Departement Mathematik

Symplectic geometry seminar

×

Modal title

Modal content

Frühjahrssemester 2017

Datum / Zeit Referent:in Titel Ort
20. Februar 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 20. Februar 2017, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
27. Februar 2017
15:15-16:30 		Claire Voisin
Jussieu and ITS
Details

Symplectic Geometry Seminar

Titel Hyper-Kähler manifolds and their moduli
Referent:in, Affiliation Claire Voisin, Jussieu and ITS
Datum, Zeit 27. Februar 2017, 15:15-16:30
Ort HG G 43
Hyper-Kähler manifolds and their moduli
HG G 43
6. März 2017
15:15-16:30 		Felix Schlenk
Université de Neuchâtel
Details

Symplectic Geometry Seminar

Titel Symplectic rigidity and flexibility, old and new
Referent:in, Affiliation Felix Schlenk, Université de Neuchâtel
Datum, Zeit 6. März 2017, 15:15-16:30
Ort HG G 43
Abstract We look at the following chain of symplectic embedding problems in dimension four. E(1,a) \to Z^4(A), E(1,a) \to P(A,bA) (b \in \NN), E(1,a) \to T^4(A). Here $E(1,a)$ is a symplectic ellipsoid, $Z^4(A)$ is the symplectic cylinder $D^2(A) \times R^2$, $P(A,bA) = D^2(A) \times D^2(bA)$ is the polydisc, and $T^4(A) = T^2(A) \times T^2(A)$, where $T^2(A)$ is the torus of area $A$. In each problem we ask for the smallest $A$ for which $E(1,a)$ symplectically embeds. The answer is very different in each case: total rigidity, total flexibility, and a two-fold subtle transition between them. The talk is based on works by Cristofaro-Gardiner, Frenkel, Latschev, McDuff, Müller and myself.
Symplectic rigidity and flexibility, old and newread_more
HG G 43
13. März 2017
15:15-16:30 		Samuel Trautwein
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Yang-Mills-Higgs flow and GIT for the vortex equation
Referent:in, Affiliation Samuel Trautwein, ETH Zürich
Datum, Zeit 13. März 2017, 15:15-16:30
Ort HG G 43
Abstract The symplectic vortex equations admit a variational description as global minimum of the Yang--Mills--Higgs functional. We discuss convergence of its gradient flow on holomorphic pairs and explain how this can be used to obtain several results inspired by finite dimensional GIT: The analogue of the Ness uniqueness theorem, the moment-weight inequality, the Kempf existence and uniqueness theorem and an extension of Mundet's Kobayashi--Hitchin correspondence to the polystable and semistable case.
Yang-Mills-Higgs flow and GIT for the vortex equationread_more
HG G 43
20. März 2017
15:15-16:30 		Charel Antony
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Gradient flows near birth-death critical points and adiabatic limits
Referent:in, Affiliation Charel Antony, ETH Zürich
Datum, Zeit 20. März 2017, 15:15-16:30
Ort HG G 43
Abstract In connecting two Morse functions on a manifold by a smooth family of functions, the concept of birth-death critical points (BDCP) appears naturally. On the level of critical points, we see two critical points running into each other and then disappearing (or dying) as we vary the parameter near the BDCP. After some definitions and a normal form for BDCP, we will discuss the existence and uniqueness of gradient flow lines connecting the two critical points near such a BDCP and how adiabatic limit techniques enter in the analysis of the problem.
Gradient flows near birth-death critical points and adiabatic limitsread_more
HG G 43
27. März 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 27. März 2017, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
3. April 2017
15:15-16:30 		Claude Viterbo
ENS Paris
Details

Symplectic Geometry Seminar

Titel Floer homology for Lagrangian quantization
Referent:in, Affiliation Claude Viterbo, ENS Paris
Datum, Zeit 3. April 2017, 15:15-16:30
Ort HG G 43
Abstract We explain how, given an exact spin Lagrangian $L$, in $T^*N$, Floer homology and rectification of quasi-presheaves allow one to construct a sheaf $F_L$ on $N\times R$ with singular support the conification of $L$. We show how filtered Floer homology of $L_1,L_2$ is recovered from the sheaves $F_{L1}, F_{L_2}$.
Floer homology for Lagrangian quantizationread_more
HG G 43
10. April 2017
15:15-16:30 		Dr. Doris Hein
Universität Freiburg
Details

Symplectic Geometry Seminar

Titel Local invariant Morse theory and applications in Hamiltonian dynamics
Referent:in, Affiliation Dr. Doris Hein, Universität Freiburg
Datum, Zeit 10. April 2017, 15:15-16:30
Ort HG G 43
Abstract Local homology is a useful tool to study periodic orbits. For example, the key to the existence of infinitely many periodic orbits of Hamiltonian systems are properties of the local Floer homology of one special orbit. I will discuss a discrete version of this invariant constructed using local invariant Morse homology of a discrete action function. The construction is very geometric and relies on a hands-on description of invariant local Morse homology. The resulting local homology can be interpreted as an invariant of germs of Hamiltonian systems or of closed Reeb orbits. It has properties similar to those of local Floer homology in the symplectic setting and probably similar applications in dynamics.
Local invariant Morse theory and applications in Hamiltonian dynamicsread_more
HG G 43
17. April 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar (easter monday)
Referent:in, Affiliation
Datum, Zeit 17. April 2017, 15:15-16:30
Ort HG G 43
no seminar (easter monday)
HG G 43
24. April 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar (sechselaeuten)
Referent:in, Affiliation
Datum, Zeit 24. April 2017, 15:15-16:30
Ort HG G 43
no seminar (sechselaeuten)
HG G 43
1. Mai 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar (tag der arbeit)
Referent:in, Affiliation
Datum, Zeit 1. Mai 2017, 15:15-16:30
Ort HG G 43
no seminar (tag der arbeit)
HG G 43
8. Mai 2017
15:15-16:30 		Prof. Dr. William John Merry
ETH Zurich, Switzerland
Details

Symplectic Geometry Seminar

Titel Maximum Principles in Symplectic Homology
Referent:in, Affiliation Prof. Dr. William John Merry, ETH Zurich, Switzerland
Datum, Zeit 8. Mai 2017, 15:15-16:30
Ort HG G 43
Maximum Principles in Symplectic Homology
HG G 43
15. Mai 2017
15:15-16:30 		Vadim Kaloshin
University of Maryland and ITS
Details

Symplectic Geometry Seminar

Titel On the local Birkhoff Conjecture for convex planar billiards
Referent:in, Affiliation Vadim Kaloshin, University of Maryland and ITS
Datum, Zeit 15. Mai 2017, 15:15-16:30
Ort HG G 43
Abstract The classical Birkhoff conjecture states that the only integrable convex planar domains are circles and ellipses. We show that this conjecture is true for perturbations of ellipses. This is based on several papers with Avila, De Simoi, G. Huang, Sorrentino.
On the local Birkhoff Conjecture for convex planar billiardsread_more
HG G 43
29. Mai 2017
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 29. Mai 2017, 15:15-16:30
Ort HG G 43
no seminar
HG G 43

Hinweise: wenn Sie möchten, können Sie den iCal/ics-Kalender abonnieren.

Archiv: FS 24 HS 23 FS 23 HS 22 FS 22 FS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09 WS 03/04 WS 99/00

JavaScript wurde auf Ihrem Browser deaktiviert