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  1. 20. Mai 2024 · Learn about Pierre Deligne, a renowned mathematician who worked on algebraic geometry and won several prestigious prizes. He was a professor at IHES from 1970 to 1984 and continued the work of Alexander Grothendieck.

  2. Vor 5 Tagen · The proof of the Riemann hypothesis for varieties over finite fields by Deligne (1974) is possibly the single strongest theoretical reason in favor of the Riemann hypothesis. This provides some evidence for the more general conjecture that all zeta functions associated with automorphic forms satisfy a Riemann hypothesis, which ...

  3. www.quantamagazine.org › a-rosetta-stone-for-mathematicsQuanta Magazine

    6. Mai 2024 · In 1973 Pierre Deligne used Grothendieck’s techniques to prove Weil’s finite-field version of the Riemann hypothesis in higher dimensions. Weil’s Rosetta stone has also guided progress in the Langlands program, a grand project to unify disparate fields of mathematics.

  4. 7. Mai 2024 · Pierre Deligne, Catégories Tannakiennes. The following paper shortens Deligne’s proof. Alexander L. Rosenberg, The existence of fiber functors, The Gelfand Mathematical Seminars, 1996–1999, 145–154, Birkhäuser, Boston 2000. Deligne’s proof in turn fills the gap in the seminal work with the same title

  5. Vor 6 Tagen · Eric D'Hoker, D. H. Phong, Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems ( arXiv:hep-th/9912271) as well as various of the lectures in the collection. Pierre Deligne et al., Quantum Fields and Strings. See also: Konstantinos Koutrolikos, ‘Just another field theory’ approach to N = 1. 𝒩 = 1.

  6. Vor 5 Tagen · I first came to IHES in the early 1980s to discuss the second part of my habilitation (“thèse d’État” at this time in France) with Pierre Deligne. The thèse d’État consisted of two parts. The first part involved presenting one’s own research.

  7. 20. Mai 2024 · Deligne-Lusztig theory: examples and applications. Geometry and representation theory are intertwined in deep and foundational ways.