Workshop
Registration Deadline: | September 17, 2022 almost 2 years ago |
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To apply for Funding you must register by: | June 06, 2022 over 2 years ago |
Parent Program: | |
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Location: | SLMath: Eisenbud Auditorium, Atrium |
Show List of Speakers
- Anna Marie Bohmann (Vanderbilt University)
- Nathaniel Bottman (Max-Planck-Institut für Mathematik)
- Kai Cieliebak
- Nancy Hingston (College of New Jersey)
- Inbar Klang (Columbia University)
- Thomas Kragh (Uppsala University)
- Alexander Kupers (University of Toronto)
- Jianfeng Lin (Tsinghua University)
- Dusa McDuff (Barnard College)
- Alexandru Oancea (Institut de Mathématiques de Jussieu)
- XiaoLin Shi (University of Chicago)
- XiaoLin Danny Shi (University of Washington)
- Chris Wendl (Humboldt-Universität)
- Nicholas Wilkins (Massachusetts Institute of Technology)
- Zhouli Xu (University of California, San Diego)
![Image](/system/paperclip/workshops/data/000/091/436/original/image.jpg)
A Fleur Homotopy.
This will be a hybrid workshop with in-person participation by members of the semester-long program and speakers. Online participation will be open to all who register.
Over the last decade, there has been a wealth of new applications of homotopy-theoretic techniques to Floer homology in low-dimensional topology and symplectic geometry, including Manolescu’s disproof of the high-dimensional Triangulation Conjecture and Abouzaid-Blumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to S-Lie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.
The workshop will feature:
- A Homotopy Theory lecture series by Anna Marie Bohmann and Alexander Kupers, aimed at symplectic geometers
- A Floer Theory lecture series by Dusa McDuff and Chris Wendl, aimed at algebraic topologists
- Paired hour talks on several subjects, connecting classical ideas to recent results:
(a) String topology by Oancea and Hingston
(b) Infinity structures and operads by Bottman and Wilkins
(c) Atiyah-Bott-Shapiro orientations and the Cohen-Jones-Segal construction by Klang and Kragh
(d) Monopole Floer theory and homotopy theory by Lin, Shi, and Xu.
- Moderated question-and-answer sessions about Floer theory and homotopy theory.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
Floer homology
stable homotopy theory
gauge theory
string topology
pseudoholomorphic curves
Khovanov homology
categorification
Show Funding
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Show Lodging
For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.
Show Directions to Venue
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Show Reimbursement Guidelines
Show Schedule, Notes/Handouts & Videos
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Sep 12, 2022 Monday |
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Sep 13, 2022 Tuesday |
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Sep 14, 2022 Wednesday |
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Sep 15, 2022 Thursday |
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Sep 16, 2022 Friday |
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