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Workshop [Moved Online] Hot Topics: Topological Insights in Neuroscience
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- Lida Kanari: Topological insights on neuronal morphologies
- Woojin Kim: The Persistent Topology of Dynamic Data
- Xaq Pitkow: Discovering implicit computation graphs in nonlinear brain dynamics
- Tatyana Sharpee: Hyperbolic geometry in biological networks
- Dane Taylor: Geometrical and topological data analyses reveal that higher-order structures provide flow channels for neuronal avalanches
- Jose Perea: Topological analysis of quasiperiodic signals
- Bei Wang: Topological Data Analysis of Functional Brain Connectivity in Time and Space Domains
- Matilde Marcolli: Homotopy Theoretic and Categorical Models of Neural Information Networks
- Hengrui Luo: Combining Geometric and Topological Information for Boundary Estimation
- Konstantin Mischaikow: Identifying dynamics of networks
- Daniela Egas Santander: Nerve theorems for fixed points of neural networks
- Martina Scolamiero: Extracting topological features from multiple measurements
- Iris Yoon: Identifying analogous topological features across multiple systems
- Vladimir Itskov: Decoding geometry and topology of neural representations
- Alice Patania: Topological Characterization for Multi-Variate Pattern Analysis
- Henri Riihimäki: Simplicial connectivities of directed networks and higher paths
- Katharine Turner: Wasserstein stability for persistence diagrams
- Ezra Miller: Persistent homology in one or more parameters
- Steven Ellis: Using "Concurrence Topology'' to Detect Statistical (In)dependence Among Items of the Hamilton Depression Rating Scale
- Ann Blevins: Topological cavities in the human connectome
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Workshop [Moved Online] Recent Developments in Fluid Dynamics
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- Welcome
- Jean Marc Delort: Gravity capillary wave equations on the circle, normal forms and long time existence: a review
- Herbert Koch: The KdV hierarchy at H^{-1} regularity
- Pierre Raphael: On the implosion of a viscous compressible fluid
- Thierry Gallay: Arnold's variational principle and its application to the stability of viscous planar vortices
- Didier Bresch: Heterogeneities in fluid mechanics
- Frederic Rousset: Incompressible limit for the free surface Navier-Stokes system
- Juhi Jang: Dynamics of Newtonian stars
- Albert Ai: Two dimensional gravity water waves at low regularity
- Luis Vega: Riemann's non-differentiable function and the binormal curvature flow
- Peter Constantin: On the Nernst-Planck-Navier-Stokes System
- Nicolas Burq: Analytic Solutions For The Water-Waves System
- Sijue Wu: The quartic integrability and long time existence of steep water waves in 2d
- Erik Wahlén: Three-dimensional steady water waves with vorticity
- John Hunter: Wave propagation on vorticity discontinuities and the Burgers-Hilbert equation
- Irena Lasiecka: Long time behavior in a flow-structure interaction
- Anne-Laure Dalibard: Separation and Circulation in the Stationary Prandtl Equation
- Tristan Buckmaster: Stable shock wave formation for the compressible Euler equations
- Charlotte Perrin: Handling congestion in fluid equations
- Benoit Pausader: Long time existence for the Euler-Coriolis system
- Camillo De Lellis: Locally dissipative solutions of the Euler equations
- Mihaela Ignatova: Global regularity and long time behavior of solutions of electroconvection models
- Nader Masmoudi: Recent Progress in the Study of the Prandtl System and the Zero Viscosity Limit
- Jacob Bedrossian: Vortex filament solutions of the 3D Navier-Stokes equations
- Paul Milewski: Mode Two Solitary Waves in Stratified Flows
- Valeria Banica: Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow
- Franck Sueur: Motion of several slender rigid filaments in a Stokes flow
- Emmanuel Dormy: Modeling inviscid water waves
- Terence Tao: Universality and possible blowup in fluid equations
- Pierre Germain: Vortex filament solutions for the Navier-Stokes equations
- Vladimir Sverak: On spectra of certain linearized operators
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Seminar Fellowship of the Ring, National Seminar: How short can a module of finite projective dimension be?
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Seminar Fellowship of the Ring, National Seminar: Sums of Squares: From Real to Commutative Algebra
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