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Nonlinear Analysis

Which magnetic fields support a zero mode?

Rupert Frank, LMU Munich

Location:  ZOOM
Date & time: Wednesday, 06 October 2021 at 9:30AM - 10:30AM

Abstract: Motivated by the question from mathematical physics about the size of magnetic fields that support zero modes for the three dimensional Dirac equation, we study a certain conformally invariant spinor equation. We state some conjectures and present results in their support. Those concern, in particular, two novel Sobolev inequalities for spinors and vector fields. The talk is based on joint work with Michael Loss.

Zoom link: https://rutgers.zoom.us/j/96430905091?pwd=Tkp4N0FlRnk3ZXZLWTl6LzRHdkNZdz09
Meeting ID: 964 3090 5091 Passcode: 491508

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