, we will look at the fixed point sets (real loci) of certain anti-symplectic involutions of toric symplectic manifolds. Based on a theorem of Duistermaat, we show that they are branched coverings over the moment polytope, and exploit this fact to get a simple description of their topology. In the 4-dimensional case, we are even able to explicitly determine the full list of possibilities for the real locus, up to diffeomorphism.
Toric Real Lociread_more
HG G 43
26. Januar 2024
14:15-16:00 		Dr. Joé Brendel
Tel Aviv University, Israel
Details

Junior Symplectic Geometry Seminar

Titel A user-friendly intro to almost toric fibrations
Referent:in, Affiliation Dr. Joé Brendel, Tel Aviv University, Israel
Datum, Zeit 26. Januar 2024, 14:15-16:00
Ort HG G 43
Abstract The goal of this informal talk is to give a short overview of almost toric fibrations (ATFs). I will briefly explain what an almost toric base diagram is and review the basic operations (nodal trade, nodal slide, mutation) provided by the ATF-toolkit and go into details depending on the audience's preference. I will give many examples of applications to symplectic topology.
A user-friendly intro to almost toric fibrationsread_more
HG G 43
12. April 2024
15:15-16:15 		Valentin Bosshard
ETH Zurich, Switzerland
Details

Junior Symplectic Geometry Seminar

Titel Introduction to Lagrangian correspondences
Referent:in, Affiliation Valentin Bosshard, ETH Zurich, Switzerland
Datum, Zeit 12. April 2024, 15:15-16:15
Ort HG G 26.3
Abstract Lagrangian correspondences are generalizing symplectomorphisms as relations between symplectic manifolds. One motivation to do that comes from the desire to compare invariants of non-symplectomorphic but related symplectic manifolds. In particular, it is a handy tool to get maps in Floer homology. The theory can be used to do computations for symplectic reductions, Dehn twists, Viterbo restrictions and product manifolds.
Unterlagen Notesfile_download
Introduction to Lagrangian correspondencesread_more
HG G 26.3
17. Mai 2024
15:15-16:15 		Reto Kaufmann
ETH Zurich, Switzerland
Details

Junior Symplectic Geometry Seminar

Titel From Symplectic Reduction to the Self-Floer Cohomology of the Clifford Torus via Lagrangian Correspondences
Referent:in, Affiliation Reto Kaufmann, ETH Zurich, Switzerland
Datum, Zeit 17. Mai 2024, 15:15-16:15
Ort HG G 26.3
Abstract We will start by showing how symplectic reduction gives rise to a Lagrangian correspondence. We will also discuss the conditions under which compositions involving this correspondence are embedded and exemplify its utility in the computation of certain Floer cohomology groups. As an illustrative example, we will outline the computation of the self-Floer cohomology of the Clifford torus within complex projective space.
From Symplectic Reduction to the Self-Floer Cohomology of the Clifford Torus via Lagrangian Correspondencesread_more
HG G 26.3

Archiv: FS 24 HS 23 FS 23 HS 22 FS 21

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