Enumerative Invariants, Quantum Fields and String Theory Correspondences
July 25 - July 29, 2022
The study of enumerative invariants of Calabi-Yau (CY) manifolds is a fertile source of connections between algebraic geometry, representation theory, and string theory. This field has undergone rapid development in recent years. In the context of mathematics, this includes novel results on DT invariants, on wall crossing, on the automorphic properties of invariants of elliptically-fibered manifolds, and on the generalization to other special holonomy manifolds. From a physics perspective this goes hand in hand with a deeper understanding of quantum field theories/supergravity theories and their twisted partition functions, which brings into play various different perspectives including twisted/topological M-theory, higher dimensional SCFTs, and string theory correspondences.
The purpose of this workshop is to bring together physicists and mathematicians working on enumerative geometry and related areas to promote the dissemination of recent results and build new bridges across interdisciplinary boundaries.
This workshop is co-funded by the ERC project MEMO.
Seminars Scroll to the next upcoming seminar
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Matrix Factorizations and Homological Mirror Symmetry July 25 10:00 - 11:00 -
Cohomological Hall algebras and affine Yangians July 25 11:00 - 12:00 Cohomological Hall algebras and affine Yangians
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Counting BPS states with discrete charges in M-theory July 25 13:30 - 14:30 Counting BPS states with discrete charges in M-theory
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The partition function of Calabi-Yau threefolds with torsion July 25 14:30 - 15:30 The partition function of Calabi-Yau threefolds with torsion
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Comments on the U-plane of 5d SCFTs July 25 16:00 - 17:30 Comments on the U-plane of 5d SCFTs
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Topological correlators of 4d N=2* and 5d N=1 super Yang-Mills (online talk) July 25 17:00 - 18:00 Topological correlators of 4d N=2* and 5d N=1 super Yang-Mills (online talk)
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Holomorphic anomaly equations for Pandharipande-Thomas invariants of elliptic threefolds July 26 09:30 - 10:30 Holomorphic anomaly equations for Pandharipande-Thomas invariants of elliptic threefolds
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Twisted elliptic genera July 26 11:00 - 12:00 Twisted elliptic genera
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Tetrahedron instantons July 26 13:30 - 14:30 Tetrahedron instantons
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Many faces of Calogero-Moser system, as seen by gauge theories and sigma models July 26 14:30 - 15:30 Many faces of Calogero-Moser system, as seen by gauge theories and sigma models
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Non-perturbative quantum geometry, resurgence and BPS structures July 26 16:00 - 17:00 Non-perturbative quantum geometry, resurgence and BPS structures
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Time reversal and CP invariance in Calabi-Yau compactifications July 27 09:30 - 10:30 Time reversal and CP invariance in Calabi-Yau compactifications
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Twisted eleven-dimensional supergravity and exceptional Lie algebras July 27 11:00 - 12:00 Twisted eleven-dimensional supergravity and exceptional Lie algebras
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Wall-crossing from Higgs bundles to vortices July 27 13:30 - 14:30 Wall-crossing from Higgs bundles to vortices
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Knot Homologies from Landau-Ginsburg Models July 27 14:30 - 15:30 Knot Homologies from Landau-Ginsburg Models
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Calabi-Yau Manifolds, Modularity and Arithmetic Geometry July 27 16:00 - 17:00 Calabi-Yau Manifolds, Modularity and Arithmetic Geometry
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A theory of Gopakumar-Vafa invariants for orbifold Calabi-Yau threefolds July 28 09:30 - 10:30 A theory of Gopakumar-Vafa invariants for orbifold Calabi-Yau threefolds
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Curve counting on surfaces and topological strings July 28 11:00 - 12:00 Curve counting on surfaces and topological strings
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Enumerative perspective on q-series invariants in topology (Online) July 28 13:30 - 14:30 Enumerative perspective on q-series invariants in topology (Online)
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CGP invariants of 3-manifolds and BPS q-series July 28 14:30 - 15:30 CGP invariants of 3-manifolds and BPS q-series
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Insights from the quantum modularity of 3-manifold invariants July 28 16:00 - 17:00 Insights from the quantum modularity of 3-manifold invariants
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On Fermionic Rational Conformal Field Theories (Online) July 28 17:00 - 18:00 On Fermionic Rational Conformal Field Theories (Online)
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BPS indices and spectral networks July 29 09:00 - 10:00 BPS indices and spectral networks
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Quiver Yangians and Crystal Meltings (Online) July 29 10:00 - 11:00 Quiver Yangians and Crystal Meltings (Online)
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Murad Alim | University: University of Hamburg | Country: Germany | Arrival and Departure: |
| Johan Asplund | University: Columbia University | Country: United States | Arrival and Departure: |
| Andrea Brini | University: University of Sheffield / CNRS | Country: United Kingdom / France | Arrival and Departure: |
| Jim Bryan | University: University of British Columbia | Country: Canada | Arrival and Departure: |
| Luca Cassia | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Cyril Closset (Online) | University: Birmingham University | Country: United Kingdom | Arrival and Departure: |
| Ioana Coman | University: University of Amsterdam | Country: The Netherlands | Arrival and Departure: |
| Michele Del Zotto | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Georgios Dimitroglou Rizell | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Tobias Ekholm | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Sergei Gukov (Online) | University: California Institute of Technology | Country: United States | Arrival and Departure: |
| Qianyu Hao | University: University of Geneva | Country: Switzerland | Arrival and Departure: |
| Azeem Hasan | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Amir-Kian Kashani-Poor | University: ENS Paris | Country: France | Arrival and Departure: |
| Sheldon Katz | University: University of Illinois Urbana-Champaign | Country: United States | Arrival and Departure: |
| Albrecht Klemm | University: University of Bonn | Country: Germany | Arrival and Departure: |
| Magdalena Larfors (Online) | University: Uppsala university & Durham university | Country: Sweden / United Kingdom | Arrival and Departure: |
| Kimyeong Lee (Online) | University: Korea Institute for Advanced Study | Country: South Korea | Arrival and Departure: |
| Wolfgang Lerche | University: CERN | Country: Switzerland | Arrival and Departure: |
| Muyang Liu | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Guglielmo Lockhart | University: CERN | Country: Switzerland | Arrival and Departure: |
| Pietro Longhi | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Horia Magureanu | University: University of Oxford | Country: United Kingdom | Arrival and Departure: |
| Jan Manschot (Online) | University: Trinity College | Country: Ireland | Arrival and Departure: |
| Nikita Nekrasov | University: Stony Brook University | Country: United States | Arrival and Departure: |
| Georg Oberdieck | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Paul-Konstantin Oehlmann | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Jihwan Oh (Online) | University: Oxford University | Country: United Kingdom | Arrival and Departure: |
| Du Pei | University: Harvard University / The University of Southern Denmark | Country: United States / Denmark | Arrival and Departure: |
| Nicolò Piazzalunga | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Pavel Putrov | University: ICTP | Country: Italy | Arrival and Departure: |
| Jian Qiu | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Miroslav Rapcak | University: UC Berkeley | Country: United States | Arrival and Departure: |
| Ingmar Saberi | University: LMU Munich | Country: Germany | Arrival and Departure: |
| Francesco Sala | University: University of Pisa | Country: Italy | Arrival and Departure: |
| Sakura Schafer-Nameki (Online) | University: University of Oxford | Country: United Kingdom | Arrival and Departure: |
| Thorsten Schimannek | University: Vienna University | Country: Austria | Arrival and Departure: |
| Vivek Shende | University: UC Berkeley / The University of Southern Denmark | Country: United States / Denmark | Arrival and Departure: |
| Kaiwen Sun | University: Korea Institute For Advanced Study | Country: South Korea | Arrival and Departure: |
| Masahito Yamazaki (Online) | University: Kavli IPMU / University of Tokyo | Country: Japan | Arrival and Departure: |
| Maxim Zabzine | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Xinyu Zhang | University: DESY | Country: Germany | Arrival and Departure: |