A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3.

Title: Ricci flow from spaces with edge type conical singularities

Speaker: Lucas Lavoyer

Abstract: In this talk, we will give a brief introduction to the Ricci flow, and discuss how it can be used to smooth out certain singular spaces. We will then construct a solution to Ricci flow that smooths out certain spaces with edge type conical singularities along a closed curve, under some additional assumptions. We also prove curvature estimates for the solution and, for edge points, we show that the tangent flow belongs to a special class of solutions called expanding Ricci solitons.

Some snacks will be provided before and after the talk.

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