Knots, Strings, Symplectic Geometry and Dualities
September 1 - December 11, 2020
Very fruitful interactions between geometry and physics has had large impact on mathematics over the last 35 years. Exceptionally symmetric theories in physics become topologically invariant and have found their mathematical counterparts. These physical theories are typically part of a larger framework that is often hard to capture mathematically but nevertheless very useful and effective for finding dualities between different theories.
For a brief description of how such dualities arise consider some intrinsically quantum theory. The classical limit of such a theory is not unique but any two of its classical limits are naturally related. This leads to dualities between distinct limits, and these can even interchange small fluctuations near one limit with large fluctuations near another.
A well-known example of a duality is mirror symmetry where certain twists in topological string theory gives rise to connections between symplectic (A-model topological string) and complex (B-model topological string) geometry. Another key example from the interface between geometry, topology, and physics that is central to this proposal is the connection between knot invariants and holomorphic curve counting that arise from a chain of dualities connecting Chern-Simons gauge theory to open strings and then through a geometric transition to closed string.
Interactions between geometry, topology and physics continue to pose and solve central mathematical problems and it is to this framework the proposed program belongs.
Participation in the program is by invitation only.
Seminars Scroll to the next upcoming seminar
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Augmentations, Annuli, and Alexander polynomials September 03 14:00 - 15:00 -
Secondary coproducts in Morse and Floer homology September 08 14:00 - 15:00 Secondary coproducts in Morse and Floer homology
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Floer homotopy without spectra September 15 14:00 - 15:00 Floer homotopy without spectra
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Skeins on branes September 24 14:00 - 15:00 Skeins on branes
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Fiber Floer cohomology and conormal stops October 01 14:00 - 15:00 Fiber Floer cohomology and conormal stops
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On the spatial restricted three-body problem October 08 14:00 - 15:00 On the spatial restricted three-body problem
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A symplectic look at the Fargues-Fontaine curve October 15 14:00 - 15:00 A symplectic look at the Fargues-Fontaine curve
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Infinitely many fillings through augmentations October 22 14:00 - 15:00 Infinitely many fillings through augmentations
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Knot Floer homology and monodromy October 29 14:00 - 15:00 Knot Floer homology and monodromy
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Displacement energy of Lagrangian 3-spheres November 05 14:00 - 15:00 Displacement energy of Lagrangian 3-spheres
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Perturbations for bare curve counts November 12 14:00 - 15:00 Perturbations for bare curve counts
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Legendrian lifts of montone tori November 17 14:00 - 15:00 Legendrian lifts of montone tori
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Contact geometry in the restricted three-body problem (part I) November 23 17:00 - 19:30 Contact geometry in the restricted three-body problem (part I)
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Contact geometry in the restricted three-body problem (part II) November 25 17:00 - 19:30 Contact geometry in the restricted three-body problem (part II)
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Contact geometry in the restricted three-body problem (part III) November 26 17:00 - 19:30 Contact geometry in the restricted three-body problem (part III)
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Small energy isotopies of loose Legendrians December 03 14:00 - 15:00 Small energy isotopies of loose Legendrians
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Mohammed Abouzaid | University: Columbia University | City: United States | Arrival and Departure: Sep 1 - Sep 6, 2020 |
| Dylan Allegretti | University: University of Sheffield | City: United Kingdom | Arrival and Departure: Oct 4 - Dec 4, 2020 |
| Hulya Arguz | University: University of Versailles Saint-Quentin-en-Yvelines | City: France | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Johan Asplund | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Jennifer Brown | University: University of California, Davis | City: United States | Arrival and Departure: Sep 30, Nov 9 - Nov 8, Dec 11, 2020 |
| Roger Casals | University: University of California, Davis | City: United States | Arrival and Departure: Sep 1 - Oct 3, 2020 |
| Marco Castronovo | University: Rutgers, The State University of New Jersey | City: Canada | Arrival and Departure: Sep 1 - Sep 30, 2020 |
| Baptiste Chantraine | University: Université de Nantes | City: France | Arrival and Departure: Oct 24, Nov 29 - Nov 1, Dec 6, 2020 |
| Zhechi Cheng | University: Columbia University | City: United States | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Kai Cieliebak | University: University of Augsburg | City: Germany | Arrival and Departure: Aug 31, Sep 15 - Sep 15, Oct 1, 2020 |
| Vincent Colin | University: Université de Nantes | City: France | Arrival and Departure: Oct 26 - Nov 7, 2020 |
| Laurent Côté | University: Harvard University | City: United Kingdom | Arrival and Departure: Oct 6 - Oct 16, 2020 |
| Ben Davison (Online) | University: University of Edinburgh | City: United Kingdom | Arrival and Departure: Sep 1 - Sep 20, 2020 |
| Michele Del Zotto | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Georgios Dimitroglou Rizell | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Tudor Dimofte | University: University of California, Davis | City: United States | Arrival and Departure: Oct 5 - Oct 18, 2020 |
| Luis Diogo | University: Universidade Federal Fluminense | City: Brazil | Arrival and Departure: Aug 29 - Dec 12, 2020 |
| Aleksander Doan | University: Columbia University | City: United States | Arrival and Departure: Nov 16 - Nov 29, 2020 |
| Tobias Ekholm | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Yakov Eliashberg | University: Stanford University | City: United States | Arrival and Departure: Sep 1 - Sep 17, 2020 |
| Kenji Fukaya | University: Stony Brook University | City: United States | Arrival and Departure: Sep 1 - Sep 30, 2020 |
| Sheel Ganatra | University: University of Southern California | City: United States | Arrival and Departure: - |
| Niklas Garner | University: University of California, Davis | City: United States | Arrival and Departure: Oct 2 - Dec 11, 2020 |
| Penka Georgieva | University: Sorbonne University | City: France | Arrival and Departure: Oct 11 - Oct 22, 2020 |
| Ezra Getzler | University: Northwestern University | City: United States | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Paolo Ghiggini | University: Université de Nantes | City: France | Arrival and Departure: Oct 7 - Dec 11, 2020 |
| Roman Golovko | University: Charles University in Prague | City: Czech Republic | Arrival and Departure: Oct 1 - Oct 31, 2020 |
| Sergei Gukov (Online) | University: California Institute of Technology, Caltech | City: United States | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Pavel Hajek | University: Universität Hamburg | City: Germany | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| William Hedlund | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Ko Honda | University: University of California, UCLA | City: United States | Arrival and Departure: Sep 1 - Sep 15, 2020 |
| Yang Huang | University: Aarhus University | City: Denmark | Arrival and Departure: Oct 1 - Dec 11, 2020 |
| Axel Husin (Online) | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Michael Hutchings | University: University of California, Berkeley | City: United States | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Nikolaos Iakovidis | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Dionne Ibarra | University: The George Washington University | City: United States | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Eleny Ionel | University: Stanford University | City: United States | Arrival and Departure: Sep 1 - Sep 30, 2020 |
| Sudipta Kolay | University: Georgia Institute of Technology | City: United States | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Thomas Kragh | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Piotr Kucharski | University: California Institute of Technology, Caltech | City: United States | Arrival and Departure: Oct 11, Sep 1, Nov 2 - Nov 1, Oct 10, Dec 11, 2020 |
| Tatsuki Kuwagaki | University: Osaka University | City: Japan | Arrival and Departure: Sep 18 - Sep 30, 2020 |
| Janko Latschev | University: Universität Hamburg | City: Germany | Arrival and Departure: Aug 31 - Sep 30, 2020 |
| Oleg Lazarev | University: Columbia University | City: United States | Arrival and Departure: Oct 4, Oct 16 - Oct 16, Nov 15, 2020 |
| Heather Lee | University: University of Washington | City: United States | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Nomie Legout | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Yanki Lekili | University: King's College London | City: United Kingdom | Arrival and Departure: Sep 25 - Oct 25, 2020 |
| Wanmin Liu | University: | City: | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Pietro Longhi | University: Uppsala University | City: Sweden | Arrival and Departure: Oct 18, Nov 29 - Oct 30, Dec 11, 2020 |
| Matthew Magill | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Agustin Moreno | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Hiraku Nakajima | University: The University of Tokyo | City: Japan | Arrival and Departure: Sep 21 - Oct 2, 2020 |
| Lukas Nakumara | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Satoshi Nawata | University: Fudan University | City: China | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Nikita Nekrasov | University: Simons Center for Geometry and Physics | City: United States | Arrival and Departure: Oct 1 - Oct 14, 2020 |
| Lenhard Ng | University: Duke University | City: United States | Arrival and Departure: Nov 15, Oct 4 - Nov 21, Oct 17, 2020 |
| Alexandru Oancea | University: Institut Mathematiques de Jussieu | City: France | Arrival and Departure: Oct 17 - Nov 1, 2020 |
| Alexei Oblomkov | University: University of Massachusetts Amherst | City: United States | Arrival and Departure: Oct 1 - Nov 30, 2020 |
| Nadia Ott | University: University of Minnesota | City: United States | Arrival and Departure: Sep 6 - Dec 11, 2020 |
| John Pardon | University: Princeton University | City: United States | Arrival and Departure: Sep 1 - Oct 31, 2020 |
| Sunghyuk Park | University: California Institute of Technology, Caltech | City: United States | Arrival and Departure: Sep 1 - Oct 31, 2020 |
| Lada Peksova | University: Charles University in Prague | City: Czech Republic | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Adrian Petr | University: Université de Nantes | City: France | Arrival and Departure: Nov 1 - Dec 11, 2020 |
| Pavel Putrov | University: The Abdus Salam International Centre for Theoretical Physics, ICTP | City: Italy | Arrival and Departure: Sep 21 - Oct 9, 2020 |
| Sebastian Pöder Balkenståhl | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Jian Qiu | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Daniel Roggenkamp | University: University of Mannheim | City: Germany | Arrival and Departure: Oct 26 - Nov 4, 2020 |
| Johan Rydholm | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Ingmar Saberi | University: Heidelberg University | City: Germany | Arrival and Departure: Nov 2 - Nov 16, 2020 |
| Vivek Shende | University: Centre for Quantum Mathematics | City: Denmark | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Ivan Smith | University: University of Cambridge | City: United Kingdom | Arrival and Departure: Sep 1 - Sep 27, 2020 |
| Yan Soibelman | University: Kansas State University | City: United States | Arrival and Departure: Nov 23 - Dec 6, 2020 |
| Jake Solomon | University: The Hebrew University of Jerusalem | City: Israel | Arrival and Departure: Sep 1 - Sep 5, 2020 |
| Andras Stipsicz | University: Alfréd Rényi Institute of Mathematics | City: Hungary | Arrival and Departure: Sep 14 - Oct 11, 2020 |
| Marko Stosic | University: Technical University of Lisbon | City: Portugal | Arrival and Departure: Nov 5 - Nov 12, 2020 |
| Piotr Sulkowski | University: California Institute of Technology, Caltech | City: United States | Arrival and Departure: - |
| Yuhan Sun (Online) | University: Rutgers, The State University of New Jersey | City: Canada | Arrival and Departure: Sep 1 - Dec 11, 2020 |
| Alex Takeda | University: Institut des Hautes Études Scientifiques (IHÉS) | City: France | Arrival and Departure: Sep 4 - Dec 12, 2020 |
| Jörg Teschner | University: Universität Hamburg | City: Germany | Arrival and Departure: Sep 1 - Sep 17, 2020 |
| Johannes Walcher | University: Heidelberg University | City: Germany | Arrival and Departure: Oct 3 - Oct 10, 2020 |
| Thomas Walpuski | University: Michigan State University | City: United States | Arrival and Departure: Nov 21 - Nov 29, 2020 |
| Luya Wang | University: University of California, Berkeley | City: United States | Arrival and Departure: Oct 15 - Dec 7, 2020 |
| Paul Wedrich | University: Australian National University | City: Australia | Arrival and Departure: Sep 1 - Sep 25, 2020 |
| Harold Williams | University: University of California, Davis | City: United States | Arrival and Departure: Nov 2 - Nov 6, 2020 |
| Maxim Zabzine | University: Uppsala University | City: Sweden | Arrival and Departure: Sep 1 - Dec 11, 2020 |