Lebendiger Einblick: Vortragsvideos aus der Forschung

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In der Rubrik „Forschung“ auf unserer Webseite finden Sie umfassende Informationen zu den mathematischen Forschungsschwerpunkten unseres Clusters. Als Ergänzung finden Sie hier einige Vortragsvideos unserer Wissenschaftler:innen. So erhalten Sie einen Einblick in ihre Arbeit.

  Bitte beachten Sie: Einige der Video- Links führen direkt  zu YouTube. Zum Abspielen des Videos wird dieses von einem Webserver der Firma Google geladen. Dabei werden Daten an Google übertragen.  

ICM lectures

Gustav Holzegel, Peter Hintz: "Recent Progress in General Relativity"
Special invited lecture at the ICM 2022, July 2022.

Thomas Nikolaus: "Frobenius homomorphisms in higher algebra"
Invited lecture at the ICM 2022, Topology Section, Copenhagen, July 2022.

Arthur Bartels: "K-theory and actions on Euclidean retracts"
Invited lecture at ICM 2018, section "Topology", Rio de Janeiro, August 2018.

Eva Viehmann: "Moduli spaces of local G-shtukas"
Invited lecture at ICM 2018, section "Lie Theory and Generalizations", Rio de Janeiro, August 2018.

Wilhelm Winter: "Nuclear C*-algebras: From quasidiagonality to classification and back again"
Invited lecture at ICM 2018, section "Analysis and Operator Algebras", Rio de Janeiro, August 2018.

Recently added

Chiranjib Mukherjee: "Percolation and geometry of Cayley Graphs"
Talk at "Advances in probability theory and interacting particle systems: A conference in honor of S. R. Srinivasa Varadhan", Harvard Mathematics Department, August 2024.

Shirly Geffen: "C*-algebras associated with boundary actions of certain torsion-free hyperbolic groups"
Talk at the thematic meeting "Group operator and non commutative geometry", CIRM, Marseille, April 2024.

Christopher Deninger: "Zeta functions and cohomology"
Lecture on selected areas in pure mathematics, Institute of Mathematics, VAST, March 2024.

Rudolf Zeidler: "Metric inequalities under lower scalar curvature bounds"
Talk at the Mathematics Münster Mid-term Conference, March 2024.

Hendrik Weber: "Noise, differential equations andquantum fields"
Talk at the Mathematics Münster Mid-term Conference, March 2024.

Jörg Schürmann: "Equivariant toric geometry and Euler-Maclaurin formulae"
Talk at the workshop "Singularity theory and hyperbolicity", Isaac Newton Institute, Cambridge, March 2024.

Videos by research areas (2018 - 2023)

Arithmetic and Groups

This research area focuses on problems of algebraic nature with methods ranging from representation and cohomology theory to model theory and mathematical logic.

Eugen Hellmann: "An Introduction to the Categorical p-adic Langlands Program"
Talk at the summer school on the Langlands program, Institut des Hautes Études Scientifiques (IHÉS), Paris, July 2022.

Ralf Schindler: "MM ++ ⇒ (∗)"
Talk on the occasion of the awarding of the 5th Hausdorff Medal at the European Set Theory Conference, the biennial conference of the ESTS, August 2022. (watch "Hausdorff Medal Ceremony Video" starting at 15:00)

Christopher Deninger: "Primes, knots and periodic orbits"
Talk at the Colloquio De Giorgi, Pisa, March 2022.

Eugen Hellmann: "On the derived category of the Iwahori-Hecke algebra"
Talk at "SMRI Algebra and Geometry Online", SMRI, Sydney, July 2020.

Franziska Jahnke: "Henselian expansions of NIP fields"
Talk at the workshop "Recent Applications of Model Theory", Fields Institut, Toronto, July 2019.

Ralf Schindler: "MM++ implies (*)"
Talk at the workshop "Higher Recursion Theory and Set Theory", IMS/NUS, Singapore, June 2019.

Ralf Schindler: "'Paradoxical' sets with no well-ordering of the reals"
Talk at the seminars "Proof Theory" and "Logic Online Seminar", MIAN, Moscow, October 2018.

Thomas Nikolaus: "Cyclotomic Spectra and Dieudenné Modules 1"
Talk at the "Homotopy Theory Summer", Berlin, June 2018.

Martin Hils: "Definable equivariant retractions onto skeleta in non-Archimedean geometry"
Talk at the meeting "Model Theory and Applications", IHP, Paris, March 2018.

Spaces and Operators

This research area studies spaces and in particular manifolds, dynamical systems, geometric structures on manifolds, symmetries and automorphisms of manifolds.

Raimar Wulkenhaar: "Quantum fields on noncommutative geometries"
Talk at the workshop on "Operator Algebras and Applications: Non-Commutative Geometry", Fields Institute, December 2023.

Arthur Bartels: "K-theory of Hecke algebras"
Talk at the "Topology Workshop", HIM Bonn, September 2022.

Rudolf Zeidler: "Scalar and mean curvature comparison via the Dirac operator"
Talk at the "Not Only Scalar Curvature Seminar", IHÉS, January 2022.

Raimar Wulkenhaar: "Topological recursion of scalar fields in noncommutative geometry"
Talk at the "Global Noncommutative Geometry Seminar" (Europe), May 2021.

Giles Gardam: "Kaplansky's conjectures"
Online talk at "Symmetry in Newcastle", University of Newcastle, Australia, Feb. 2021.

Michael Weiss: "Rational Pontryagin classes of Euclidean fiber bundles"
3 talks at the HCM workshop "Automorphisms of Manifolds", Bonn, Sep. 2019.

Eusebio Gardella: "Equivariant model theory and applications to C*-dynamics"
Talk at the workshop "Model Theory and Operator Algebras", BIRS, Banff, Nov. 2018.

Models and Approximations

This research area focuses on the development and foundation of mathematical models and their approximations that are relevant in the life sciences, physics, chemistry, and engineering.

Joachim Lohkamp: "Removal of Singularities"
Workshop on " Recent Advances on Scalar Curvature Problems", Simons Center for Geometry and Physics, June 2022.

Hendrik Weber: "Interacting Particle Systems and stochastic PDEs"
Lecture series at the workshop "Interacting particle systems and hydrodynamic limits", CRM, Montréal, March 2022.

Theresa Simon: "Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimenional sphere"
Talk at CNA seminar, Pittsburgh, October 2021.

Mario Ohlberger: "Model reduction with adaptive enrichment for large scale PDE constrained optimization"
Talk at DDPS seminar, Livermore Lab Events, March 2021.

Zakhar Kabluchko: "Random polytopes"
Lecture series at online school "Randomness online", EIMI, November 2020.

Arnulf Jentzen: "Overcoming the curse of dimensionality: from nonlinear Monte Carlo to deep artificial neural networks"
Talk at "SN Partial Diffential Equations and Applications Webinar Series", October 2020.

André Schlichting: "Dynamic behavior of growth processes: Phase separation, self-similarity, and oscillations"
Talk at CNA Seminar, March 2020.

Angela Stevens: "Signaling gradients in surface dynamics as basis for regeneration in flatworms"
Talk at the thematic month "Mathematics of Complex Systems in Biology and Medicine", CIRM - Luminy, Marseille, February 2020.

Benedikt Wirth: "Variational models for transportation networks: old and new formulations"
Talk at the workshop "New trends and challenges in the mathematics of optimal design", INI, Cambridge, June 2019.

Benedikt Wirth: "Optimal transport based regularization"
Talk at the long program "Geometry and Learning from Data in 3D and Beyond", IPAM/UCLA, Los Angeles, April 2019.

Christian Engwer: "DUNE Collaborating via Interfaces"
Talk at the 2019 SIAM Conference on Computational Science and Engineering (CSE), Spokane, Washington, February/March 2019.