Personal homepage of Konrad Zou

I am currently a post-doc at Jussieu under Pierre Colmez supported by the Simons Collaboration on Perfection in Algebra, Geometry, and Topology. I was a PhD student of Peter Scholze until September 2024, working on categorical local Langlands. I like to think about categorical Langlands theory of all flavors and physics. So far my research concentrated on the \(\ell\)-adic categorical Langlands program, both in the Fargues-Scholze and Zhu setting. Contact: firstname.lastname@imj-prg.fr

Articles

  1. Project on categorical second adjointness
    joint with Claudius Heyer, Lucas Mann (in preparation)
  2. The spectral action at unacceptable primes
    (in preparation)
  3. On the schematic and analytic constructions of the local Langlands category
    joint with Ian Gleason, Linus Hamann, Alexander B. Ivanov, João Lourenço (in preparation)
  4. Categorical local Langlands for \(\mathrm{GL}_n\) for parameters of Langlands-Shahidi type with integral coefficients
    (latest revision 2025), arXiv
  5. Geometric Casselman-Shalika in mixed characteristic
    joint with Ashwin Iyengar, Milton Lin (latest revision 2024, submitted), arXiv
  6. The categorical form of Fargues' conjecture for tori
    (latest revision 2024), arXiv

Invited talks

  1. The spectral action at bad primes
    Thematic Month "Around the Langlands Program", CIRM, Luminy, 17.02.2026 (it was pointed out afterwards by Tasho Kaletha, that "bad" was already a reserved word, therefore they are called "unacceptable" in the article)
  2. Categorical local Langlands for \(\mathrm{GL}_n\) for parameters of Langlands-Shahidi type with integral coefficients
    Arithmetic Geometry and Representation Theory Research Seminar, Max Planck Institute for Mathematics, Bonn 31.01.2025
  3. Categorical local Langlands for \(\mathrm{GL}_n\) in the generic case with integral coefficients
    Workshop on Shimura varieties, representation theory and related topics, Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, 07.10.2024
  4. Categorical local Langlands for \(\mathrm{GL}_n\): the irreducible case with integral coefficients
    Séminaire Groupes Réductifs et Formes Automorphes, IMJ-PRG, Paris, 22.01.2024
  5. Categorical local Langlands for \(\mathrm{GL}_n\): the irreducible case with integral coefficients
    The Arithmetic of the Langlands Program, Hausdorff Center for Mathematics, Bonn, 27.07.2023