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Spring Semester 2017

Date / Time Speaker Title Location
20 February 2017
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title no seminar
Speaker, Affiliation
Date, Time 20 February 2017, 15:15-16:30
Location HG G 43
no seminar
HG G 43
27 February 2017
15:15-16:30 		Claire Voisin
Jussieu and ITS
Event Details

Symplectic Geometry Seminar

Title Hyper-Kähler manifolds and their moduli
Speaker, Affiliation Claire Voisin, Jussieu and ITS
Date, Time 27 February 2017, 15:15-16:30
Location HG G 43
Hyper-Kähler manifolds and their moduli
HG G 43
6 March 2017
15:15-16:30 		Felix Schlenk
Université de Neuchâtel
Event Details

Symplectic Geometry Seminar

Title Symplectic rigidity and flexibility, old and new
Speaker, Affiliation Felix Schlenk, Université de Neuchâtel
Date, Time 6 March 2017, 15:15-16:30
Location 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 March 2017
15:15-16:30 		Samuel Trautwein
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Yang-Mills-Higgs flow and GIT for the vortex equation
Speaker, Affiliation Samuel Trautwein, ETH Zürich
Date, Time 13 March 2017, 15:15-16:30
Location 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 March 2017
15:15-16:30 		Charel Antony
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Gradient flows near birth-death critical points and adiabatic limits
Speaker, Affiliation Charel Antony, ETH Zürich
Date, Time 20 March 2017, 15:15-16:30
Location 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 March 2017
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title no seminar
Speaker, Affiliation
Date, Time 27 March 2017, 15:15-16:30
Location HG G 43
no seminar
HG G 43
3 April 2017
15:15-16:30 		Claude Viterbo
ENS Paris
Event Details

Symplectic Geometry Seminar

Title Floer homology for Lagrangian quantization
Speaker, Affiliation Claude Viterbo, ENS Paris
Date, Time 3 April 2017, 15:15-16:30
Location 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
Event Details

Symplectic Geometry Seminar

Title Local invariant Morse theory and applications in Hamiltonian dynamics
Speaker, Affiliation Dr. Doris Hein, Universität Freiburg
Date, Time 10 April 2017, 15:15-16:30
Location 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
Event Details

Symplectic Geometry Seminar

Title no seminar (easter monday)
Speaker, Affiliation
Date, Time 17 April 2017, 15:15-16:30
Location HG G 43
no seminar (easter monday)
HG G 43
24 April 2017
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title no seminar (sechselaeuten)
Speaker, Affiliation
Date, Time 24 April 2017, 15:15-16:30
Location HG G 43
no seminar (sechselaeuten)
HG G 43
1 May 2017
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title no seminar (tag der arbeit)
Speaker, Affiliation
Date, Time 1 May 2017, 15:15-16:30
Location HG G 43
no seminar (tag der arbeit)
HG G 43
8 May 2017
15:15-16:30 		Prof. Dr. William John Merry
ETH Zurich, Switzerland
Event Details

Symplectic Geometry Seminar

Title Maximum Principles in Symplectic Homology
Speaker, Affiliation Prof. Dr. William John Merry, ETH Zurich, Switzerland
Date, Time 8 May 2017, 15:15-16:30
Location HG G 43
Maximum Principles in Symplectic Homology
HG G 43
15 May 2017
15:15-16:30 		Vadim Kaloshin
University of Maryland and ITS
Event Details

Symplectic Geometry Seminar

Title On the local Birkhoff Conjecture for convex planar billiards
Speaker, Affiliation Vadim Kaloshin, University of Maryland and ITS
Date, Time 15 May 2017, 15:15-16:30
Location 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 May 2017
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title no seminar
Speaker, Affiliation
Date, Time 29 May 2017, 15:15-16:30
Location HG G 43
no seminar
HG G 43

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