Scientific organiers
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Izar Alonso Lorenzo, Rutgers University
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Bernhard Hanke , University of Augsburg
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Christos Mantoulidis , Rice University
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Markus Upmeier, University of Aberdeen
About:
The workshop’s goal is to explore connections across mathematical communities that study different geometric moduli spaces. Our workshop will bring together researchers from positive scalar curvature geometry, minimal surface theory, harmonic mapping theory, and special geometries. The study of moduli spaces naturally draws on a confluence of ideas from neighbouring fields, and in each of these areas there is a tradition of exploiting rigidity, genericity, and stability phenomena.
Despite many parallel developments, there has been surprisingly limited interaction and cross-collaboration across these communities. This workshop aims to foster new connections and to elucidate future research directions.
Programme:
| MONDAY 19 MAY 2025 | ||
| Registration and refreshments | ||
| Welcome and housekeeping | ||
| John Pardon, Stony Brook University | Derived moduli spaces of pseudo-holomorphic curves | |
| Refreshments | ||
| Kai Cieliebak, University of Augsburg | Moduli spaces of holomorphic curves | |
| Lunch | ||
| Dominic Joyce, University of Oxford | Bordism categories and orientations of moduli spaces | |
| Refreshments | ||
| Martinus Kool, University of Utrecht | Virtual structure on Hilbert schemes of affine 4-space | |
| Refreshments | ||
| Sebastian Goette, University of Freiburg | A Cobordism approach to calibrated submanifolds | |
| Welcome reception, hosted at ICMS | ||
| TUESDAY 20 MAY 2025 | ||
| Simon Brendle, Columbia University | Systolic inequalities and the Horowitz-Myers conjecture | |
| Refreshments | ||
| Christian Bär, Universität Potsdam | Dirac eigenvalues, the hyperspherical radius and applications | |
| Lunch | ||
| Thomas Schick, Universität Göttingen | Rigidity of positive scalar curvature under low regularity | |
| Refreshments | ||
| Rudolf Zeidler, University of Potsdam | Positive scalar curvature with point singularities | |
| Refreshments | ||
| Sven Hirsch, Columbia University | Rigidity in General Relativity | |
| WEDNESDAY 21 MAY 2025 | ||
| Chikako Mese, Johns Hopkins University | Harmonic map and rigidity | |
| Refreshments | ||
| Felix Schulze, University of Warwick | Generic regularity of area minimising hypersurfaces up to dimension 11 | |
| Group photograph then lunch and free afternoon | ||
| THURSDAY 22 MAY 2025 | ||
| Jonathan Bowden, University of Regensburg | The geometry of surface automorphism groups | |
| Refreshments and poster session | ||
| Ruxandra Moraru, University of Waterloo | New examples of compact holomorphic symplectic manifolds | |
| Lunch | ||
| Uwe Semmelmann, University of Stuttgart | Quaternionic Kähler manifolds of non-negative curvature | |
| Refreshments | ||
| Marie-Amelie Lawn, Imperial College | Generalized spin structures on homogeneous and cohomogeneity one spaces | |
| Refreshments | ||
| Aleksander Doan, University College London | On the fixed domain Gromov–Witten invariants of positive symplectic manifolds | |
| Workshop dinner, hosted at Apex Grassmarket Hotel | ||
| FRIDAY 23 MAY 2025 | ||
| Marina Logares, Universidad Complutense de Madrid | Poisson geometry of wild parabolic Higgs bundles | |
| Refreshments and poster session | ||
| Jason Lotay, University of Oxford | The heterotic SU(3) moduli space | |
| Lunch and end of workshop |
Sponsors and Funders:
Organised in partnership with the Clay Mathematics Institute
