Symplectic geometry seminar

Modal title

Modal content

Spring Semester 2018

Date / Time

Speaker

Title

Location

26 February 2018
15:15-16:30

Prof. Dr. Peter Albers
Universität Heidelberg

Event Details

Symplectic Geometry Seminar

Title	Symplectic billiards
Speaker, Affiliation	Prof. Dr. Peter Albers, Universität Heidelberg
Date, Time	26 February 2018, 15:15-16:30
Location	HG G 43

Symplectic billiards

HG G 43

5 March 2018
15:15-16:30

Dietmar Salamon
ETH Zürich

Event Details

Symplectic Geometry Seminar

Title	Diffeomorphism groups, moment maps, and the Ricci form
Speaker, Affiliation	Dietmar Salamon, ETH Zürich
Date, Time	5 March 2018, 15:15-16:30
Location	HG G 43
Abstract	This talk is about joint work with Oscar Garcia-Prada and Samuel Trautwein. We prove that the Ricci form is a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This observation gives rise to an extended nonKähler Weil--Petersson symplectic form on the Teichmüller space of isotopy classes of complex structures with real first Chern class zero and nonempty Kähler cone.

Diffeomorphism groups, moment maps, and the Ricci formread_more

HG G 43

12 March 2018
15:15-16:30

Charel Antony
ETH Zurich

Event Details

Symplectic Geometry Seminar

Title	Vanishing cycles near A2 singularities
Speaker, Affiliation	Charel Antony, ETH Zurich
Date, Time	12 March 2018, 15:15-16:30
Location	HG G 43

Vanishing cycles near A2 singularities

HG G 43

19 March 2018
15:15-16:30

Dr. Jagna Wisniewska
ETH Zurich, Switzerland

Event Details

Symplectic Geometry Seminar

Title	Rabinowitz Floer Homology for Tentacular Hamiltonians
Speaker, Affiliation	Dr. Jagna Wisniewska, ETH Zurich, Switzerland
Date, Time	19 March 2018, 15:15-16:30
Location	HG G 43

Rabinowitz Floer Homology for Tentacular Hamiltonians

HG G 43

26 March 2018
15:15-16:30

Event Details

Symplectic Geometry Seminar

Title	no seminar
Speaker, Affiliation
Date, Time	26 March 2018, 15:15-16:30
Location

no seminar

23 April 2018
15:15-16:30

Mads Bisgaard
ETH Zürich

Event Details

Symplectic Geometry Seminar

Title	Symplectic Mather theory
Speaker, Affiliation	Mads Bisgaard, ETH Zürich
Date, Time	23 April 2018, 15:15-16:30
Location	HG G 43
Abstract	I will discuss two different approaches to systematically studying invariant sets of Hamiltonian systems. The first approach builds heavily on Viterbo's symplectic homogenization procedure. I will discuss how an analogue of Mather's alpha-function arises from homogenized Floer homological Lagrangian spectral invariants and how it gives rise to the existence of an analogue of Mather measures (from Aubry-Mather theory) to general symplectic manifolds. Unlike what happens in the Tonelli case, I will show that the support of these measures can be extremely "wild" in the non-convex case. I will explain how this phenomenon is closely related to diffusion phenomena such as Arnold' diffusion. The second approach builds on work due to Buhovsky-Entov-Polterovich and provides a C^0-analogue of Mather measures for Hamiltonians on "flexible" symplectic manifolds. I will discuss applications to Hamiltonian systems on twisted cotangent bundles and R^2n.

Symplectic Mather theoryread_more

HG G 43

30 April 2018
15:15-16:30

Dr. Gabriele Benedetti
Universität Leipzig

Event Details

Symplectic Geometry Seminar

Title	A local systolic inequality in contact and symplectic geometry
Speaker, Affiliation	Dr. Gabriele Benedetti, Universität Leipzig
Date, Time	30 April 2018, 15:15-16:30
Location	HG G 43
Abstract	In this talk, which reports on a joint work with Jungsoo Kang, we formulate a local systolic inequality for Reeb flows and Hamiltonian diffeomorphisms, which we establish in low dimension. As a consequence, we derive bounds for the minimal action of periodic orbits of certain magnetic flows on orientable closed surfaces. If time permits, we will also show how Reeb and Hamiltonian systolic inequalities are particular cases of a more general inequality in the wider class of odd-symplectic forms.

A local systolic inequality in contact and symplectic geometryread_more

HG G 43

7 May 2018
15:15-16:30

Martin Guest
Waseda University, Tokyo, Japan

Event Details

Symplectic Geometry Seminar

Title	The Coxeter Plane and the tt*-Toda equations
Speaker, Affiliation	Martin Guest, Waseda University, Tokyo, Japan
Date, Time	7 May 2018, 15:15-16:30
Location	HG G 43
Abstract	The 2D topological-antitopological fusion equations were introduced by Cecotti and Vafa in the 1990's. They are a system of "integrable" nonlinear pde with rich connections to geometry, e.g. Frobenius manifolds and quantum cohomology, but they are difficult to solve (and the same applies - evenmore so - to the more recently studied 4D tt* equations). I will discuss a special case of the 2D tt* equations, the tt*-Toda equations, where computations are feasible. Already here, interesting links with more classical topics arise - for example the Coxeter Plane.

The Coxeter Plane and the tt*-Toda equationsread_more

HG G 43

14 May 2018
15:15-16:15

Dr. Gleb Smirnov
SISSA, Trieste

Event Details

Symplectic Geometry Seminar

Title	Symplectomorphism groups of elliptic ruled surfaces
Speaker, Affiliation	Dr. Gleb Smirnov, SISSA, Trieste
Date, Time	14 May 2018, 15:15-16:15
Location	HG G 43
Abstract	An elliptic ruled surface is a 4-manifold satisfying the condition that it has a holomorphic fibration over an elliptic curve with fibers that are projective lines. Every elliptic ruled surface is algebraic, and, in particular, a Kaehler surface. In this talk I would like to discuss the rational homotopy type of the symplectomorphism group of elliptic ruled surfaces when the Kaehler form satisfies the following constraint: there are no symplectic 2-submanifolds of negative self-intersection index. More precisely, we will show that the symplectomorphism group is rationally homotopy equivalent to the 2-dimensional torus.

Symplectomorphism groups of elliptic ruled surfacesread_more

HG G 43

* 1 June 2018
11:15-12:15

Yael Karshon
University of Toronto, Canada

Event Details

Symplectic Geometry Seminar

Title	Non-linear Maslov index on lens spaces
Speaker, Affiliation	Yael Karshon, University of Toronto, Canada
Date, Time	1 June 2018, 11:15-12:15
Location	HG G 19.1
Abstract	Let L be a lens space with its standard contact structure. We construct a "non-linear Maslov index", which associates an integer to any contact isotopy of L, and which gives a quasimorphism on the universal cover of the identity component of the contactomorphism group of L. We use it to prove contact rigidity properties of L. This work is joint with Gustavo Granja, Milena Pabinia, and Sheila (Margherita) Sandon, and it follows earlier work of Givental and Theret that applied to real and complex projective spaces.

Non-linear Maslov index on lens spacesread_more

HG G 19.1

Notes: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location and if you want you can subscribe to the iCal/ics Calender.

Archive: SS 24 AS 23 SS 23 AS 22 SS 22 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09 WS 03/04 WS 99/00