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Week of June 1, 2024

June 27, 2024
Applied Mathematics [3] Removability theorems for Sobolev functions and quasiconformal maps Stanislav Smirnov - University of Geneva 1:00pm -

Abstracts

Week of June 1, 2024

June 27, 2024
Applied Mathematics [3] Removability theorems for Sobolev functions and quasiconformal maps 1:00pm -

We establish several conditions, sufficient for a set to be (quasi)conformally removable, a property important in holomorphic dynamics. This is accomplished by proving removability theorems for Sobolev spaces inRn. The resulting conditions are close to optimal.

This work is a collaboration with Peter Jones
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[1] https://calendar.math.yale.edu/list/calendar/grid/week/2024-W21 [2] https://calendar.math.yale.edu/list/calendar/grid/week/2024-W23 [3] https://calendar.math.yale.edu/seminars/applied-mathematics [4] https://calendar.math.yale.edu/list/calendar/grid/week/abstract/2024-W21 [5] https://calendar.math.yale.edu/list/calendar/grid/week/abstract/2024-W23