Scientific Organisers:
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Toti Daskalopoulos, Columbia University
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Jason Lotay, University of Oxford
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Felix Schulze, University of Warwick
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Natasa Sesum, Rutgers University
About:
Geometric flows are powerful tools for tackling important problems across diverse areas in geometry and topology, and beyond. Spectacular successes go back at least to Donaldson’s work on the Hitchin-Kobayashi correspondence, and continue to the present, with the proofs of the Poincare and Geometrization Conjectures, the Differentiable Sphere Theorem, the proof the Anderson-Cheeger-Colding-Tian conjecture in dimension three, and the Generalized Smale Conjecture. There are still many key open problems in a range of areas for which geometric flows provide a natural approach.
To realize the large number of striking potential applications of geometric flows one needs two major inputs. On the one hand, major breakthroughs in the analysis of the nonlinear partial differential equations arising in geometric flows are clearly required. On the other hand, essential input is needed from the particular geometric or topological situation under consideration. The main objective of this workshop was to bring together a range of researchers in geometry and topology, whose research interests were closely aligned to topics where geometric flows either already or are expected to play a key role, with experts in the analysis of geometric flows.
Speakers:
Monday 10 July 2023 | ||
Registration with tea & coffee | ||
Welcome & intro | ||
Gerhard Huisken, University of Tübingen | On concepts of quasi-local mass | |
Short Break | ||
Or Hershkovits , Hebrew University of Jerusalem | Graphical Lorentzian MCF in the positive cosmological constant setting. | |
Lunch | ||
Melanie Rupflin , University of Oxford | Quantitive estimates for (almost) harmonic maps | |
Tea & coffee | ||
Jeff Streets , University of California Irvine | The generalized Kahler Calabi-Yau problem | |
Poster + drinks reception | ||
Tuesday 11 July 2023 | ||
Gabor Szekelyhidi , Northwestern University | Singularities of Lagrangian Mean Curvature Flow | |
Short Break | ||
Sebastien Picard , University of British Columbia | G2 flows and parabolic complex Monge-Ampere equations | |
Tea & coffee | ||
Maxwell Stolarski, University of Warwick | On the Structure of Singularities of Mean Curvature Flows with Mean Curvature Bounds | |
Lunch | ||
Elenora Di Nezza , Mathematics Institute of Jussieu–Paris Rive Gauche | Pluripotential theory in Kähler geometry | |
Tea & coffee | ||
Max Hallgren, Rutgers University | Tangent Flows of Kähler Metric Flows | |
Wednesday 12 July 2023 | ||
Kyeongsu Choi , Korea Institute For Advanced Study | Ancient curve shortening flow with finite Entropy. | |
Short Break | ||
Sigurd Angenent , University of Wisconsin–Madison | Dynamics of convex ancient MCF | |
Tea & coffee | ||
Theodora Bourni, University of Tennessee Knoxville | Ancient pancakes for mean curvature and Ricci flow | |
Lunch & free afternoon | ||
Workshop dinner | ||
Thursday 13 July 2023 | ||
Alix Deruelle , Mathematics Institute of Jussieu–Paris Rive Gauche | On the Hamilton-Lott conjecture in dimension 3 | |
Short Break | ||
Daniele Semola, ETH Zürich | Ricci Curvature, Fundamental Groups, and the Milnor Conjecture | |
Tea & coffee | ||
Brian White , Stanford University | Translators for Mean Curvature Flow | |
Lunch | ||
Lu Wang , Yale University | A mean curvature flow approach to density of minimal cones | |
Tea & coffee | ||
Marco Guaraco, Imperial College | Exploring Mean Curvature Flow for Non-Boundary Surfaces | |
Friday 14 July 2023 | ||
Peter Topping , University of Warwick | Manifolds with PIC1 pinched curvature | |
Short Break | ||
Mariel Saez , Pontificia Universidad Católica de Chile | Translating solitons on solvmanifolds | |
Tea & coffee | ||
Burkhard Wilking , University of Münster | On the $L^\infty$-norm of the curvature operator for positive Einstein metrics | |
Lunch & end of the workshop |