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:
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.



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 below.




Next meeting:

October 23: Michael Hutchings (Berkeley)

Title: Examples related to Viterbo's conjectures

Abstract: Viterbo conjectured that a normalized symplectic capacity, on convex domains of a given volume, is maximized for the ball. A stronger version of this conjecture asserts that all normalized symplectic capacities agree on convex domains. Since convexity is not symplectomorphism invariant, one can also ask to what extent these statements still hold for nonconvex domains. We survey some special cases and examples around these questions, including recent joint works with Julian Chaidez and Jean Gutt + Vinicius Ramos.





Future talks:


October 30: 

Three 20 min research talks: 


Simon Allais (ENS Lyon)

Title: Generating functions in Hamiltonian dynamics and symplectic-contact rigidity

Abstract:
Generating functions of Hamiltonian diffeomorphisms are maps that can be seen as finite dimensional versions of the action functional. In various situations, classical Morse theory applied to them can retrieve the same information as the Floer theory. In this talk, I will introduce this tool and expose some old and new results of Hamiltonian dynamics and symplectic rigidity that can be retrieved and sometimes extended using elementary Morse theory and generating functions; among others, the recent theorem of Shelukhin about the Hofer-Zehnder conjecture in the special case of CP^d and a contact generalization of the symplectic camel theorem.

Orsola Capovilla-Searle (Duke University)

Title:
Weinstein handle decompositions of complements of toric divisors in toric 4 manifolds

Abstract:
We consider toric 4 manifolds with certain toric divisors that have normal crossing singularities. The normal crossing singularities can be smoothed, changing the topology of the complement. In specific cases this complement has a Weinstein structure, and we develop an algorithm to construct a Weinstein handlebody diagram of the complement of the smoothed toric divisor. The algorithm we construct more generally gives a Weinstein handlebody diagram for Weinstein 4-manifolds constructed by attaching 2 handles to T*S for any surface S, where the 2 handles are attached along the conormal lift of curves on S. Joint work with Bahar Acu,  Agnes Gadbled, Aleksandra Marinkovic, Emmy Murphy, Laura Starkston and Angela Wu.

Julian Chaidez (UC Berkeley)

Title:
ECH Embedding Obstructions For Rational Surfaces

Abstract:
Is the Gromov width on toric varieties monotonic with respect to inclusions of moment polytopes? In this talk, I will prove a generalization in dimension 4: the "width" associated to a concave toric domain is monotonic with inclusion of momenty polygons. This is an application of some new algebro-geometric obstructions for embeddings of star-shaped domains into rational surfaces. This work is joint with Ben Wormleighton.

--

November 6: Kai Cieliebak (Augsburg), TBA

November 13: Nick Sheridan (Edinburgh), TBA

November 20: Paul Biran (ETH, Zürich), TBA

November 27:  Three 20 min research talks.

December 4: Eva Miranda ( Universitat Politècnica de Catalunya), TBA

December 11: Basak Gurel (University of Central Florida), TBA




Past talks:

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)The Simplicity Conjecture (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.  We 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)