Symplectic geometry seminar

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Autumn Semester 2018

Date / Time Speaker Title Location
17 September 2018
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title No seminar
Speaker, Affiliation
Date, Time 17 September 2018, 15:15-16:30
Location
No seminar
24 September 2018
15:15-16:30
Paul Biran
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title In the shadow of Lagrangian cobordisms
Speaker, Affiliation Paul Biran, ETH Zürich
Date, Time 24 September 2018, 15:15-16:30
Location HG G 43
In the shadow of Lagrangian cobordisms
HG G 43
1 October 2018
15:15-16:30
Jeff Hicks
Berkeley University
Event Details

Symplectic Geometry Seminar

Title Tropical Lagrangians from Lagrangian Cobordism
Speaker, Affiliation Jeff Hicks, Berkeley University
Date, Time 1 October 2018, 15:15-16:30
Location HG G 43
Abstract Mirror symmetry is a conjectured duality which relates the symplectic geometry of a space X to the complex geometry on a mirror space Y. A proposed mechanism for this duality comes from the Strominger-Yau-Zaslow conjecture, which states that X and Y should have dual Lagrangian torus fibrations. In this setting, mirror symmetry can be recovered by reducing the symplectic and complex geometry of X and Y to tropical geometry on the base of the fibration.  We provide a different construction of the tropical Lagrangian submanifolds exhibited in the recent work of Matessi and Mikhalkin via Lagrangian cobordisms. I will then explain how we can use cobordisms to prove that these tropical Lagrangian submanifolds are homologically mirror to sheaves supported on divisors with matching tropicalization in a mirror toric variety. 
Tropical Lagrangians from Lagrangian Cobordismread_more
HG G 43
8 October 2018
15:15-16:30
Octav Cornea
University of Montreal
Event Details

Symplectic Geometry Seminar

Title Weighted fragmentation metrics and a conjecture of Viterbo
Speaker, Affiliation Octav Cornea, University of Montreal
Date, Time 8 October 2018, 15:15-16:30
Location HG G 43
Abstract I will describe joint work with Paul Biran that makes use of the Fukaya category machinery to induce some notions of distance on the space of Lagrangians. A particular application is related to a conjecture of Viterbo that claims the existence of a global bound for the spectral distance between two compact Lagrangians, Hamiltonian isotopic to the zero section, in a fixed unit co-tangent bundle.
Weighted fragmentation metrics and a conjecture of Viterboread_more
HG G 43
15 October 2018
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title No seminar
Speaker, Affiliation
Date, Time 15 October 2018, 15:15-16:30
Location
No seminar
22 October 2018
15:15-16:15
Gleb Smirnov
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Elliptic curves and symplectic mapping class groups
Speaker, Affiliation Gleb Smirnov, ETH Zürich
Date, Time 22 October 2018, 15:15-16:15
Location HG G 43
Abstract We establish a relation between elliptic curves and symplectomorphsims in the setting of rational and ruled surfaces. It turns out that it is possible to set up one-to-one correspondence between elliptic curves and normal generators of the symplectic mapping class group for a ruled surface of genus one. If time permits we will also discuss the construction of these elliptic symplectomorphisms via fibered Dehn twists introduced by Biran-Giroux.
Elliptic curves and symplectic mapping class groupsread_more
HG G 43
29 October 2018
15:15-16:30
Seongchan Kim
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Symmetric periodic orbit and a conjecture of Seifert
Speaker, Affiliation Seongchan Kim, ETH Zürich
Date, Time 29 October 2018, 15:15-16:30
Location HG G 43
Abstract A symmetric periodic orbit is a special kind of periodic orbit which arises in a Hamiltonian system equipped with an antisymplectic involution. An interesting example is so-called "retrograde periodic orbit" in the planar circular restricted three-body problem, discovered by Birkhoff in 1915. In this talk I will explain Seifert's conjecture on the minimal number of symmetric periodic orbits and give a partial answer to this conjecture. The main ingredients for the proof are equivariant wrapped Floer homology and a suitable assumption on the Robbin-Salamon indices.
Symmetric periodic orbit and a conjecture of Seifertread_more
HG G 43
* 2 November 2018
15:15-16:30
Emmy Murphy
Northwestern University
Event Details

Symplectic Geometry Seminar

Title Arboreal singularities and loose Legendrians. (NOTE SPECIAL DATE AND ROOM!!!)
Speaker, Affiliation Emmy Murphy, Northwestern University
Date, Time 2 November 2018, 15:15-16:30
Location HG G 26.1
Abstract Given a Stein manifold X, under what conditions can we ensure that X is symplectomorphic to C^n? For n>2 the condition of X being diffeomorphic to C^n does not suffice, and many counterexamples have been constructed which are detected by symplectic cohomology and the Fukaya category. One might conjecture that the diffeomorphism type together with a vanishing Fukaya category characterizes C^n. While this question is currently well of of reach, we present some new partial results. The main tools we'll discuss are arboreal singularities, microlocal sheaf theory, and loose Legendrians -- and how they fit together to approach this question.
Arboreal singularities and loose Legendrians. (NOTE SPECIAL DATE AND ROOM!!!)read_more
HG G 26.1
5 November 2018
15:15-16:30
Yaniv Ganor
Tel-Aviv University, Israel
Event Details

Symplectic Geometry Seminar

Title A homotopical viewpoint at the Poisson bracket invariants for tuples of sets
Speaker, Affiliation Yaniv Ganor, Tel-Aviv University, Israel
Date, Time 5 November 2018, 15:15-16:30
Location HG G 43
Abstract Poisson bracket invariants for triples and quadruples of sets we reintroduced by Buhovski, Entov and Polterovich (2012) as a means to study the C^0 symplectic topology of closed subsets of a symplectic manifold.They were found to have applications to the study of Hamiltonian chords (Entov-Polterovich, 2016) and were also applied to the study of asymplectic topological invariant of Lagrangian submanifolds (Entov-G-Membrez, 2016). Interestingly, they manifest various aspects of both rigid and flexible phenomena. We suggest a homotopically flavoured description of the Poisson bracket invariants for tuples of closed sets in symplectic manifolds. It implies a flexibility themed result; namely, that in fact these invariants depend only on the union of the sets, along with some topological data which encodes the manner of decomposition into a tuple of sets.
A homotopical viewpoint at the Poisson bracket invariants for tuples of setsread_more
HG G 43
12 November 2018
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title No seminar
Speaker, Affiliation
Date, Time 12 November 2018, 15:15-16:30
Location HG G 43
No seminar
HG G 43
19 November 2018
15:15-16:30
Martin Guest
Waseda University, Japan
Event Details

Symplectic Geometry Seminar

Title Quantum cohomology and reality
Speaker, Affiliation Martin Guest, Waseda University, Japan
Date, Time 19 November 2018, 15:15-16:30
Location HG G 43
Abstract It is known (or believed) that quantum cohomology usually has a "real structure" (which is not related to counting real curves). This comes from physics and mirror symmetry, but has interesting mathematical aspects. I will give a review with some historical background, leading upto recent developments.
Quantum cohomology and realityread_more
HG G 43
26 November 2018
15:15-16:30
Felix Hensel
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Stability conditions and the Lagrangian cobordism group
Speaker, Affiliation Felix Hensel, ETH Zürich
Date, Time 26 November 2018, 15:15-16:30
Location HG G 43
Stability conditions and the Lagrangian cobordism group
HG G 43
3 December 2018
15:15-16:30
Will Merry
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title Symplectic cohomology of magentic cotangent bundles
Speaker, Affiliation Will Merry, ETH Zürich
Date, Time 3 December 2018, 15:15-16:30
Location HG G 43
Abstract Joint work with Y. Groman. We construct a family version of symplectic Floer cohomology for magnetic cotangent bundles, without any restrictions on the magnetic form.
Symplectic cohomology of magentic cotangent bundlesread_more
HG G 43
10 December 2018
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title No seminar
Speaker, Affiliation
Date, Time 10 December 2018, 15:15-16:30
Location
No seminar
17 December 2018
15:15-16:30
Event Details

Symplectic Geometry Seminar

Title No seminar
Speaker, Affiliation
Date, Time 17 December 2018, 15:15-16:30
Location
No seminar

Notes: red marked events are important, 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.

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