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On the work of Graeme Segal

Abstract

This is my written Laudatio for Graeme Segal on receiving the Chern Medal at the 2026 International Congress of Mathematicians. I make some general remarks about Segal's qualities as a mathematician. Then I discuss the origins of his work on classifying spaces of categories and Gamma-spaces. In the last section I describe his axiom system for Wick-rotated quantum field theory and some of his subsequent work in the area. Of course, this is necessarily only a small slice of Segal's total research output.

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BibTeX
@misc{freed2026work,
  title = {{On the work of Graeme Segal}},
  author = {Daniel S. Freed},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19012},
  eprint = {2610.19012},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19012},
}
RIS
TY  - UNPB
TI  - On the work of Graeme Segal
AU  - Daniel S. Freed
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.19012
UR  - https://arxiv.org/abs/2610.19012
AB  - This is my written Laudatio for Graeme Segal on receiving the Chern Medal at the 2026 International Congress of Mathematicians. I make some general remarks about Segal's qualities as a mathematician. Then I discuss the origins of his work on classifying spaces of categories and Gamma-spaces. In the last section I describe his axiom system for Wick-rotated quantum field theory and some of his subsequent work in the area. Of course, this is necessarily only a small slice of Segal's total research output.
ER  -