Department of Mathematics

Search

Analysis seminar

×

Modal title

Modal content

For Zoom URL please contact Laura Keller

Spring Semester 2025

Date / Time Speaker Title Location
18 February 2025
15:15-16:15 		Dr. Marco Badran
ETH Zurich, Switzerland
Details

Analysis Seminar

Title Harmonic maps to the circle with higher dimensional singular set
Speaker, Affiliation Dr. Marco Badran, ETH Zurich, Switzerland
Date, Time 18 February 2025, 15:15-16:15
Location HG G 43
Abstract We consider the problem of finding harmonic maps to the circle with a prescribed singular set in an arbitrary Riemannian manifold and characterise their uniqueness in terms of the "one-dimensional topology" of the ambient space. We then show how these maps can be used to define new notions of (n-2)-volume, leading to a promising approximation scheme for classical codimension 2 minimal surfaces.
Harmonic maps to the circle with higher dimensional singular setread_more
HG G 43
25 February 2025
15:15-16:15 		Dr. Shrish Parmeshwar
CY Cergy Paris Université
Details

Analysis Seminar

Title Global-in-time Vortex Configurations for the 2D Euler Equations
Speaker, Affiliation Dr. Shrish Parmeshwar, CY Cergy Paris Université
Date, Time 25 February 2025, 15:15-16:15
Location HG G 43
Abstract A long-standing topic of interest is to understand the desingularization problem in vortex dynamics for the incompressible 2D Euler equations: solutions of the system that approximate point vortices in the sense that the vorticity of the solution stays highly concentrated around a finite number of points on some interval of time. There are a large class of steady states that satisfy this behaviour, and also solutions that exhibit this behaviour dynamically on finite time intervals. We exhibit a solution of 2D Euler that is genuinely dynamic, and also retains this concentration of vorticity around points for all time: a configuration approximating two vortex pairs separating at a linear rate.
Global-in-time Vortex Configurations for the 2D Euler Equationsread_more
HG G 43
4 March 2025
15:15-16:15 		Dr. Mitchell Taylor
ETH Zurich, Switzerland
Details

Analysis Seminar

Title Stable phase retrieval in function spaces
Speaker, Affiliation Dr. Mitchell Taylor, ETH Zurich, Switzerland
Date, Time 4 March 2025, 15:15-16:15
Location HG G 43
Abstract A subspace $E \subset L2(\mu)$ is said to do stable phase retrieval (SPR) if there exists a constant $C \geq 1$ such that for any $f,g \in E$ we have $\inf_{|| \lambda || =1} || f- \lambda g || \leq C || |f| - |g| ||$ In this case, if |f| is known, then f is uniquely determined up to an unavoidable global phase factor $\lambda$ moreover, the phase recovery map is C-Lipschitz. Phase retrieval appears in several applied circumstances, ranging from crystallography to quantum mechanics. In this talk, I will present some elementary examples of subspaces of L2(µ) which do stable phase retrieval and discuss the structure of this class of subspaces. The material in this talk is based on joint work with M. Christ and B. Pineau as well as with D. Freeman, T. Oikhberg and B. Pineau.
Stable phase retrieval in function spacesread_more
HG G 43
11 March 2025
15:15-16:15 		Marco Inversi
Universität Basel
Details

Analysis Seminar

Title On the dissipation regularity for incompressible Euler
Speaker, Affiliation Marco Inversi , Universität Basel
Date, Time 11 March 2025, 15:15-16:15
Location HG G 43
Abstract The study of turbulent phenomena is related to the mathematical analysis of weak solutions to the incompressible Euler equations with non-trivial dissipation measure. In 1949 Lars Onsager predicted the maximal regularity compatible with a non-trivial dissipation measure for Euler solutions. In this talk, we discuss some refined properties of the dissipation measure in the critical and supercritical regimes, according to the Onsager conjecture. In particular, we focus on the improved regularity of the dissipation in negative Besov spaces for non-conservative Euler solutions, laying down a connection between accumulation of the dissipation on lower dimensional sets and intermittency for incompressible Euler.
On the dissipation regularity for incompressible Eulerread_more
HG G 43
18 March 2025
15:15-16:15 		Dr. Ahmed Bou-Rabee
Courant Institute
Details

Analysis Seminar

Title Homogenization with critical disorder
Speaker, Affiliation Dr. Ahmed Bou-Rabee, Courant Institute
Date, Time 18 March 2025, 15:15-16:15
Location HG G 43
Abstract Homogenization is the approximation of a complex, “disordered” system by a simpler, “ordered” one. A natural example is random walk on a grid. Simple random walk on large scales approximates a Brownian motion. But what if some edges are more likely to be traversed than others? I will discuss recent advances in the theory of quantitative homogenization which make it possible to analyze the random walk with drift and other models in statistical physics. Joint work with Scott Armstrong and Tuomo Kuusi.
Homogenization with critical disorderread_more
HG G 43
25 March 2025
15:15-16:15 		Prof. Dr. Jill Pipher
Brown University
Details

Analysis Seminar

Title A parabolic Regularity problem: nontangential estimates on the gradient of solutions
Speaker, Affiliation Prof. Dr. Jill Pipher, Brown University
Date, Time 25 March 2025, 15:15-16:15
Location HG G 43
Abstract In recent joint work with M. Dindos and L. Li, we show that the Regularity problem for a second order divergence form parabolic operator is solvable when the data belongs to an appropriate L^p space. The parabolic operator has coefficients that vary in both space and time, and satisfy a certain minimal smoothness assumption defined by a Carleson measure condition - one that has been well-studied for the elliptic analog of these equations. The long term goal, of which this is a step, is to bring the parabolic theory to the level of understanding that has now been achieved for elliptic boundary value problems and beyond, to free boundary problems.  
A parabolic Regularity problem: nontangential estimates on the gradient of solutionsread_more
HG G 43
1 April 2025
15:15-16:15 		Dr. Anna Skorobogatova
ETH Zurich, ITS
Details

Analysis Seminar

Title Regularity for semilinear variational problems with a topological constraint
Speaker, Affiliation Dr. Anna Skorobogatova, ETH Zurich, ITS
Date, Time 1 April 2025, 15:15-16:15
Location HG G 43
Abstract I will discuss the regularity of solutions to a class of semilinear free boundary problems in which admissible functions have a topological constraint, or spanning condition, on their 1-level set. This constraint forces the 1-level set, which is a free boundary, to behave like a surface with singularities, attached to a fixed boundary frame, in the spirit of the set-theoretic Plateau problem. Two such free boundary problems that have been well-studied are the minimization of capacity among surfaces sharing a common boundary and an Allen-Cahn approximation of the set-theoretic Plateau problem. We establish optimal Lipschitz regularity for solutions, and analytic regularity for the free boundaries away from a codimension two singular set. We further characterize the singularity models for these problems as conical critical points of the minimal capacity problem, which are closely related to spectral optimal partition and segregation problems. This is joint work with Mike Novack and Daniel Restrepo.
Regularity for semilinear variational problems with a topological constraintread_more
HG G 43
8 April 2025
15:15-16:15 		Prof. Dr. Antoine Gloria
Sorbonne
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Antoine Gloria, Sorbonne
Date, Time 8 April 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
15 April 2025
15:15-16:15 		Dr. Dominique Maldague
University of Cambridge
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Dominique Maldague , University of Cambridge
Date, Time 15 April 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
29 April 2025
15:15-16:15 		Gianmarco Caldini
University of Trento
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Gianmarco Caldini , University of Trento
Date, Time 29 April 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
6 May 2025
15:15-16:15 		Prof. Dr. Frédéric Hélein
Université Paris Diderot
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Frédéric Hélein, Université Paris Diderot
Date, Time 6 May 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
13 May 2025
15:15-16:15 		Dr. Alexis Michelat
EPFL
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Alexis Michelat, EPFL
Date, Time 13 May 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
20 May 2025
15:15-16:15 		Prof. Dr. Irene De Blasi
University of Turin
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Irene De Blasi , University of Turin
Date, Time 20 May 2025, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43

Notes: the highlighted event marks the next occurring event and if you want you can subscribe to the iCal/ics Calender.

Archive: SS 26 AS 25 SS 25 AS 24 SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09