# Seminars & Colloquia Calendar

Joint Princeton-Rutgers Seminar on Geometric PDE's

## Stability of Sobolev and Harmonic Map Inequalities

#### Juncheng Wei, The University of British Columbia

Location:  Zoom
Date & time: Friday, 10 December 2021 at 1:00PM - 2:30PM

December 10, 2021, Friday, 1:00pm (EST),
Abstract: In this talk, I will discuss our recent results on stability of Sobolev inequalities and Harmonic Map Inequalities. For Sobolev inequality we obtain the sharp estimates of the deficiency of $$u$$ and sum of Talenti bubbles in terms of the $$H^{-1}$$ norm of the Yamabe equation $$\Delta u + u^{\frac{n+2}{n-2}}$$. For Harmonic Maps Inequalities, we show that a striking dichotomy in stability between degree one and higher degree maps. (Joint work with B. Deng and L. Sun.)
• December 10, 2021, Friday, 2:00-2:30pm (EST),

Zoom link to seminar: (https://princeton.zoom.us/j/92668943856) (Meeting ID: 926 6894 3856)
Coffee Hour: (https://gather.town/invite?token=TQlTdtInLUCwYQUwdKXaIvJGQ7Y2wPcV) (Password: PR122021)

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