Geometric and functional inequalities and applications

External homepage

mathematical physics analysis of PDEs classical analysis and ODEs differential geometry functional analysis geometric topology spectral theory

Audience:	Researchers in the topic
Seminar series time:	Monday 13:00-15:00 in your time zone, UTC
Organizers:	Anh Do, Joshua Flynn, Nguyen Lam, Guozhen Lu*, Jianxiong Wang
	*contact for this listing

This is a Weekly Online Seminar in the areas of geometric and functional inequalities and closely related areas of partial differential equations, geometric analysis, etc. It is usually held between 9:00-11:00am US Eastern Time on Mondays.

Subscribe: email geometricinequalitiesandpdes@gmail.com or jlflynn@mit.edu.

Announcement emails with Zoom links are sent Sunday evenings US Eastern Time. Each talk has a unique link.

If you do not receive the zoom link for a talk: check spam or contact jlflynn@mit.edu before the talk. Email security can arbitrarily block mass emails.

Upcoming talks

Past talks

Your time			Speaker	Title
Mon	May 19	14:00	Ruoyu Wang	Carleman inequalities for fractional Laplacians
Mon	May 26	14:00	Vlassis Mastrantonis	TBA
Mon	Sep 08	14:00	Gunther Uhlmann	TBA
Mon	Sep 15	14:00	Tobias Colding	TBA
Mon	Sep 22	14:00	Anna Muzzucato	TBA
Mon	Sep 29	14:00	Hong Wang	TBA
Mon	Oct 06	13:00	No Talk	TBA
Mon	Oct 13	13:00	No Talk	TBA
Mon	Oct 20	14:00	Yilin Wang	TBA
Mon	Oct 27	14:00	Guido de Philipps	TBA
Mon	Nov 03	15:00	Lars Olsen	TBA
Mon	Nov 17	15:00	Simon Brendle	TBA
Mon	Nov 24	14:00	No Talk	TBA
Mon	Dec 01	15:00	Natasa Sesum	TBA

Embed this schedule

Your time			Speaker	Title
Mon	May 12	14:00	Van Hoang Nguyen	The stability estimate for sharp Caffarelli-Kohn-Nirenberg inequality for curl-free vector fields.
Mon	May 05	14:00	Huai-Dong Cao	Linear stability and first eigenvalue estimates
Mon	Apr 28	14:00	Marcello Lucia	A mountain pass Theorem with a lack of compactness
Mon	Apr 21	14:00	Alexander Ionescu	On the wave turbulence theory of 2D gravity waves
Mon	Apr 14	14:00	Stefano Nardulli	Interior regularity of area minimizing currents within a $C^{2,\alpha}$-submanifold
Mon	Apr 07	14:00	Irina Holmes Fay	Weak-type inequalities for sparse operators via Bellman functions
Mon	Mar 31	14:00	João Marcos do Ó	Weighted Hardy-Sobolev type inequalities with remainder
Mon	Mar 10	14:00	Giampiero Palatucci	The De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions
Mon	Mar 03	15:00	Robert Seiringer	Lieb—Thirring Inequalities: a density-functional point of view
Mon	Feb 24	15:00	Alexander Kiselev	Suppression of chemotactic blow up by active scalar
Mon	Feb 17	15:00	Serena Dipierro	A strict maximum principle for nonlocal minimal surfaces
Mon	Feb 03	15:00	Hongjie Dong	Recent results on Hopf type lemma
Mon	Jan 27	15:00	Eugenia Malinnikova	Inequalities for Laplace eigenfunction.
Mon	Dec 09	15:00	Raoni Ponciano	Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces
Mon	Nov 18	15:00	Xiangdong Xie	Uniform quasiconformal groups of nilpotent Lie groups
Mon	Nov 11	15:00	Zheng-Chao Han	Asymptotic Behavior and Symmetry of Singular Solutions to Certain Geometric PDEs
Mon	Nov 04	15:00	Camillo De Lellis	Boundary regularity of minimal surfaces
Mon	Oct 21	14:00	Eugenia Malinnikova	TBA
Mon	Oct 14	14:00	Isabel Fernandez	Free Boundary Minimal and CMC Annuli in the Ball
Mon	Oct 07	14:00	Francois Golse	Quantum Wasserstein and Observability
Mon	Sep 30	14:00	Xueying Yu	Some unique continuation results for Schrödinger equations
Mon	Sep 23	14:00	Ovidiu Savin	Non C^1 solutions to the special Lagrangian equation
Mon	Sep 16	13:00	Allan Greenleaf	Partition Optimization: Multilinear Estimates from Linear Bounds
Mon	Sep 09	14:00	Xiumin Du	Weighted refined decoupling and Falconer distance set problem
Mon	May 06	14:00	Jeremy Tyson	Horizontal polar coordinates and H-type stability of step two Carnot groups
Mon	Apr 29	14:00	Xiaodong Wang	Geometric inequalities on asymptotically Poincaré-Einstein manifolds
Mon	Apr 15	14:00	Daniela De Silva	An energy model for harmonic graphs with junctions
Mon	Apr 08	14:00	Alberto Setti	${\bf L^{p}}$-parabolicity of Riemannian manifolds
Mon	Mar 18	14:00	Daniel Tataru	Free boundary problems for Euler type flows
Mon	Mar 04	15:00	Francesco Maggi	Plateau's laws for soap films, the Allen--Cahn equation, and a hierarchy of Plateau-type problems
Mon	Feb 26	15:00	Zhiqin Lu	The Spectrum of Laplacian on forms over open manifolds
Mon	Feb 19	15:00	Debdip Ganguly	Sharp Quantitative stability of Poincar\'e-Sobolev inequality in the hyperbolic space
Mon	Feb 12	15:00	Yifeng Yu	Existence and nonexistence of effective burning velocity under the curvature G-equation model
Mon	Feb 05	15:00	Yannick Sire	Eigenvalue estimates and a conjecture of Yau
Mon	Jan 29	15:00	Yumeng Ou	New improvement to Falconer’s distance set conjecture in higher dimensions
Mon	Jan 22	15:00	Mihaela Ifrim	The small data global well-posedness conjecture for 1D defocusing dispersive flows
Mon	Dec 04	15:00	Malabika Pramanik	Points and distances
Mon	Nov 20	15:00	Wilhelm Schlag	On continuous time bubbling for the harmonic map heat flow in two dimensions
Mon	Oct 23	14:00	Lei Ni	Complex Monge-Ampère equations, Grauert tube and estimate of Betti numbers
Mon	Oct 09	14:00	Lu Wang	A mean curvature flow approach to density of minimal cones
Mon	Oct 02	14:00	Hong Wang	Furstenberg sets estimate in the plane
Mon	Sep 25	15:10	Irene Fonseca	From Phase Separation in Heterogeneous Media to Learning Training Schemes for Image Denoising
Mon	Sep 18	14:00	Donatella Danielli	Obstacle problems for fractional powers of the Laplacian
Mon	Sep 11	14:00	Leonard Gross	Invariance of intrinsic hypercontractivity under perturbation of Schrodinger operators.
Mon	May 08	14:00	Silvia Cingolani	On the planar Schrödinger-Newton system
Mon	May 01	14:00	Jie Qing	Potential theory in conformal geometry
Mon	Apr 24	14:00	María del Mar González	Spectral properties of Levy Fokker-Planck equations
Mon	Apr 17	14:00	Luca Capogna	The Neumann problem and the fractional p-Laplacian in measure metric spaces
Mon	Apr 10	14:00	Pierre-Damien Thizy	Large blow-up sets for Q-curvature equations.
Mon	Mar 27	13:00	No Talk	TBA
Mon	Mar 20	14:00	Rowan Killip	From Optics to the Deift Conjecture
Mon	Mar 13	13:00	No Talk (Spring Break)	TBA
Mon	Mar 06	15:00	Benjamin Schlein	Gross-Pitaevskii and Bogoliubov theory for trapped Bose-Einstein condensates.
Mon	Feb 27	15:00	Walter Strauss	Instability of Water Waves (even small ones)
Mon	Feb 20	15:00	Monica Visan	The derivative nonlinear Schrodinger equation
Mon	Feb 13	15:00	Michael Roysdon	Intersection Functions
Mon	Jan 30	15:00	Wenchuan Tian	On a family of integral operators on the ball
Mon	Jan 23	15:00	Deping Ye	The $L_p$ surface area measure and related Minkowski problem for log-concave functions
Mon	Nov 21	15:00	Alessio Falocchi	Some results on the 3D Stokes eigenvalue problem under Navier boundary conditions
Mon	Nov 14	15:00	Philipp Reiter	Elasticity models with self-contact
Mon	Nov 07	15:00	Xiaolong Han	Fractal uncertainty principle for discrete Fourier transform and random Cantor sets
Mon	Oct 31	14:00	Alexandru Kristaly	Lord Rayleigh’s conjecture for clamped plates in curved spaces
Mon	Oct 24	14:00	Joshua Flynn	Sharp Uncertainty Principles for Physical Vector Fields and Second Order Derivatives
Mon	Oct 17	14:00	Jianxiong Wang	Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces
Mon	Oct 10	14:00	Tobias König	Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions
Mon	Oct 03	14:00	Mimi Dai	Navier-Stokes equation: determining wavenumber, Kolmogorov’s dissipation number, and Kraichnan’s number
Mon	Sep 19	14:00	Bianca Stroffolini	Taylor formula and regularity properties for degenerate Kolmogorov equations with Dini continuous coefficients
Mon	May 23	14:00	Galia Dafni	Locally uniform domains and extension of nonhomogeneous BMO spaces
Mon	May 16	14:00	Fritz Gesztesy	Continuity properties of the spectral shift function for massless Dirac operators and an application to the Witten index
Mon	May 09	13:00	Andrea Mondino	Optimal transport and quantitative geometric inequalities
Mon	May 02	14:00	Pei-Yong Wang	A Bifurcation Phenomenon Of The Perturbed Two-Phase Transition Problem
Mon	Apr 25	13:00	Alina Stancu	On the fundamental gap of convex sets in hyperbolic space
Mon	Apr 18	14:00	Jiaping Wang	Spectrum of complete manifolds
Mon	Apr 11	13:00	Eric Carlen	Some trace inequalities related to quantum entropy
Mon	Apr 04	13:00	Michael Loss	Which magnetic fields support a zero mode?
Mon	Mar 28	13:00	Carolyn Gordon	Inverse spectral problems on compact Riemannian orbifolds
Mon	Mar 07	14:00	Jérôme Vétois	Stability and instability results for sign-changing solutions to second-order critical elliptic equations
Mon	Feb 28	14:00	Enno Lenzmann	Symmetry and symmetry-breaking for solutions of PDEs via Fourier methods
Mon	Feb 21	14:00	Xiaodan Zhou	Quasiconvex envelope in the Heisenberg group
Mon	Feb 14	15:00	Jian Song	Positivity conditions for complex Hessian equations
Mon	Feb 07	15:00	Paul Yang	Sturm comparison for Jacobi vector fields and applications
Mon	Jan 31	14:00	Vitali Kapovitch	Mixed curvature almost flat manifolds
Mon	Jan 24	15:00	Luis Vega	New Conservation Laws and Energy Cascade for 1d Cubic NLS
Mon	Dec 20	15:00	Robert McCann	Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary
Mon	Dec 13	15:00	Linhan Li	Comparison between the Green function and smooth distances
Mon	Dec 06	15:00	Qing Han	A Concise Boundary Regularity for the Loewner-Nirenberg Problem
Mon	Nov 29	14:00	Juan Manfredi	NATURAL $p$-MEANS FOR THE $p$-LAPLACIAN IN EUCLIDEAN SPACE AND THE HEISENBERG GROUP
Mon	Nov 22	14:00	Jyotshana Prajapat	Geodetically convex sets in Heisenberg group $H^n$
Mon	Nov 08	15:00	Eric Chen	Integral curvature pinching and sphere theorems via the Ricci flow
Mon	Nov 01	14:00	Guofang Wang	Geometric inequalities in the hyperbolic space and their applications.
Mon	Oct 25	14:00	Stefan Steinerberger	Mean-Value Inequalities for Convex Domains
Mon	Oct 11	13:00	Gabriele Grillo	Nonlinear characterizations of stochastic completeness
Mon	Oct 04	13:00	Sundaram Thangavelu	On the extension problem for the sublaplacian on the Heisenberg group
Mon	Sep 27	13:00	Yoshikazu Giga	On the Helmholtz decomposition of BMO spaces of vector fields
Mon	Sep 20	14:00	Jill Pipher	Boundary value problems for p-elliptic operators
Mon	Sep 13	14:00	Luis Silvestre	Regularity estimates for the Boltzmann equation without cutoff
Mon	Jul 05	13:00	Lorenzo D'Ambrosio	Liouville theorems for semilinear biharmonic equations and inequalities
Mon	Jun 28	13:00	Susanna Terracini	Free boundaries in segregation problems
Mon	Jun 21	13:00	Roger Moser	The infinity-elastica problem
Mon	Jun 14	14:00	Svitlana Mayboroda	Green Function vs. Geometry
Mon	Jun 07	14:00	Sun-Yung Alice Chang	On bi-Lipschitz equivalence of a class of non-conformally flat spheres
Mon	May 31	14:00	No Talk (Memorial Day)	TBA
Mon	May 24	13:00	Xiaojun Huang	Revisit to a non-degeneracy property for extremal mappings
Mon	May 17	14:00	No talk	TBA
Mon	May 10	14:00	Michael Struwe	Normalized harmonic map flow
Mon	May 03	14:00	Jungang Li	Sharp critical and subcritical Moser-Trudinger inequalities on complete and noncompact Riemannian manifolds
Mon	Apr 26	14:00	Carlos Kenig	Wave maps into the sphere
Mon	Apr 19	13:00	Yanyan Li	Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space
Mon	Apr 12	13:00	Spring Recess (No Talk)	TBA
Mon	Apr 05	14:00	Jingzhi Tie	CR analogue of Yau’s Conjecture on pseudo harmonic functions of polynomial growth.
Mon	Mar 29	13:00	Brian Street	Maximal Hypoellipticity
Mon	Mar 22	14:00	Wenxiong Chen	Asymptotic radial symmetry, monotonicity, non-existence for solutions to fractional parabolic equations
Mon	Mar 15	14:00	Man Wah Wong	Spectral Theory and Number Theory of the Twisted Bi-Laplacian
Mon	Mar 08	14:00	Enrique Zuazua	UNILATERAL BOUNDS FOR NONLINEAR SEMIGROUPS AND TIME-INVERSION
Mon	Mar 01	14:00	Manuel Del Pino	Dynamics of concentrated vorticities in 2d and 3d Euler flows
Mon	Feb 22	14:00	Saikat Mazumdar	EXISTENCE RESULTS FOR THE HIGHER-ORDER $Q$-CURVATURE EQUATION
Mon	Feb 15	14:00	Yehuda Pinchover	On families of optimal Hardy-weights for linear second-order elliptic operators.
Mon	Feb 08	14:00	Martin Dindos	On p-ellipticity and connections to solvability of elliptic complex valued PDEs
Mon	Feb 01	14:00	Yunfeng Zhang	Schr\"odinger equations on compact globally symmetric spaces
Mon	Jan 25	15:00	Zhen-Qing Chen	Stability of Elliptic Harnack Inequality
Mon	Jan 18	14:00	Matthew Gursky	Extremal Eigenvalues of the conformal laplacian
Mon	Jan 11	14:00	Gilles Carron	Euclidean heat kernel rigidity
Mon	Dec 14	15:00	Betsy Stovall	Fourier restriction to degenerate hypersurfaces
Mon	Dec 14	14:00	Almut Burchard	Rearrangement inequalities on spaces of bounded mean oscillation
Mon	Dec 07	14:00	Giovanna Citti	Degree preserving variational formulas for submanifolds
Mon	Nov 30	14:00	Annalisa Baldi	Poincaré and Sobolev inequalities for differential forms in Euclidean spaces and Heisenberg groups
Mon	Nov 16	14:00	Emmanuel Hebey	Schrödinger-Proca constructions in the closed setting
Mon	Nov 09	14:00	David Jerison	Rescheduled to Spring Semester 2021
Mon	Nov 09	14:00	Ling Xiao	Entire spacelike constant $\sigma_{n-1}$ curvature in Minkowski space
Mon	Nov 02	15:00	Joshua Flynn	Sharp Caffarelli-Kohn-Nirenberg Inequalities for Grushin Vector Fields and Iwasawa Groups.
Mon	Oct 26	14:00	William Minicozzi	Mean curvature flow in high codimension
Mon	Oct 19	14:00	Jiuyi Zhu	The bounds of nodal sets of eigenfunctions
Mon	Oct 12	13:00	Cristian Cazacu	Optimal constants in Hardy and Hardy-Rellich type inequalities
Mon	Oct 05	14:00	Laurent Saloff-Coste	Heat kernel on manifolds with finitely many ends
Mon	Sep 28	13:00	Jungang Li	Higher order Brezis-Nirenberg problems on hyperbolic spaces
Mon	Sep 21	13:00	Phan Thành Nam	Lieb-Thirring inequality with optimal constant and gradient error term
Mon	Sep 14	13:00	Jean Dolbeault	Stability in Gagliardo-Nirenberg inequalities
Mon	Sep 07	13:00	Yi Wang	Rigidity of local minimizers of the $\sigma_k$ functional
Mon	Aug 31	14:00	Pengfei Guan	A mean curvature type flow and isoperimetric problem in warped product spaces
Mon	Aug 24	14:30	Rupert Frank	REVERSE HARDY–LITTLEWOOD–SOBOLEV INEQUALITIES
Mon	Aug 17	14:00	Juncheng Wei	Rigidity Results for Allen-Cahn Equation
Mon	Aug 10	14:00	Fengbo Hang	Concentration compactness principle in critical dimensions revisited
Mon	Aug 03	14:00	Dongmeng Xi	An isoperimetric type inequality via a modified Steiner symmetrization scheme
Mon	Aug 03	13:00	Yiming Zhao	Reconstruction of convex bodies via Gauss map
Mon	Jul 27	13:00	Xavier Cabre	Stable solutions to semilinear elliptic equations are smooth up to dimension 9
Mon	Jul 20	14:00	Andrea Malchiodi	On the Sobolev quotient in sub-Riemannian geometry
Mon	Jul 20	13:00	William Beckner	Symmetry in Fourier Analysis – Heisenberg to Stein-Weiss

Embed this schedule

Export series to