Department of Mathematics

Search

Symplectic geometry seminar

×

Modal title

Modal content

Spring Semester 2013

Date / Time Speaker Title Location
25 February 2013
15:15-16:30 		Sam Lisi
Université de Nantes
Event Details

Symplectic Geometry Seminar

Title Embedding bidisks and holomorphic foliations
Speaker, Affiliation Sam Lisi, Université de Nantes
Date, Time 25 February 2013, 15:15-16:30
Location HG G 43
Abstract One of the ways in which symplectic rigidity manifests itself is in the non-existence of symplectic embeddings. The most famous such result is Gromov's nonsqueezing theorem. In joint work with Richard Hind, we use the theory of pseudoholomorphic foliations of symplectic manifolds with cylindrical ends (as developed by Hofer-Wysocki-Zehnder) in order to obtain a new embedding obstruction of a bidisk into a symplectic ball in dimension 4. I will sketch this construction and compare with the known obstructions coming from Ekeland-Hofer capacities.
Embedding bidisks and holomorphic foliationsread_more
HG G 43
4 March 2013
15:15-16:30 		Chris Wendl
University College London
Event Details

Symplectic Geometry Seminar

Title When are two Stein domains equivalent?
Speaker, Affiliation Chris Wendl, University College London
Date, Time 4 March 2013, 15:15-16:30
Location HG G 43
Abstract The study of Stein manifolds and their symplectic geometry has increasingly been dominated by the question of "rigid vs. flexible", e.g. subcritical Stein manifolds satisfy an h-principle, so their Stein homotopy type is determined by the homotopy class of the almost complex structure. I will show that in dimension 4, there is a much larger class of Stein domains that exist somewhere between rigid and flexible: while the h-principle does not hold in a strict sense, their Stein deformation type is completely determined by their symplectic deformation type. This result depends on some joint work with Sam Lisi and Jeremy Van Horn-Morris involving the relationship between Stein structures and Lefschetz fibrations, which can sometimes be realised as foliations by J-holomorphic curves.
When are two Stein domains equivalent?read_more
HG G 43
11 March 2013
15:15-16:30 		Clémence Labrousse
Université de Neuchâtel
Event Details

Symplectic Geometry Seminar

Title Complexity problems in Hamiltonian dynamics
Speaker, Affiliation Clémence Labrousse, Université de Neuchâtel
Date, Time 11 March 2013, 15:15-16:30
Location HG G 43
Abstract In this talk, we will present several measures of the complexity of a dynamical system, namely the topological entropy and the volume growth. Both measures are "exponential measures" of the complexity. Although there are a lot of examples of systems for which they are positive, one can also find in the framework of integrable Hamiltonian systems several examples of systems for which they vanish. However, we will see that some of these last systems seem to be "simpler" than others. In order to estimate more precisely their complexity, we study "polynomial measures" of the complexity : the polynomial entropy and the slow volume growth. After introducing these both measures, we will see that we can find lower bounds for them for geodesic systems and Reeb flows on spherizations of the cotangent bundle of some Riemannian manifold.
Complexity problems in Hamiltonian dynamicsread_more
HG G 43
18 March 2013
15:15-16:30 		Hiroshi Iriyeh
Tokyo Denki University
Event Details

Symplectic Geometry Seminar

Title Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces and its application
Speaker, Affiliation Hiroshi Iriyeh, Tokyo Denki University
Date, Time 18 March 2013, 15:15-16:30
Location HG G 43
Abstract In this talk we calculate the Lagrangian Floer homology of a pair of real forms in a monotone Hermitian symmetric space M in the case where they are not necessarily Hamiltonian isotopic. The notion of antipodal sets in symmetric space theory plays an important role. We explain the case of the complex hyperquadric M=Q^n in detail. In this case, the above result yields a nontrivial restriction on Lagrangian embeddings into Q^n. We also discuss related results on such embedding problems.
Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces and its applicationread_more
HG G 43
25 March 2013
15:15-16:30 		Matthew Strom Borman
University of Chicago
Event Details

Symplectic Geometry Seminar

Title Relative symplectic packing and geodesic flow
Speaker, Affiliation Matthew Strom Borman, University of Chicago
Date, Time 25 March 2013, 15:15-16:30
Location HG G 43
Abstract The symplectic packing problem is the study of obstructions beyond volume for the existence of a symplectic embedding of ball into a symplectic manifold M. This question has connections with algebraic geometry via the study of symplectic forms on the blow-up of M and it also arises in connection with estimates for pseudo-differential operators. For a Lagrangian submanifold Q in M one can study the relative packing problem where one tries to symplectically embed a ball in M so that it intersects the Lagrangian exactly along the real part of the ball. In this talk, I will present a wrapped Floer cohomomology construction using geodesic flow on Q to give obstructions to such relative embeddings. This is joint work in progress with Mark McLean.
Relative symplectic packing and geodesic flowread_more
HG G 43
8 April 2013
15:15-16:15 		Luis Haug
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Monoidal structures on Donaldson categories and HMS for the 2-torus
Speaker, Affiliation Luis Haug, ETH Zürich
Date, Time 8 April 2013, 15:15-16:15
Location HG G 43
Monoidal structures on Donaldson categories and HMS for the 2-torus
HG G 43
22 April 2013
15:15-16:30 		Igor Uljarevic
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title The symplectic isotopy problem and the mean Euler characteristic (following work of Chiang,Ding and Van Koert)
Speaker, Affiliation Igor Uljarevic, ETH Zürich
Date, Time 22 April 2013, 15:15-16:30
Location HG G 43
The symplectic isotopy problem and the mean Euler characteristic (following work of Chiang,Ding and Van Koert)
HG G 43
29 April 2013
15:15-16:30 		Robin Krom
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title A functional on the space of exact Lagrangian paths (following work of Jake Solomon)
Speaker, Affiliation Robin Krom, ETH Zürich
Date, Time 29 April 2013, 15:15-16:30
Location HG G 43
A functional on the space of exact Lagrangian paths (following work of Jake Solomon)
HG G 43
13 May 2013
15:15-16:30 		Paul Biran
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Geometric approach to Fukaya categories via cobordisms
Speaker, Affiliation Paul Biran, ETH Zürich
Date, Time 13 May 2013, 15:15-16:30
Location HG G 43
Geometric approach to Fukaya categories via cobordisms
HG G 43

Note: if you want you can subscribe to the iCal/ics Calender.

Organizers: Paul Biran, Ana Cannas da Silva, Dietmar Salamon

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

JavaScript has been disabled in your browser