## Symplectic Zoominar (CRM-Montreal, Princeton/IAS, Tel Aviv, and
Paris).

**MAIN
ZOOM link: https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09
(Meeting ID: 943 6616 6514 ; Passcode: 113760)**

(alternate link will be used as main link
starting February 5, 2021 : https://theias.zoom.us/j/97116147750?pwd=L2Fud1Y4Z2xsT3dhU2NrV0ZXd3lUQT09)

Date and hour: Fridays, 9:15 - 10:45 (Montreal/Princeton
hour).

Regular research talks are of 60 minutes; 30 minutes are
reserved for discussion at the end of each talk (see VARIA
below).

It is intended that talks be accessible to a global community in
symplectic geometry/topology and beyond (thus, they should
contain an introduction of interest to a broad
audience).

**The Zoominar promotes an atmosphere
of collegiality, equity and respect and is committed to creating
a welcoming and inclusive environment for all
participants, enabling them to fully focus on mathematics.**

Postdoctoral announcements at the bottom of the page (send a
message at octav.cornea@gmail.com if you want to post one).

** **** **

* ** *

Once a month we intend to have a seminar consisting of three 20
min talks (followed each by 10 min of discussion time) reserved
to young researchers/recent PhD's. In case you want to talk or
to nominate someone, **see VARIA 4 belo**

**Next meeting**:

January 29: Three 20 min research talks:

Alexandre Jannaud (**
University of Neuchâtel), ***Dehn-Seidel
twist, C^0 symplectic geometry and barcodes*

__Abstract: __In this talk I will present my work
initiating the study of the $C^0$ symplectic mapping class group,
i.e. the group of isotopy classes of symplectic homeomorphisms,
and briefly present the proofs of the first results regarding the
topology of the group of symplectic homeomorphisms. For that
purpose, we will introduce a method coming from Floer theory and
barcodes theory. Applying this strategy to the Dehn-Seidel twist,
a symplectomorphism of particular interest when studying the
symplectic mapping class group, we will generalize to $C^0$
settings a result of Seidel concerning the non-triviality of the
mapping class of this symplectomorphism. We will indeed prove that
the generalized Dehn twist is not in the connected component of
the identity in the group of symplectic homeomorphisms. Doing so,
we prove the non-triviality of the $C^0$ symplectic mapping class
group of some Liouville domains.

Tim Large (MIT), *Floer K-theory and exotic Liouville
manifolds*

*Abstract:* In this short talk, I will
explain how to construct Liouville manifolds which have zero
traditional symplectic cohomology but interesting symplectic
K-theory. In particular, we construct an exotic symplectic
structure on Euclidean space which is not distinguished by
traditional Floer homology invariants. Instead, it is detected by
a module spectrum for complex K-theory, built as a variant of
Cohen-Jones-Segal’s Floer homotopy type. The proof involves
passage through (wrapped) Fukaya categories with coefficients in a
ring spectrum, rather than an ordinary ring.

**Oliver Edtmair (Berkeley)****, ***3D
convex contact forms and the Ruelle invariant *

* *__Abstract:__* *Is every dynamically
convex contact form on the three sphere convex? In this talk I
will explain why the answer to this question is no. The strategy
is to derive a lower bound on the Ruelle invariant of convex
contact forms and construct dynamically convex contact forms
violating this lower bound. This is based on joint work with
Julian Chaidez.

Future talks:

**February 5: Yusuf ****Baris **Kartal (Princeton), TBA

**February 12:** **Cheuk Yu Mak (Edinburgh)**, TBA

**February 19:** **Daniel Pomerleano (Boston)**, TBA

** **** *** *

Past talks:

**January 22: ****Basak Gurel (University of Central Florida)**,
*Pseudo-rotations vs. rotations *(slides), (video)

**January 15, 2021: **Lisa Jeffrey (University of Toronto), *Symplectic
implosion* (slides),
(video)

**December 11:** Zhengyi Zhou (IAS,
Princeton), *Hierarchies of contact manifolds via rational
SFT* (slides),
(video)

**December 4**: Eva Miranda ( Universitat Politècnica de
Catalunya), *The singular Weinstein conjecture and the
Contact/Beltrami mirror* (slides),
(video)

**November 27**: Three 20 min research talks:

Yu-Wei Fan (Berkeley), *Shifting numbers in triangulated
categories *(slides);
Surena Hozoori (Georgia Tech), *Symplectic Geometry of Anosov
Flows in Dimension 3 and Bi-Contact Topology *(slides);
Marcelo Atallah (Montreal), *Hamiltonian no-torsion* (slides) (video
of all three talks).

**November 20**: Paul Biran (ETH, Zürich), *Persistence
and Triangulation in Lagrangian Topology* (__slides__),
(video).

**November 13: **Nick Sheridan (Edinburgh), *Quantum
cohomology as a deformation of symplectic cohomology* (slides),
(video)

**November 6:** Kai Cieliebak (Augsburg), *Secondary
coproducts in Morse and Floer homology *(slides),
(video)

October 30: *Three 20 min research talks: *

Simon Allais (ENS Lyon)*, **Generating functions in
Hamiltonian dynamics and symplectic-contact rigidity (*slides*)*,
Orsola Capovilla-Searle (Duke University)*, **Weinstein
handle decompositions of complements of toric divisors in toric 4
manifolds (*slides*)*,
Julian Chaidez (UC Berkeley)*, **ECH Embedding Obstructions
For Rational Surface*s* (*slides*),
*(video
of the three talks)*.*

**October 23:** Michael Hutchings (Berkeley), *Examples
related to Viterbo's conjectures* (slides),
(video)

**October 16:** Umut Varolgunes (Stanford), *Mirror
symmetry for chain type polynomials* (slides), (video)

**October 9:** Lev Buhovski (Tel Aviv), *The Arnold
conjecture, spectral invariants and C^0 symplectic topology *(slides), (video)

**October 2: **Dusa McDuff (Columbia), *Embedding ellipsoids
into the one-point blowup of $\C P^2$*** **(slides), (video)

**September 25**: Jun Zhang (Montreal), *Triangulated
persistence categories *(slides),
(video)

September 18: Cheol-Hyun Cho (Seoul), *Fukaya
category for Landau-Ginzburg orbifolds and Berglund-H\"ubsch
homological mirror symmetry for curve singularities
*(slides), (video)

September 11: Vincent Colin (Nantes), *Reeb dynamics in
dimension 3 and broken book decompositions* (slides), (video)

September 4: Georgios Dimitroglou Rizell (Uppsala)*,
**Hamiltonian classification and unlinkedness
of fibres in cotangent bundles of Riemann surfaces *(slides), (video)

July 24: John Pardon (Princeton)*, Pontryagin--Thom for
orbifold bordism *(slides),
(video)

**July 17: **Three 20 min research talks*: *

Yusuke Kawamoto (Paris), *Homogeneous
quasimorphism, C^0-topology and Lagrangian intersection*
(slides); Shira Tanny (Tel
Aviv), *Floer theory of disjointly supported Hamiltonians* (slides) ; Javier
Martínez-Aguinaga (Madrid), *Formal Legendrian and
horizontal embeddings** *(slides), (video
-for the three talks)*. *

**July 10: **Peter Ozsvath (Princeton)*, Knot Floer
homology and bordered algebras** *(slides), (video)

**July 3: **Ana Rita Pires (Edinburgh)*, **
Infinite staircases and reflexive polygons* (slides), (video)

**June 26: **Ailsa Keating (Cambridge)*, Distinguishing
monotone Lagrangians via holomorphic annuli** *(slides), (video)

**June 19: **Igor Uljarevic (Belgrade), *Exotic
symplectomorphisms and contact circle action *(slides)*, *(video)

**June 12:** Mark Mclean (SUNY, Stony Brook), *Floer
Cohomology and Arc Spaces *(slides),
(video)

June 5: Three 20 min research talks:

Morgan Weiler (Rice): *Infinite staircases of symplectic
embeddings of ellipsoids into Hirzebruch surfaces *(slides), (video)*;
*Joé Brendel (Neuchatel): *Real Lagrangian Tori in toric
symplectic manifolds *(slides),
(video)*;
*Abror Pirnapasov (Bochum): *Reeb orbits that force
topological entropy *(slides),
(video).

**May 29:** Alex Oancea (Paris), *Duality for
Rabinowitz-Floer homology *(slides),
(video)

**May 22:** Denis Auroux (Harvard), *Mirrors of
curves and their Fukaya categories *(slides) , (video)

**May 15:** Jo Nelson (Rice), *Reflections on
Cylindrical Contact Homology* (slides),
(video)

May 8: Marco Mazzucchelli (ENS- Lyon), *Spectral
characterizations of Besse and Zoll Reeb flows *(slides)*, *(video)

**May 1st:** Alberto Abbondandolo
(Bochum), *Zoll contact forms are local maximisers of the
systolic ratio *(slides)

**April 24:** Lisa Traynor (Bryn Mawr)**, ***The
Geography of Immersed Lagrangian Fillings of Legendrian
Submanifolds *(slides),
(video)

**April 17: **Nicholas Wilkins
(Bristol)**, ***Equivariant quantum operations and
relations between them* (slides),
(video)

**April 10: **Leonid Polterovich (Tel Aviv)**, ***Geometry
of Quantum Uncertainty* (slides), (video)

**April 3: **Daniel Cristofaro-Gardiner (IAS)**,
***T**he Simplicity Conjectu**re *(slides),
(video)

**March 27**: Octav Cornea (Université de
Montréal), *Fragmentation pseudo-metrics and Lagrangian
submanifolds *(slides),
(video)

Varia:

1. **Please do not hesitate to ask questions**: first indicate
your intention (or even the question) by chat, then, when invited
by the host/organizer, use your microphone and video (if
available).

3. **There will be 30 min at the
end of each talk reserved for discussion.** The first 15
minutes (roughly) are, mainly, for questions addressed to
the speaker. After that, questions and answers may involve
different participants.

3. **We post links to the slides
of the talks as well as links to recordings** of the talks.

4. **W****e intend to have once a month a seminar
consisting of**** three 20min talks** (followed each by 10min
of discussion time) given by young researchers/recent PhD's.
Suggestions, nominations, and volunteers (including a title
and short abstract) should be sent to Egor Shelukhin at*
egorshel@gmail.com*
(with cc to* octav.cornea@gmail.com*
).

**Current Zoominar Organizers:** Daniel Álvarez-Gavela (MIT),
Octav Cornea (Montreal), Dan Cristofaro-Gardiner (IAS), Helmut Hofer
(IAS), **Yusuf Baris Kartal (Princeton)**
Leonid Polterovich (Tel Aviv), Egor Shelukhin (Montreal), Sara
Tukachinsky (IAS), Claude Viterbo (Paris), Zhengyi Zhou (IAS)

__Postdoctoral announcements (Fall 2020).__