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Algebraic Geometry Seminar | Supravat Sarkar (Princeton University)

Wednesday, April 29, 2026 | 3:00 PM - 4:00 PM CT
Lunt Hall, 103, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Proof of Miyanishi's conjecture on endomorphisms of varieties

Abstract: If X is a quasi-projective variety over a field k and ϕ a birational endomorphism of X that is injective outside a closed subset of codimension >= 2, we prove that ϕ is an automorphism. This generalizes an old theorem of Ax and proves a conjecture of Miyanishi from 2005. A key step in our proof is a finiteness result on class groups, which is of interest in its own right.

Audience

  • Faculty/Staff
  • Student
  • Post Docs/Docs
  • Graduate Students

Contact

Yuchen Liu
(847) 491-5553
Email

Interest

  • Academic (general)

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