# Mathematical Sciences Research Institute

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# Seminar

OT Programmatic Seminar: Type II ancient solutions to the Yamabe flow September 19, 2013 (03:45 PM PDT - 04:45 PM PDT)
Parent Program: Optimal Transport: Geometry and Dynamics MSRI: Simons Auditorium
We will discuss the construction on new Type II compact ancient compact solutions to the  Yamabe flow.  Our solutions are rotationally symmetric and converge, as $t \to -\infty$,  to a tower of N spheres. Their curvature operator changes sign. Our technique may be viewed as a  parabolic analogue of  gluing  two  exact solutions to the rescaled equation, that is the spheres, with narrow cylindrical necks to obtain a new ancient solution to the Yamabe flow.