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Dear all,

This is an announcement that applications have opened for *Kylerec 2019*, a
student workshop in symplectic geometry and contact topology happening in
California this summer. We would appreciate your help advertising this
program and or fowrading this email to all graduate students who might be
interested.

The topic for Kylerec 2019 is *"Sheafy Symplectic Topology"*.

Graduate students at any stage are encouraged to apply. We especially
encourage applications from women, underrepresented minorities, and we are
committed to providing assistance to students with disabilities or special
needs. We are grateful to the NSF for their support. Local expenses
(including lodging and food) and partial travel expenses will be covered
for participants.


*Applications due by March 22nd. Please apply at this link
https://form.jotform.com/90358074641155
<https://urldefense.proofpoint.com/v2/url?u=https-3A__form.jotform.com_90358074641155&d=DwMF-g&c=imBPVzF25OnBgGmVOlcsiEgHoG1i6YHLR0Sj_gZ4adc&r=dZOJiaLU2YnHpJjP35L1OQGLAXABJTxUolDT47pWCrk&m=gpNB2ZSGU5PrDV7teZHDStqLKQbFB487ZuyLM3Y-n-c&s=E8DAW1l3CXzI0Mq_ur5jCL4qdFnMwqzCTtmy7qlQZ3I&e=>
*

*Format: *Kylerec is a student-led and student-run workshop. We will live
in a communal setting, sharing cooking and cleaning responsibilities. Talks
will be given by a majority of participants, with guidance from our
mentors. Our vision is to foster a healthy, relaxed and creative atmosphere
where we can learn mathematics together and make human connections in the
process.

*Topic: *This year, we will investigate the * relationship between the
Fukaya categories of exact symplectic manifolds and sheaf theory*. Fukaya
categories are a central part of modern symplectic topology, mirror
symmetry and low-dimensional topology, however they remain very difficult
to compute. On the other hand, categories of constructible sheaves are much
more concrete and tractable. In the case of a cotangent bundles, the work
of Nadler-Zaslow identifies the wrapped Fukaya category with a certain
category of sheaves on the zero-section. For more general Weinstein
manifolds, it is conjectured that one can find a Lagrangian skeleton,
generalising the zero-section of a cotangent bundle, with at worst
singularities from Nadler's “arboreal” list. The wrapped Fukaya category is
then expected to coincide with a category of sheaves on this skeleton. In
particular, this suggests Fukaya categories should themselves exhibit
“sheafy” properties: they might be reconstructed by breaking a symplectic
manifold into pieces and gluing together local computations. One approach
to doing this is provided by the work of Ganatra-Pardon-Shende, with many
important structural implications for wrapped Fukaya categories.
This workshop will survey this circle of ideas. After covering the basics
of Floer theory, the Fukaya category and sheaf theory, we will delve into
the work of Nadler-Zaslow and Ganatra-Pardon-Shende. We hope to see lots of
interesting examples, calculations and applications along the way, in
particular the aforementioned arboreal singularities. This should be of
great interest to both newcomers to the symplectic and contact geometry,
and more advanced graduate students.

*Mentors: * *Sheel Ganatra (USC), Xin Jin (Boston College), Laura Starkston
(UC Davis), and Umut Varolgunes (Stanford).*

*Dates: May 31-  June 6, 2019*

*Location: Truckee CA (near Lake Tahoe)*

*For further questions, please email [log in to unmask]
<[log in to unmask]>. *

More information is available at https://kylerec.wordpress.com/
<https://urldefense.proofpoint.com/v2/url?u=https-3A__kylerec.wordpress.com_&d=DwMF-g&c=imBPVzF25OnBgGmVOlcsiEgHoG1i6YHLR0Sj_gZ4adc&r=dZOJiaLU2YnHpJjP35L1OQGLAXABJTxUolDT47pWCrk&m=gpNB2ZSGU5PrDV7teZHDStqLKQbFB487ZuyLM3Y-n-c&s=dwKsM-BX8oZ2EpsIUAhdo3BGbyhTYfw8F4XrWlorhm4&e=>
Thank you for your time and we hope to see you there!

Best Regards,
Orsola Capovilla-Searle (Duke), on behalf of the organizing committee: Orsola
Capovilla-Searle (Duke), Dahye Cho (StonyBrook), Cédric De Groote
(Stanford), Tim Large (MIT), and Sarah McConnell (Stanford).

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