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Informal Geometric Analysis Seminar | Huangchen Zhou

Thursday, November 21, 2024 | 11:00 AM - 12:00 PM CT
Lunt Hall, 101, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: An estimate using auxiliary Monge-Ampère equation

Abstract: We will discuss the technique developed by Guo-Phong-Song-Sturm, using an auxiliary Monge-Ampère equation to establish L^\infty estimates of harmonic functions on compact Kähler manifolds, with very mild assumptions. The argument is interesting since it solves a problem in linear PDE using fully nonlinear PDE. If time permits, we may discuss some possible extensions.

Audience

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

Contact

Gabor Szekelyhidi  

gaborsz@northwestern.edu

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