GAFs

GAFs Program Book [0th to 4th, 98 sets of lecture series]

Lecture slides (or notes) at the GAFs

Gregório Pacelli Bessa	Stochastic Half-Space Theorems for minimal and H-surfaces of R^3
Volker Branding	Higher order generalizations of harmonic maps
Simone Cecchini	The positive mass theorem and distance estimates in the spin setting
Sven Hirsch	Spacetime harmonic functions and applications to relativity
Emanuel Indrei	The equilibrium shape of a planar crystal in a convex background
Joshua Jordan	Non-Kähler Calabi-Yau Geometry and Pluriclosed Flow
Tobias König	Constant Q-curvature metrics with a singularity
Dan A. Lee	Introduction to general relativity and the positive mass theorem
Philippe G. LeFloch	Recent advances on Einstein’s constraint equations: asymptotic localization and gravitational singularities
David Lundberg	Jang’s equation and positive mass theorem in the asymptotically hyperboloidal setting
Cong Hung Mai	Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds
Alexis Michelat	Willmore Surfaces: Min-Max and Morse Index
Paul Minter	The Structure of Stable Codimension One Integral Varifolds near Classical Cones of Density 5/2
Niels Martin Møller	Wedge theorems for self-translating and ancient mean curvature flows
Álvaro Pámpano	Boundary Value Problems for the Helfrich Energy
Álvaro Krüger Ramos	Totally umbilic surfaces in hyperbolic 3-manifolds of finite volume
Giorgio Saracco	Full characterization of isoperimetric sets in 2d domains without necks
Alberto Rodríguez-Vázquez	Cohomogeneity one actions in quaternionic hyperbolic spaces
Glen Wheeler	Stability theorems for the curve diffusion and free elastic flows supported on parallel lines in the plane
Rudolf Zeidler	Scalar and mean curvature comparison via the Dirac operator
Xuwen Zhang	Volume-constraint local energy-minimizing sets in a ball
Nicolau Sarquis Aiex	Index estimates for self-shrinking surfaces in R^3
Flávio Almeida Lemos	Second eigenvalue of the CR Yamabe operator
Yakov Berchenko-Kogan	Numerically Computing the Entropy and Index of Mean Curvature Flow Self-Shrinkers
Theodora Bourni	Convex ancient solutions to curve shortening flow
Leonardo Cavenaghi	On the geometry of smooth structures: prescribing scalar curvature with symmetries
Hao Chen	Gluing Karcher-Scherk saddle towers
Jialong Deng	Enlargeable Length-structures, Rigidity, and Scalar Curvatures
Juan Carlos Fernández	A geometric reduction method for semilinear PDEs
Daniel Freese	Screw motion invariant minimal surfaces from gluing helicoids
Han Hong	Capillary surfaces: stability, index and curvature estimates 2
Pei-Ken Hung	Wave equation in 3+1 dimension
Ramiro Lafuente	Einstein manifolds with symmetry
Emilio Lauret	Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups
Yu Li	On the structure of Ricci shrinkers
Chen-Yun Lin	Almost Isometric Embeddings of Riemannian Manifolds with Heat Kernels of the Connection Laplacian
Eduardo Longa	Low index capillary minimal surfaces
Jesse Madnick	A Gromov-Type Compactness Theorem in G2 Geometry
Tommy Murphy	Rigidity and Stability of SUn symmetric spaces
Xuan Hien Nguyen	Mean curvature flow of entire graphs evolving away from the heat flow
Jesse Ratzkin	Compactness in the moduli space of constant Q-curvature metrics on finitely punctured spheres
Artur Saturnino	Capillary surfaces: stability, index and curvature estimates 1
Natasa Sesum	Ancient solutions to geometric flows
Xi Sisi Shen	The Kahler-Ricci flow and holomorphic vector fields
Marko Sobak	p-Harmonic functions on rank-one Lie groups of Iwasawa type
James Stanfield	Positive Hermitian Curvature Flow on complex Lie groups
Wenchuan Tian	On a family of integral operators on the ball
Celso Viana	Volume Preserving Stability and Isoperimetry in Real Projective Spaces
Gaoming Wang	Curvature Estimates for Stable Minimal Triple Junction Surfaces
Ye-Kai Wang	The convex body isoperimetric conjecture in the plane
Yong Wei	Curvature measures and volume preserving curvature flows
Albert Wood	Lagrangian Mean Curvature Flow with Boundary
Haotian Wu	Mean curvature flow of noncompact hypersurfaces with Type-II curvature blowup
Ramazan Yol	Symmetrization Limits of Minimal Surfaces in R^3
Min Chen	Alexandrov-Fenchel type inequalities in the sphere
Otis Chodosh	Some new generic regularity results for minimal surfaces and mean curvature flows
Demetre Kazaras	Mass of asymptotically Euclidean manifolds using spinors and 1-forms
Jesse Madnick	The Jacobi Spectrum of Null-Torsion Holomorphic Curves in the 6-Sphere
Davi Maximo	On the geometry and topology of 3-manifolds with Positive Scalar Curvature
Alberto Roncoroni	Quantitative Studies of Alexadrov’s Theorem
Fabian Rupp	A Li-Yau inequality for the 1-dimensional Willmore energy
Ao Sun	Uniqueness problem in geometric analysis and Lojasiewicz inequality
Lucas Ambrozio	Systolic and diastolic invariants related to minimal surfaces
Jesús Castro	H-Catenoids and H-Catenodoids in H2 x R and the Krust property
Da Rong Cheng	Stability and Morse index of solutions to the Ginzburg-Landau equation
Beomjun Choi	Geometric inequalities and inverse mean curvature flow
Tsz Kiu Aaron Chow	Ricci flow on manifolds with boundary with arbitrary initial metric
Brian Harvie	Singularities of the Inverse Mean Curvature Flow
Han Hong	Index estimates for CMC surfaces in 3-manifolds
Mikhail Karpukhin	Minimal surfaces, harmonic maps and sharp bounds for Laplace eigenvalues
Martin Lesourd	Positive scalar curvature on non-compact manifolds
Yangyang Li	Generic regularity of minimal hypersurfaces in dimension 8
Nicolas Marque	Willmore energy, Willmore immersions, Willmore bubbling
Pablo Mira	Uniqueness of constant mean curvature spheres
Fabio Paradiso	Geometric flows of balanced metrics on almost abelian Lie groups
Romain Petrides	Minimal surfaces and shape optimization in spectral geometry
Sven Pistre	Higher regularity of high-codimensional disk-type surfaces minimising a Finsler area via Cartan functionals
Francesca Salvatore	Closed G2 structures and Laplacian solitons on solvable Lie groups
Artur Saturnino	On the genus and area of constant mean curvature surfaces with bounded index
Daniel Steenebrügge	Analyticity of Critical Points for Generalized Integral Menger Curvature
Daniel Stern	Geometry of the U(1)-Higgs model and the complex Ginzburg–Landau equations
Wei-Bo Su	Construction of Lagrangian translating solitons
Albert Wood	Singularities of Lagrangian Mean Curvature Flow
Jingze Zhu	Symmetry of the translator of mean curvature flow
Reto Buzano	A local singularity analysis for the Ricci flow
Marcos Petrucio Cavalcante	Lower bounds for the stability index of constant mean curvature surfaces
Frederick Fong	Long-time solutions of the Kahler-Ricci flow
Kwok-Kun Kwong	Higher order Wirtinger inequalities, the isoperimetric deficit, and Minkowski-type inequalities
Jaehoon Lee	Minimal surfaces in R^4 like the Lagrangian catenoid
Martin Li	Minimal surfaces in S^3 and B^3
John Ma	Ancient solutions to the curve shortening flow
Jesse Madnick	An Introduction to Holonomy and G2 Geometry
Jose Miguel Manzano	Some constructions of compact surfaces with constant mean curvature in S^2 x R
Alex Mramor	Some partial uniqueness results for self shrinking donuts
Dong-Hwi Seo	A shape optimization problem for the first Steklov-Dirichlet eigenvalue
Yong Wei	Curvature flows of hypersurfaces and geometric inequalities
Chao Xia	Minkowski-Hsiung type formulas, free boundary CMC hypersurfaces and Alexandrov-Fenchel type inequalities in a ball
Eungbeom Yeon	Existence and uniqueness results on capillary minimal surfaces via Weierstrass representation formula