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For Zoom URL please contact Laura Keller

Spring Semester 2026

Date / Time Speaker Title Location
3 March 2026
15:15-16:15 		Cristiana De Filippis
University of Parma
Details

Analysis Seminar

Title Nonlocal Partial Regularity
Speaker, Affiliation Cristiana De Filippis, University of Parma
Date, Time 3 March 2026, 15:15-16:15
Location HG G 43
Abstract The failure of De Giorgi - Nash - Moser theory in the vectorial setting opens to the study of partial regularity, namely smoothness of solutions outside a negligible, singular set. This is a classical phenomenon for systems and harmonic maps. I will discuss recent advances on nonlinear integro-differential systems, with particular emphasis on the structure and size of the singular set. From recent, joint work with Giuseppe Mingione (Parma) and Simon Nowak (Bielefeld).
Nonlocal Partial Regularityread_more
HG G 43
3 March 2026
16:30-17:30 		Dr. Thomas Körber
University of Vienna
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Analysis Seminar

Title The Penrose inequality in extrinsic geometry
Speaker, Affiliation Dr. Thomas Körber , University of Vienna
Date, Time 3 March 2026, 16:30-17:30
Location HG G 43
Abstract Complete embedded minimal surface with integrable Gauss curvature such as the plane and the catenoid are fundamental objects in geometry. In this talk, I will show that the asymptotic slope of such a surface is bounded from below in an optimal way by a systolic quantity called the neck-size. A consequence of this inequality is a new characterization of the catenoid purely in terms of its extrinsic properties. This result confirms a conjecture of G. Huisken and can be viewed as an analog in extrinsic geometry of the Riemannian Penrose inequality in mathematical relativity. The proof is based on an analysis of so-called minimal capillary surfaces, which are compact minimal surfaces that intersect a given complete embedded minimal surface with integrable Gauss curvature at a constant angle. This is joint work with M. Eichmair.
The Penrose inequality in extrinsic geometryread_more
HG G 43
10 March 2026
15:15-16:15 		Carl Johansson
EFPL
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Analysis Seminar

Title Lyapunov exponents and asymptotic mixing in DiPerna-Lions flows
Speaker, Affiliation Carl Johansson, EFPL
Date, Time 10 March 2026, 15:15-16:15
Location HG G 43
Abstract In 2003, A. Bressan proposed a conjecture concerning the mixing efficiency of incompressible flows, which remains open. I will survey progress toward its resolution and present a new result establishing the asymptotic validity of the conjecture for time-periodic velocity fields. This is achieved by adapting tools from smooth ergodic theory, such as Lyapunov exponents, to the non-smooth setting of DiPerna-Lions flows. This is joint work with Elia Brué and Maria Colombo.
Lyapunov exponents and asymptotic mixing in DiPerna-Lions flowsread_more
HG G 43
17 March 2026
15:15-16:15 		Sehyun Ji
University of Chicago
Details

Analysis Seminar

Title Implosion singularity of the inhomogeneous Landau equation with hard potentials
Speaker, Affiliation Sehyun Ji, University of Chicago
Date, Time 17 March 2026, 15:15-16:15
Location HG G 43
Abstract The Landau equation is a fundamental collisional kinetic model arising in plasma physics. In the spatially homogeneous setting, global well-posedness is known, and solutions exhibit strong regularizing effects. This naturally raises the question: can singularities arise due to spatial inhomogeneity? In this talk, I will present a construction of smooth, strictly positive initial data for the inhomogeneous Landau equation with γ \in (\sqrt{3}, 2] that develops a finite-time implosion singularity. Interestingly, the singularity manifests at the hydrodynamic level: macroscopic quantities such as density and temperature blow up, while the L^\infty-norm of the distribution function remains uniformly bounded. Working in self-similar variables, our blow-up profile is asymptotically self-similar (Type II). The distribution function converges to a local Maxwellian, and the associated macroscopic fields approach to a smooth imploding solution of the compressible Euler equations. To our knowledge, this provides the first example of a collisional kinetic equation that is globally well-posed in the homogeneous setting but exhibits finite-time singularity formation for smooth inhomogeneous data. This is joint work with Jacob Bedrossian, Jiajie Chen, Maria Gualdani, Vlad Vicol, and Jincheng Yang.
Implosion singularity of the inhomogeneous Landau equation with hard potentialsread_more
HG G 43
24 March 2026
15:15-16:15 		Dr. Yujie Wu
Universität Potsdam
Details

Analysis Seminar

Title Application of Curvature Comparison Theorems in Minimal Surfaces
Speaker, Affiliation Dr. Yujie Wu, Universität Potsdam
Date, Time 24 March 2026, 15:15-16:15
Location HG G 43
Abstract We use generalized minimal or capillary hypersurfaces to study comparison theorems of certain class of positively curved manifolds (with boundary); this is also called Gromov's μ-bubble method. We apply these results to obtain useful geometric bounds such as Urysohn width, bandwidth estimates, and study rigidity of (free boundary) minimal hypersurfaces.
Application of Curvature Comparison Theorems in Minimal Surfacesread_more
HG G 43
31 March 2026
15:15-16:15 		Prof. Dr. Patricia Alonso Ruiz
Friedrich Schiller University Jena
Details

Analysis Seminar

Title Trying to solve cubic NLS on a fractal? Maybe not by fixed point if you start below Sobolev...
Speaker, Affiliation Prof. Dr. Patricia Alonso Ruiz, Friedrich Schiller University Jena
Date, Time 31 March 2026, 15:15-16:15
Location HG G 43
Abstract Duhamel and the fixed point theorem are often your best allies when solving non-linear PDEs like the cubic non-linear Schrödinger equation (NLS). This PDE has its origins in quantum mechanics, and it plays a prominent role in the modeling of dispersive wave phenomena, as for instance Bose-Einstein condensation. Dispersion is affected by the nature of the underlying geometry of the space it evolves, and in this talk we will address the basic question: Can one solve the cubic NLS modeling dispersion on the Sierpinski gasket? The latter is a common prototype of a compact fractal set. To approach the problem, we will call our allies Duhamel and the fixed point theorem. With a mixture of surprise (?) and perplexity (?) we will realize they are of no help to prove existence of solutions when the initial data has regularity below the threshold for the Sobolev embedding. What a different picture than in the torus or the sphere! Afterwards, if time permits, we will connect this result to (the absence of) Strichartz estimates. In any case, excitement will fill the stage :) Results are part of joint work with Gigliola Staffilani (MIT).
Trying to solve cubic NLS on a fractal? Maybe not by fixed point if you start below Sobolev...read_more
HG G 43
14 April 2026
15:15-16:15 		Prof. Dr. Shohei Nakamura
University of Birmingham
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Shohei Nakamura , University of Birmingham
Date, Time 14 April 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
21 April 2026
15:15-16:15 		Nicolas Marque
Institut Elie Cartan de Lorraine/ Nancy
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Nicolas Marque, Institut Elie Cartan de Lorraine/ Nancy
Date, Time 21 April 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
28 April 2026
15:15-16:15 		Dr. Charlotte Dietze
Laboratoire Jacques-Louis Lions Sorbonne Université
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Charlotte Dietze, Laboratoire Jacques-Louis Lions Sorbonne Université
Date, Time 28 April 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
12 May 2026
15:15-16:15 		Dr. Massimo Sorella
Imperial College London
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Massimo Sorella, Imperial College London
Date, Time 12 May 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
19 May 2026
15:15-16:15 		Prof. Dr. Steve Hofmann
University of Missouri
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Steve Hofmann, University of Missouri
Date, Time 19 May 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
22 May 2026
12:15-13:15 		Dr. Lorenzo Sarnataro
University of Toronto
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Lorenzo Sarnataro, University of Toronto
Date, Time 22 May 2026, 12:15-13:15
Location HG G 43
Title T.B.A.
HG G 43

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