Seminar
| Parent Program: | |
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
The non-Archimedean approach to the Yau–Tian–Donaldson conjecture
Dirac Operators on Orbifold Resolutions
Pietro Mesquita-Piccione: "The non-Archimedean approach to the Yau–Tian–Donaldson conjecture"
Abstract: In this talk, I'll discuss a possible non-Archimedean approach to solving the Yau–Tian–Donaldson conjecture. I will give a brief idea of how to make a step towards implementing this approach, generalizing to the transcendantal setting a result of Chi Li.
Viktor Majewski: "Dirac Operators on Orbifold Resolutions"
Abstract: Dirac operators on resolutions of Riemannian orbifolds are of interest in many branches of mathematics such as Riemannian geometry, gauge theory and geometric analysis. These operators appear as deformation operators of moduli problems such as special holonomy metrics, holonomy instantons or calibrated suborbifolds. In order to solve related gluing problems, it is essential to construct and bound right-inverses to these Dirac operators. In this talk, we will discuss Dirac operators on orbifold resolution and show that for a subclass of so-called isentropic Dirac operators, uniform bounds for the right-inverse can be obtained close to the adiabatic limit.
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