Seminar
Andrea Mondino - Optimal Transport, weak Laplacian bounds and minimal boundaries in non-smooth spaces with Lower Ricci Curvature bounds
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:
Joan Verdera - The regularity of the boundary of a vortex patch and commutators of singular integrals
Filip Rindler - Space-time integral currents of bounded variation
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.
Planar embeddings of chainable continua
Zoom Meeting: https://pitt.zoom.us/j/95465740077
Meeting Id: 954 657 40077
Career Center Services Talk
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.
The ABCs of PCF, with applications to Dowker spaces
Felix Schulze - Mean curvature flow with generic initial data
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.
Energy-preserving, Adaptive Time-Step Variational Integrators
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https://pitt.zoom.us/j/97677038218
Meeting ID: 976 7703 8218
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Meeting ID: 976 7703 8218
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