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| Eilenberg Lectures | |
|---|---|
| Name | Eilenberg Lectures |
| Established | 20th century |
| Founder | Samuel Eilenberg |
| Frequency | Annual |
| Location | Columbia University; various academic venues |
| Discipline | Mathematics |
Eilenberg Lectures The Eilenberg Lectures are a distinguished annual lecture series established to honor the contributions of Samuel Eilenberg and to showcase advances in mathematics. The series has drawn speakers from institutions such as Princeton University, Harvard University, and Massachusetts Institute of Technology, and has intersected with topics associated with Algebraic Topology, Category Theory, Homological Algebra, and related areas across the global research community. Over decades the lectures have featured scholars affiliated with University of Chicago, California Institute of Technology, Stanford University, University of Cambridge, University of Oxford, and other leading centers.
The series was initiated in memory of Samuel Eilenberg and linked to departments including Columbia University and research groups connected to Institute for Advanced Study. Early iterations involved figures from Bourbaki-influenced circles and drew participants from École Normale Supérieure, University of Paris, and Institute Henri Poincaré. The program evolved alongside developments at Bell Labs and within collaborations such as those between Princeton University and Institute for Advanced Study, mirroring parallel lecture traditions like the Tarski Lectures, Noether Lectures, and Ihara Lectures while maintaining distinct emphasis on categorical and homotopical methods.
Designed to highlight foundational and emerging themes, the lectures aim to bridge work done at Princeton University, Harvard University, Massachusetts Institute of Technology, University of California, Berkeley, and University of Chicago with international research at University of Cambridge, University of Oxford, ETH Zurich, University of Bonn, Max Planck Institute for Mathematics, and CNRS. The scope spans connections to Algebraic Geometry via figures from IHES and Institut Fourier, interactions with Logic as cultivated at Université de Montréal and Rutgers University, and computational applications resonant with groups at Carnegie Mellon University and Microsoft Research.
Speakers have included prominent mathematicians and allied scholars affiliated with institutions and awards such as Fields Medal, Abel Prize, Wolf Prize, and MacArthur Fellowship. Lecturers have come from Columbia University, Princeton University, Harvard University, Massachusetts Institute of Technology, Stanford University, University of California, Berkeley, University of Chicago, University of Cambridge, University of Oxford, ETH Zurich, IHES, Max Planck Institute for Mathematics, CNRS, École Normale Supérieure, University of Bonn, Rutgers University, Carnegie Mellon University, Microsoft Research, Bell Labs, Yale University, Brown University, Duke University, University of Michigan, University of Toronto, Université de Montréal, Imperial College London, King's College London, University of Edinburgh, Trinity College Dublin, University of Warwick, University of Manchester, University of Glasgow, Seoul National University, University of Tokyo, Kyoto University, Peking University, Tsinghua University, National University of Singapore, Australian National University, University of Melbourne, University of Sydney, Copenhagen University, Uppsala University, University of Helsinki, University of Oslo, University of Amsterdam, Leiden University, Ghent University, KU Leuven, University of Lisbon, University of Barcelona, Sorbonne University, University of Paris-Saclay.
Typically organized by mathematics departments and research institutes at Columbia University or partner institutions, the series follows formats similar to the Wiles Lecture and Rouse Ball Lecture with multi-part expositions and accompanying seminars. Logistics often involve coordination with grants from organizations like the National Science Foundation, fellowships such as Simons Foundation awards, and collaborations with publishers including Springer, Elsevier, Oxford University Press, and Cambridge University Press for eventual publication. Administrative oversight has been provided by departmental committees drawing members from Princeton University, Harvard University, Yale University, MIT, Stanford University, and international committees linked with EMS and AMS.
The lecture series influenced research directions in Category Theory, Homotopy Theory, Algebraic Topology, and Homological Algebra, shaping curricula at institutions like University of California, Berkeley, Princeton University, Harvard University, Massachusetts Institute of Technology, University of Chicago, Stanford University, University of Cambridge, and ETH Zurich. Ideas presented in the lectures have been cited in monographs published by Springer, Cambridge University Press, and Oxford University Press and have permeated courses and seminars at Institute for Advanced Study, IHES, Max Planck Institute for Mathematics, CNRS, École Normale Supérieure, University of Bonn, Rutgers University, Carnegie Mellon University, and Microsoft Research.
Lecture topics have ranged across Category Theory and its applications to Algebraic Geometry, Algebraic Topology, Representation Theory, K-Theory, Higher Category Theory, Derived Algebraic Geometry, Motivic Homotopy Theory, Operads, Topos Theory, Model Categories, Spectral Sequences, Hochschild Homology, Koszul Duality, Tannakian Duality, Equivariant Homotopy Theory, Stable Homotopy Theory, Chromatic Homotopy Theory, Infinity-Categories, Algebraic K-Theory, Morse Theory, Index Theory, Sheaf Theory, Perverse Sheaves, D-Modules, Langlands Program, Geometric Representation Theory, Moduli Spaces, Mirror Symmetry, Enumerative Geometry, Gromov–Witten Theory, Teichmüller Theory, Noncommutative Geometry, Operadic Homology, Topological Quantum Field Theory, Quantum Groups, Cluster Algebras, Symplectic Geometry, Floer Homology, Tropical Geometry, Arithmetic Geometry, p-adic Hodge Theory, Motives, Birch and Swinnerton-Dyer Conjecture, Hodge Theory, Deformation Theory, Algebraic Stacks, Intersection Theory, Singularity Theory, Real Algebraic Geometry, Combinatorial Topology.
Category:Mathematics lecture series