Departement Mathematik

Symplectic geometry seminar

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Herbstsemester 2018

Datum / Zeit Referent:in Titel Ort
17. September 2018
15:15-16:30
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Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 17. September 2018, 15:15-16:30
Ort
No seminar
24. September 2018
15:15-16:30 		Paul Biran
ETH Zürich
Details

Symplectic Geometry Seminar

Titel In the shadow of Lagrangian cobordisms
Referent:in, Affiliation Paul Biran, ETH Zürich
Datum, Zeit 24. September 2018, 15:15-16:30
Ort HG G 43
In the shadow of Lagrangian cobordisms
HG G 43
1. Oktober 2018
15:15-16:30 		Jeff Hicks
Berkeley University
Details

Symplectic Geometry Seminar

Titel Tropical Lagrangians from Lagrangian Cobordism
Referent:in, Affiliation Jeff Hicks, Berkeley University
Datum, Zeit 1. Oktober 2018, 15:15-16:30
Ort 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. Oktober 2018
15:15-16:30 		Octav Cornea
University of Montreal
Details

Symplectic Geometry Seminar

Titel Weighted fragmentation metrics and a conjecture of Viterbo
Referent:in, Affiliation Octav Cornea, University of Montreal
Datum, Zeit 8. Oktober 2018, 15:15-16:30
Ort 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. Oktober 2018
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 15. Oktober 2018, 15:15-16:30
Ort
No seminar
22. Oktober 2018
15:15-16:15 		Gleb Smirnov
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Elliptic curves and symplectic mapping class groups
Referent:in, Affiliation Gleb Smirnov, ETH Zürich
Datum, Zeit 22. Oktober 2018, 15:15-16:15
Ort 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. Oktober 2018
15:15-16:30 		Seongchan Kim
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Symmetric periodic orbit and a conjecture of Seifert
Referent:in, Affiliation Seongchan Kim, ETH Zürich
Datum, Zeit 29. Oktober 2018, 15:15-16:30
Ort 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
Details

Symplectic Geometry Seminar

Titel Arboreal singularities and loose Legendrians. (NOTE SPECIAL DATE AND ROOM!!!)
Referent:in, Affiliation Emmy Murphy, Northwestern University
Datum, Zeit 2. November 2018, 15:15-16:30
Ort 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
Details

Symplectic Geometry Seminar

Titel A homotopical viewpoint at the Poisson bracket invariants for tuples of sets
Referent:in, Affiliation Yaniv Ganor, Tel-Aviv University, Israel
Datum, Zeit 5. November 2018, 15:15-16:30
Ort 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
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 12. November 2018, 15:15-16:30
Ort HG G 43
No seminar
HG G 43
19. November 2018
15:15-16:30 		Martin Guest
Waseda University, Japan
Details

Symplectic Geometry Seminar

Titel Quantum cohomology and reality
Referent:in, Affiliation Martin Guest, Waseda University, Japan
Datum, Zeit 19. November 2018, 15:15-16:30
Ort 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
Details

Symplectic Geometry Seminar

Titel Stability conditions and the Lagrangian cobordism group
Referent:in, Affiliation Felix Hensel, ETH Zürich
Datum, Zeit 26. November 2018, 15:15-16:30
Ort HG G 43
Stability conditions and the Lagrangian cobordism group
HG G 43
3. Dezember 2018
15:15-16:30 		Will Merry
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Symplectic cohomology of magentic cotangent bundles
Referent:in, Affiliation Will Merry, ETH Zürich
Datum, Zeit 3. Dezember 2018, 15:15-16:30
Ort 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. Dezember 2018
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 10. Dezember 2018, 15:15-16:30
Ort
No seminar
17. Dezember 2018
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 17. Dezember 2018, 15:15-16:30
Ort
No seminar

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