Analysis seminar

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Autumn Semester 2026

Date / Time Speaker Title Location
22 September 2026
15:15-16:15
Dr. Noah Stevenson
ETH Zurich, Switzerland
Details

Analysis Seminar

Title Smooth and swirling steady vortex rings near the Hill - Norbury Family
Speaker, Affiliation Dr. Noah Stevenson, ETH Zurich, Switzerland
Date, Time 22 September 2026, 15:15-16:15
Location HG G 43
Abstract Hill's spherical vortex is a classical explicit solution to the three-dimensional Euler equations. It is an axisymmetric and swirl-free traveling wave with compactly supported yet discontinuous vorticity. In this talk we will explore the space of nearby traveling-wave Euler solutions and, in particular, prove that Hill's vortex is the limit of traveling vortex rings that are smooth to infinite order. Along the way, we shall unveil certain pathological aspects of this space of steady solutions that emerge once swirl is admitted. This is joint work with Răzvan Radu.
Smooth and swirling steady vortex rings near the Hill - Norbury Familyread_more
HG G 43
6 October 2026
15:15-16:15
Dr. Hedong Hou
ETH Zurich, Switzerland
Details

Analysis Seminar

Title Non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations
Speaker, Affiliation Dr. Hedong Hou, ETH Zurich, Switzerland
Date, Time 6 October 2026, 15:15-16:15
Location HG G 43
Abstract In this talk, I will present that the unconditional uniqueness of mild solutions to the Navier-Stokes equations fails in all the Besov spaces with negative regularity index, by constructing non-trivial stationary singular solutions via convex integration. To the best of our knowledge, this is the first non-uniqueness result in subcritical solution classes. Similar results also hold for the fractional Navier-Stokes equations with arbitrarily large power of the Laplacian, even in certain subcritical Lebesgue spaces. This talk is based on a joint work with Alexey Cheskidov.
Non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equationsread_more
HG G 43
20 October 2026
15:15-16:15
Francesco Malizia
SNS Pisa
Details

Analysis Seminar

Title The Weyl energy and connected sums of four-manifolds
Speaker, Affiliation Francesco Malizia, SNS Pisa
Date, Time 20 October 2026, 15:15-16:15
Location HG G 43
Abstract The Weyl energy on four-manifolds is a quadratic curvature functional related to the Chern-Gauss-Bonnet formula. It is conformally invariant, and its critical points are called Bach-flat metrics and provide an interesting generalization of Einstein metrics or self-dual and anti-self-dual metrics. We will show that, under suitable conditions, it is possible to decrease the total Weyl energy under connected sum between two manifolds. These gluing results might be particularly useful for understanding the compactness properties of minimizing sequences of metrics. This is based on a joint project with Andrea Malchiodi.
The Weyl energy and connected sums of four-manifoldsread_more
HG G 43
27 October 2026
15:15-16:15
Dr. Doug Stryker
ETH
Details

Analysis Seminar

Title Stable 2-systole bounds in positive scalar curvature
Speaker, Affiliation Dr. Doug Stryker, ETH
Date, Time 27 October 2026, 15:15-16:15
Location HG G 43
Abstract It is expected that positive scalar curvature enforces smallness in at least two dimensions. In this spirit, I will present a bound for the stable 2-systole of closed manifolds under necessary topological assumptions in positive scalar curvature. The proof uses the index theory for twisted spinor bundles due to Gromov and Lawson.
Stable 2-systole bounds in positive scalar curvatureread_more
HG G 43
3 November 2026
15:15-16:15
Leon Winter
UCLouvain, Belgio
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Leon Winter, UCLouvain, Belgio
Date, Time 3 November 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
10 November 2026
15:15-16:15
Dr. Dorian Martino
ETH Zurich, Switzerland
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Dorian Martino, ETH Zurich, Switzerland
Date, Time 10 November 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
17 November 2026
15:15-16:15
Prof. Dr. Katarzyna Mazowiecka
University of Warsaw
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Katarzyna Mazowiecka, University of Warsaw
Date, Time 17 November 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
24 November 2026
15:15-16:15
Alexander West
Bonn/ETH
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Alexander West, Bonn/ETH
Date, Time 24 November 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
1 December 2026
15:15-16:15
Dr. Daniel Boutros
IAS
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Daniel Boutros, IAS
Date, Time 1 December 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
8 December 2026
15:15-16:15
Dominik Schlagenhauf
ETH
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dominik Schlagenhauf, ETH
Date, Time 8 December 2026, 15:15-16:15
Location HG G 43
Title T.B.A.
HG G 43
15 December 2026
15:15-16:15
Dr. Matilde Gianocca
University of Chicago
Details

Analysis Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Matilde Gianocca, University of Chicago
Date, Time 15 December 2026, 15:15-16:15
Location
Title T.B.A.

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