Dang
Dang
HU Berlin
Koszul duality in twisted QFTs
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16. December
Tue W50
Gaëtan
Borot
HU Berlin
Panorama of matrix models and topological recursion III
Abstract.
This is crash course which aims at explaning various aspects of: random matrix ensembles and Coulomb gases, loop equations, spectral curves, topological recursion, maps, free probability, how they fit together and pose some open problems.
17. December
Wed W50
Cesare
Miglioli
University of Pittsburgh
Incomplete U-Statistics of Equireplicate Designs: Berry-Esseen Bound and Efficient Construction.
Abstract.
U-statistics are fundamental estimators that generalize the sample mean. Key challenges include high computational cost (partly addressed via incomplete U-statistics) and non-standard asymptotics in the degenerate case. We propose a perspective grounded in hypergraph theory and combinatorial designs, bypassing Hoeffding decomposition. By characterizing the dependence structure, we derive a new Berry–Esseen bound applying to incomplete U-statistics based on deterministic designs, yielding conditions for Gaussian limits even in degenerate and diverging-order cases. We introduce efficient algorithms to construct incomplete U-statistics of equireplicate designs that can achieve minimum variance in certain cases. Application to kernel-based testing yields a permutation-free MMD test with substantial computational gains and valid inference.
Sebastian
Hensel
Universität Leipzig
A weak-strong uniqueness principle for the Mullins--Sekerka equation
Abstract
Willem
van Zuijlen
WIAS Berlin
Willem
van Zuijen
WIAS Berlin
Felix
Höfer
U Princeton
18. December
Thu W50
Martin
Skutella
TU Berlin
Integer Multiflows and Cut Conditions
Abstract.
For directed graphs with arc capacities, Nagamochi and Ibaraki (1989) showed that if the cut condition guarantees the existence of a fractional multiflow, and this implication holds in a certain hereditary way, then the cut condition also guarantees the existence of an integer multiflow. Motivated by our recent results with Mohammed Majthoub Almoghrabi and Philipp Warode on integer and unsplittable multiflows in series-parallel digraphs, we discuss a hierarchy of cut conditions and a somewhat refined version of the Nagamochi-Ibaraki Theorem.
Felix
Höfer
University of Princeton
Martin
Keller-Ressel
Technische Universität Dresden
06. January
Tue W01
Gaëtan
Borot
HU Berlin
Panorama of matrix models and topological recursion III
Abstract.
This is crash course which aims at explaning various aspects of: random matrix ensembles and Coulomb gases, loop equations, spectral curves, topological recursion, maps, free probability, how they fit together and pose some open problems.
07. January
Wed W01
Frank
Konietschke
Charité
George
Hitching
OSLOMET
Secant loci of scrolls over curves
Abstract.
The secant loci associated to a linear system \(l\) over a curve C parametrise effective divisors which impose fewer conditions than expected on \(l\). For a rank \(r\) bundle \(E\) and a space of global sections of \(E\), we define and investigate generalised secant loci, which are determinantal loci on Quot schemes of torsion quotients of \(E\). We extend the Abel-Jacobi map to the context of Quot schemes, and examine the relation between smoothness of generalised secant loci and their associated Brill-Noether loci. In one case, we indicate how formulas of Oprea-Pandharipande and Stark can be used to enumerate the generalised secant locus when it has and attains expected dimension zero.
André
Erhardt
WIAS
Nonlinear dynamics of complex biophysical processes
13. January
Tue W02
Piotr
Sulkowski
University of Warsaw
Konstantin
Viol
HU Berlin
14. January
Wed W02
Frank
Konietschke
Charité
Marcel
Ortgiese
University of Bath
André
Erhardt
WIAS
Matthew
Konefal
Loughborough, UK
Marcel
Ortgiese
U Bath
Mikhail
Gorsky
Jean Monnet University
15. January
Thu W02
Francesca
Primavera
University of California
16. January
Fri W02
Daan
Janssen
University of York
20. January
Tue W03
Burkhard
Eden
HU Berlin
Falk
Hante
HU Berlin
Stabilizing PDE Control: Optimization and Feedback in Moving Horizons
21. January
Wed W03
Ulrike
Schneider
Universität Wien
Yannic
Steenbeck
TU Braunschweig
Olaf
Klein
WIAS
Uncertainty quantification for a model for a magnetostrictive material involving a hysteresis operator
Jan Moritz
Petschick
Uni Bielefeld
22. January
Thu W03
Raphael
Kuess
HU Berlin
23. January
Fri W03
Malte
Leimbach
MPI Bonn
Janina
Bernardy
MPI Bonn
27. January
Tue W04
Maciej
Dolega
Institute of Mathematics, Polish Academy of Sciences
28. January
Wed W04
Jakob
Runge
Uni Potsdam
Anastasija
Pešić
WIAS
Curvature-driven pattern formation in biomembranes: A gradient flow approach
Rüdiger
Frey
WU Vienna
Andrew
Allen
U Durham
29. January
Thu W04
Xiaofei
Sei
University of Toronto
Claudio
Dappiaggi
University of Pavia
Equivalence between local and global Hadamard States with Robin boundary conditions on half-Minkowski spacetime
Abstract.
We construct the fundamental solutions and Hadamard states for a Klein-Gordon field in half-Minkowski spacetime with Robin boundary conditions in arbitrary dimensions using a generalisation of the Robin-to-Dirichlet map. On the one hand this allows us to prove the uniqueness and support properties of the Green operators. On the other hand, we obtain a local representation for the Hadamard parametrix that provides the correct local definition of Hadamard states, capturing `reflected' singularities from the spacetime timelike boundary. This allows us to prove the equivalence of our local Hadamard condition and the global Hadamard condition with a wave-front set described in terms of generalized broken bicharacteristics, obtaining a Radzikowski-like theorem in half-Minkowski spacetime. Joint work with B. Costeri, R. D. Singh and B. Juárez-Aubry -- ArXiv: 2509.26035 [math-ph].
Alessandro
Bondi
École Polytechnique Paris
30. January
Fri W04
Beatrice
Costeri
University of Pavia
Alexei
Skorobogatov
Imperial College London
10. February
Tue W06
Andrea
Brini
Sheffield University
11. February
Wed W06
Ho
Yun
EPFL
Linear Monge is All You Need
Abstract.
We explore the geometry of the Bures-Wasserstein space for potentially degenerate Gaussian measures on a separable Hilbert space, based on recent joint work with Yoav Zemel. Using elementary linear operator theory, we derive explicit results without Kantorovich duality or Otto’s calculus. We provide a complete characterisation of both the Monge and Kantorovich problems in this context, regardless of degeneracy. We also show a simple way to construct all Wasserstein geodesics connecting two Gaussian measures and generalise to characterise Wasserstein barycenters of Gaussian measures, borrowing the idea of Procrustes distance from statistical shape analysis.
Béatrice
Matteo
University of Geneva
Kernel ridge regression for spherical responses
Abstract.
We propose a nonlinear regression framework for responses on a hypersphere. Instead of tangent space regression (lifting all sphere responses to a single tangent space), we estimate conditional Fréchet means by minimizing squared distances on the manifold, with the tangent space serving as a linear predictor space for the regression function. Integrating Riemannian geometry with functional data analysis via vector-valued RKHS theory, the framework reduces the infinite-dimensional estimation problem to a finite-dimensional one through a representer theorem and yields an algorithm via Riemannian gradient descent. We provide explicit, checkable conditions ensuring existence and uniqueness of the estimator.
Elias
Zimmermann
Universität Leipzig
Andrea
Poiatti
Universität Wien
Tony
Lelievre
CERMICS
Vitalii
Konarovskyi
U Hamburg
12. February
Thu W06
Guido
Gazzani
University of Verona
Beatrice
Ongarato
Technische Universität Dresden
14. February
Sat W06
Mikhail
Gorsky
Jean Monnet University
15. April
Wed W15
Pierluigi
Colli
Università Pavia, Italy
16. April
Thu W15
José Antonio
Carrillo
University of Oxford, United Kingdom
21. April
Tue W16
Pierrick
Bousseau
Oxford University
05. May
Tue W18
Damien
Simon
Sorbonne Universite
17. December
Thu W50
Lars
Kastner
TU Berlin
Drawing algebraic curves in OSCAR