The goal of the seminar is to report on recent joint work with Daniele Semola, motivated by a question of Gromov to establish a “synthetic regularity theory" for minimal surfaces in non-smooth ambient spaces.
In the setting of non-smooth spaces with lower Ricci Curvature bounds:
I will present aspects of a theory of space-time integral currents with bounded variation in time. This is motivated by a recent model for elasto-plastic evolutions that are driven by the flow of dislocations (this model is joint work with T. Hudson). The classical scalar BV-theory can be recovered as the 0-dimensional limit case of this BV space-time theory.
Zoom Meeting: https://pitt.zoom.us/j/95465740077
Meeting Id: 954 657 40077
Emily Bennett from the Career Center will give a talk about the services and opportunities that the center offers. The meeting will be held via Zoom and all are welcome to attend.
If you are wondering how your hard work as a math major can translate into job opportunities down the road, join the meeting and find out how the Career Center can help.
Mean curvature flow is the gradient flow of the area functional and constitutes a natural geometric heat equation on the space of hypersurfaces in an ambient Riemannian manifold. It is believed, similar to Ricci Flow in the intrinsic setting, to have the potential to serve as a tool to approach several fundamental conjectures in geometry. The obstacle for these applications is that the flow develops singularities, which one in general might not be able to classify completely.
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Meeting ID: 976 7703 8218
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Meeting ID: 976 7703 8218
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