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Analysis Seminar

SPEAKER: Jeffrey Utley (UTK)

TITLE: A family of Loewner hulls with complex-valued drivers

ABSTRACT: While Loewner hulls for real-valued driving functions are well-understood, complex-valued driving functions are an area of new exploration. In this talk, I describe the general properties of complex-driven Loewner hulls and use them to analyze a family of Loewner hulls driven by functions c*sqrt(1-t), for complex-valued c. Specifically, I outline our proof that phase transitions in the complex case are different than in the real case. I also discuss further questions about complex-valued Loewner hulls which motivate more research. This is joint work with Dr. Lind.

Wednesday, September 15, 2021 at 2:15pm to 3:15pm

Ayres Hall, 112
1403 Circle Drive, Knoxville, TN 37996

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