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| Hilbert Lectureship | |
|---|---|
| Name | Hilbert Lectureship |
| Established | 20th century |
| Country | International |
| Discipline | Mathematics |
| Frequency | Annual |
| Hosted by | Various universities and academies |
Hilbert Lectureship The Hilbert Lectureship is an annual celebrated lecture series named in honor of David Hilbert, associated with leading institutions across Germany, United States, United Kingdom, France, and Japan. It attracts eminent mathematicians and allied scholars, linking traditions of Göttingen University, Princeton University, Cambridge University, École Normale Supérieure, and University of Tokyo. The program often intersects with major prizes such as the Fields Medal, Abel Prize, Wolf Prize, Clay Research Award, and Crafoord Prize.
The origins trace to commemorations of David Hilbert in the decades following the World War I and World War II periods, when institutions like University of Göttingen, Hilbert's collaborators, and contemporaries including Felix Klein, Emmy Noether, Hermann Weyl, John von Neumann, and Andrey Kolmogorov sought venues paralleling lectureships associated with Cantor, Riemann, Gauss, Euler, and Leibniz. Early patrons included bodies such as the German Research Foundation, Royal Society, National Science Foundation, Deutsche Mathematiker-Vereinigung, and foundations modeled on Kaiser Wilhelm Society and Carnegie Institution. The series evolved amid intellectual currents linked to conferences like the International Congress of Mathematicians, Bourbaki Seminar, Séminaire Bourbaki, and meetings at Institute for Advanced Study, Mathematical Institute, Oxford, and Institut des Hautes Études Scientifiques.
The Lectureship aims to disseminate research aligned with themes prominent in Hilbert's work, such as foundations exemplified by Hilbert's problems, axiomatic methods championed by Bernays, Gödel, Kurt Gödel, and Hilbert–Bernays. It promotes connections across analysis associated with Stefan Banach, John Littlewood, G. H. Hardy, algebra linked to Emmy Noether, Alexandre Grothendieck, topology represented by Henri Poincaré and Lefschetz, and mathematical physics related to Albert Einstein, Paul Dirac, Richard Feynman, and Edward Witten. The scope embraces modern topics intertwined with awards like the Shaw Prize, Nevalinna Prize, Chern Medal, and collaborations with institutes such as Max Planck Society, CNRS, and Riken.
Appointments are made by committees drawn from organizations such as International Mathematical Union, European Mathematical Society, American Mathematical Society, Deutsche Mathematiker-Vereinigung, and host departments at Princeton University, Harvard University, University of Cambridge, ETH Zurich, and Sorbonne University. Selection criteria reference citation records in journals like Annals of Mathematics, Inventiones Mathematicae, Journal of the American Mathematical Society, Acta Mathematica, and Communications in Mathematical Physics, as well as recognition via prizes including Fields Medal, Abel Prize, Crafoord Prize, Wolf Prize, and fellowships from Royal Society, American Academy of Arts and Sciences, and National Academy of Sciences.
Past lecturers include laureates and figures such as Alexander Grothendieck, Jean-Pierre Serre, Pierre Deligne, Andrew Wiles, Terence Tao, Grigori Perelman, Michael Atiyah, John Milnor, Enrico Bombieri, Shing-Tung Yau, Maxim Kontsevich, Edward Witten, Karen Uhlenbeck, Louis Nirenberg, Jean Bourgain, Vladimir Voevodsky, Maryam Mirzakhani, Cédric Villani, Ian Agol, Simon Donaldson, Klaus Roth, Mikhail Gromov, Olivier Biquard, and Gerd Faltings. Landmark lectures addressed themes from Hilbert's problems to breakthroughs related to the Poincaré conjecture, Fermat's Last Theorem, Langlands program, Mirror Symmetry, Geometric Langlands, Index Theorem, and advances tied to Noncommutative Geometry as in Alain Connes's work.
Typical formats mirror seminars at Institute for Advanced Study, Mathematical Sciences Research Institute, and summer schools like CIME Summer School: a multi-lecture course of three to five talks, public plenaries, and workshops linked to specialized symposia such as ICM satellite conferences, Erlangen Program-themed meetings, and focused sessions on topics like Partial Differential Equations (with links to Sergiu Klainerman, L. C. Evans), Algebraic Geometry (with ties to Grothendieck, Mumford), Number Theory (with connections to Langlands, Iwasawa), Topology (with names like William Thurston, Raoul Bott), and intersections with Mathematical Physics evident in lectures referencing Yang–Mills theory, String Theory, and Quantum Field Theory. Sessions often produce lecture notes published in series by Springer, Cambridge University Press, and Princeton University Press.
Hosts have included departments and institutes such as University of Göttingen, Princeton University, ETH Zurich, University of Paris, University of Cambridge, Harvard University, and research centers like MSRI, IHÉS, Perimeter Institute, Kavli Institute for Theoretical Physics, and Max Planck Institute for Mathematics. Funding sources derive from agencies and donors such as European Research Council, Deutsche Forschungsgemeinschaft, National Science Foundation, Simons Foundation, Alexander von Humboldt Foundation, private benefactors modeled after Guggenheim Foundation and corporate partners inspired by IBM, Google, and Microsoft Research.
The Lectureship has shaped directions paralleling milestones like the proof of Fermat's Last Theorem, progress on the Poincaré conjecture, and developments within the Langlands program, influencing cohorts associated with institutions such as Princeton, IAS, Cambridge, and École Normale Supérieure. It has fostered collaborations tied to projects at MSRI, IHÉS, Clay Mathematics Institute, and promoted careers leading to honors like the Fields Medal, Abel Prize, Crafoord Prize, Wolf Prize, and membership in academies including Royal Society and National Academy of Sciences. The archival lecture notes and recorded talks form part of collections alongside those of Bourbaki, Noether Lectures, and named series such as the Sylvester Lectures and Dirichlet Lectures.
Category:Mathematics lectures